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Page 1: 2015.08.31 - 153041-CN-01 Rev0
Page 2: 2015.08.31 - 153041-CN-01 Rev0

CALCULATION NOTES

File No. 153041

Ref. No. 153041-CN-01

Rev. 0

Date 31 August 2015

Page 2 of 58

CLIENT:

Mr. Abdullah Al Sharif

CONSULTANT:

Art & Design Eng. Consultants

MAIN-CONTRACTOR:

M/s National Contg. & Transport Co. LLC

CONTENTS

1 Material properties 4

2 Design approach 4

3 Calculation references and design programs used 4

4 Load combinations 4

5 Load breakdown 5

7 Design of hollow core slabs

*Ground Floor HCS Layout 6

Case - 1 7

HCS Thickness : 320mm

Topping : 60mm (Composite)

Strand Pattern : 10 – 12.5 dia

Span : 10.66m

Sdl : 7.50kpa (including 60mm thk Topping)

Sll : 3.00kpa

Conclusion : Pass

Case – 2 17

HCS Thickness : 320mm

Topping : 60mm (Composite)

Strand Pattern : 8 – 12.5 dia

Span : 8.95m

Sdl : 7.50kpa (including 60mm thk Topping)

Sll : 3.00kpa

Conclusion : Pass

Page 3: 2015.08.31 - 153041-CN-01 Rev0

CALCULATION NOTES

File No. 153041

Ref. No. 153041-CN-01

Rev. 0

Date 31 August 2015

Page 3 of 58

CLIENT:

Mr. Abdullah Al Sharif

CONSULTANT:

Art & Design Eng. Consultants

MAIN-CONTRACTOR:

M/s National Contg. & Transport Co. LLC

*First Floor HCS Layout 27

Case – 3 28

HCS Thickness : 320mm

Topping : 60mm (Composite)

Strand Pattern : 8 – 12.5 dia

Span : 9.02m

Sdl : 7.50kpa (including 60mm thk Topping)

Sll : 3.00kpa

Conclusion : Pass

Case – 4 38

HCS Thickness : 320mm

Topping : 60mm (Composite)

Strand Pattern : 6 – 12.5 dia

Span : 6.92m

Sdl : 7.50kpa (including 60mm thk Topping)

Sll : 3.00kpa

Conclusion : Pass

*Roof Floor HCS Layout 48

Case - 5 49

HCS Thickness : 320mm

Topping : 60mm (Composite)

Strand Pattern : 8 – 12.5 dia

Span : 9.3m

Sdl : 6.00kpa (including 60mm thk Topping)

Sll : 2.00kpa

Conclusion : Pass

Page 4: 2015.08.31 - 153041-CN-01 Rev0

CALCULATION NOTES

File No. 153041

Ref. No. 153041-CN-01

Rev. 0

Date 31 August 2015

Page 4 of 58

CLIENT:

Mr. Abdullah Al Sharif

CONSULTANT:

Art & Design Eng. Consultants

MAIN-CONTRACTOR:

M/s National Contg. & Transport Co. LLC

DESIGN CONCEPT/APPROACH

These hollow cores slabs design the conservative elements to represent those within the same spans/loadings.

CALCULATION REFERENCES AND DESIGN PROGRAMS USED:

ACI-318M -08 - Building Code Requirements for Structural Concrete

PCI - Design Manual 6th Edition

MATERIAL PROPERTIES

Concrete compressive strengths

Pre-stressed hollow cores fcu = 60 N/mm2 (fc’ = 48 N/mm2)

Concrete Density

Reinforced Concrete Density; γconc = 25 kN/m3;

Nominal Cover

HCS cov = 30 mm

Fire Resistance

HC Slabs 1.5h cov = 30 mm

Reinforcements

Pre-stressing strands; 12.5 dia fpu = 1770 N/mm2

LOAD COMBINATIONS .......................................................................ACI-318-08

LC1. 1.2DL + 1.6LL

Page 5: 2015.08.31 - 153041-CN-01 Rev0

Project: 153041

Job # B+G+1 Villa for Abdullah Al Sharif

Contractor: M/s Nat'l. Contg. & Transport Co. LLC

Rev: 0

BREAKDOWN OF LOADS USED ON ANALYSIS

1 ROOF FLOOR HCS320 Beam load Slab loadDEAD LOADS

Pressure

320 mm thick Hollow core 4.05 Jt grout + add'l SW 0.22 60 mm structural screed 1.50 1.50 Roof finishes & services 4.00 4.00

Ceiling 0.50 0.50

subtotal 10.27 kPa 6.00 kPa

LIVE LOAD 2.00 kPa 2.00 kPa

2 GF & F. Floor HCS2 320 Beam load Slab load

DEAD LOADSPressure

load, (kPa)

320 mm thick Hollow core 4.05

Jt grout + add'l SW 0.22

60 mm structural screed 1.50 1.50

Finishes, ceiling & serv. 2.50 2.50

Partitions (distributed load) 3.50 3.50

subtotal 11.77 kPa 7.50 kPa

LIVE LOAD 3.00 kPa 3.00 kPa

Description

Description

Page 5 of 58

Page 6: 2015.08.31 - 153041-CN-01 Rev0

Page 6 of 58

adf
Text Box
CASE 1: HCS320 x 10.66m w/ 10-12.5dia. strands. SDL = 7.5 kPa LL = 3.0 kPa
adf
Rectangle
adf
Polygonal Line
adf
Text Box
CASE 2: HCS320 x 8.95m. w/ 8-12.5dia. strands. SDL = 7.5 kPa LL = 3.0 kPa
adf
Rectangle
adf
Polygonal Line
adf
Text Box
GROUND FLOOR HCS LAYOUT
adf
Polygonal Line
Page 7: 2015.08.31 - 153041-CN-01 Rev0

C1 GF HCS320 x 10.66m with 10-12.5strands.con

Concise Beam, Version 4.58f, Copyright 2002-2012 Black Mint Software, Inc.

Licensed to: 4113040214, United Precast Concrete LLC - OK

Project:

Problem:

Engineer: Engineering Dept

File: C1 GF HCS320 x 10.66m with 10-12.5strands.con Mon Aug 31 11:35:20 2015�

Company: United Precast Concret

Page 7 of 58

Page 8: 2015.08.31 - 153041-CN-01 Rev0

Shear Design Graph

Concise Beam, Version 4.58f, Copyright 2002-2012 Black Mint Software, Inc.

Licensed to: 4113040214, United Precast Concrete LLC - OK

Project:

Problem:

Engineer: Engineering Dept

File: C1 GF HCS320 x 10.66m with 10-12.5strands.con Mon Aug 31 11:36:04 2015�

Company: United Precast Concret

Distance From Left End of Beam - m

Sh

ea

r -

kN

Shear DesignShear Design

0.00 1.07 2.13 3.20 4.26 5.33 6.40 7.46 8.53 9.59 10.66

300

240

180

120

60

0

-60

-120

-180

-240

-300

Factored Design Shear, Vu

Total Strength Provided, ØVn

Minimum Strength Required

Concrete Strength Provided, ØVc

Critical Section for Shear Loading

Page 8 of 58

Page 9: 2015.08.31 - 153041-CN-01 Rev0

Flexural Design Graph

Concise Beam, Version 4.58f, Copyright 2002-2012 Black Mint Software, Inc.

Licensed to: 4113040214, United Precast Concrete LLC - OK

Project:

Problem:

Engineer: Engineering Dept

File: C1 GF HCS320 x 10.66m with 10-12.5strands.con Mon Aug 31 11:35:57 2015�

Company: United Precast Concret

Distance From Left End of Beam - m

Mo

me

nt

- k

Nm

Flexural DesignFlexural Design

0.00 1.07 2.13 3.20 4.26 5.33 6.40 7.46 8.53 9.59 10.66

560

490

420

350

280

210

140

70

0

-70

-140

Factored Moment, Mu: +ve Bending

Design Strength, ØMn: +ve Bending

Factored Moment, Mu: -ve Bending

Design Strength, ØMn: -ve Bending

Page 9 of 58

Page 10: 2015.08.31 - 153041-CN-01 Rev0

Deflection Estimate on Final Supports Graph

Concise Beam, Version 4.58f, Copyright 2002-2012 Black Mint Software, Inc.

Licensed to: 4113040214, United Precast Concrete LLC - OK

Project:

Problem:

Engineer: Engineering Dept

File: C1 GF HCS320 x 10.66m with 10-12.5strands.con Mon Aug 31 11:36:12 2015�

Company: United Precast Concret

Distance From Left End of Beam - m

De

fle

cti

on

-

mm

Deflection Estimate on Final SupportsDeflection Estimate on Final Supports

0.00 1.07 2.13 3.20 4.26 5.33 6.40 7.46 8.53 9.59 10.66

28.00

24.00

20.00

16.00

12.00

8.00

4.00

0.00

-4.00

-8.00

-12.00

Deflection @ Erection

Deflection On Completion

Final DL Deflection

Final DL + LL Deflection

Page 10 of 58

Page 11: 2015.08.31 - 153041-CN-01 Rev0

Summary Report

Concise Beam, Version 4.58f, Copyright 2002-2012 Black Mint Software, Inc.

Licensed to: 4113040214, United Precast Concrete LLC - OK

Project:

Problem:

1File: C1 GF HCS320 x 10.66m with 10-12.5strands.con

Engineer: Engineering Dept

Mon Aug 31 11:37:04 2015�

Company: United Precast Concret

SUMMARY REPORT

Design Code Used: ACI 318-08

______________________________________________________________________________________________________________

CONCRETE MATERIAL PROPERTIES

Precast Beam Cast-in-Place Pour

___________________________ ___________________________

Concrete Density Wt = 2500 kg/m^3 Wt = 2500 kg/m^3

Compressive Strength f'c = 48.0 MPa f'c = 32.0 MPa

Modulus of Elasticity Ec = 37015 MPa Ec = 30222 MPa

Strength at Transfer f'c = 31.2 MPa

Modulus of Elast. at Transfer Ec = 29842 MPa

Strength at Lifting f'c = 31.2 MPa

Modulus of Elast. at Lifting Ec = 29842 MPa

Cement Content = 410 kg/m^3 Construction Schedule

Air Content = 5.00 % Age at Transfer = 0.75 days

Slump = 50.0 mm Age at Erection = 15 days

Aggregate Mix = 0.40 (fine to total aggregate ratio) Age at Cast-in-Place Pour = 25 days

Aggregate Size = 20.0 mm Age Cast-in-Place is Composite = 35 days

Basic Shrinkage Strain = 780.000E-6 Age Construction is Complete = 143 days

Curing Method = Moist

Relative Humidity in Service = 70 %

Ambient Temperature in Service = 20 deg C

______________________________________________________________________________________________________________

PRECAST BEAM LAYOUT

________________________________________________________________________________________________________________

| Segment/Length | Section Identification | Offset |

|No| From | To | Length | Folder | Section | Section | Z | Y |

| | m | m | m | Name | Name | Type | mm | mm |

________________________________________________________________________________________________________________

| 1| 0.000| 10.660| 10.660| Current Problem | HCUPC1200x320 | Unspecified | 0.0| 0.0|

________________________________________________________________________________________________________________

Span Length at Transfer = 10.260 m, Centre of Supports, Left @ 0.200 m, Right @ 10.460 m

Span Length in Service = 10.510 m, Centre of Supports, Left @ 0.075 m, Right @ 10.585 m

Total Beam Length = 10.660 m, Bearing Length, Left = 150.0 mm, Right = 150.0 mm

______________________________________________________________________________________________________________

CAST-IN-PLACE POUR LAYOUT

______________________________________________________________________________________________

| Segment/Length | Slab/Topping Parameters | Haunch Paramaters |Vertical|

|No| From | To | Length | Thick. | Width | Offset | Thick. | Width | Offset | Offset |

| | m | m | m | mm | mm | mm | mm | mm | mm | mm |

______________________________________________________________________________________________

| 1| 0.000| 10.660| 10.660| 60.0| 1200.0| 0.0| 0.0| 0.0| 0.0| 0.0|

______________________________________________________________________________________________

Beam is UNSHORED during the cast-in-place pour and superimposed dead load.

______________________________________________________________________________________________________________

GROSS PRECAST SECTION PROPERTIES (NON-COMPOSITE)

(based on Ec of the precast beam - transformed area of rebar and strand NOT included)

_______________________________________________________________________________________________________

|Seg.| Section Properties | Section| Section| Shear |Volume /| Section Moduli |

| No.| A | I | yb | Height | Width | Width | Surface| Sb | St |

| | mm^2 | mm^4 | mm | mm | mm | mm | mm | mm^3 | mm^3 |

_______________________________________________________________________________________________________

| 1| 194167 | 2.522E+9 | 161.0| 320.0| 1200.0| 284.0| 64.00| -15.665E+6 | 15.862E+6 |

_______________________________________________________________________________________________________

______________________________________________________________________________________________________________

GROSS COMPOSITE SECTION PROPERTIES

(based on Ec of the precast beam - transformed area of rebar and strand NOT included)

______________________________________________________________________________________________________

|Seg.| Section Properties | Section| Section Moduli |

| No.| Ac | Ic | yb | Height | Sb | St | Sbc | Stc |

| | mm^2 | mm^4 | mm | mm | mm^3 | mm^3 | mm^3 | mm^3 |

______________________________________________________________________________________________________

| 1| 252954 | 4.152E+9 | 204.9| 380.0| -20.259E+6 | 36.077E+6 | 36.077E+6 | 23.713E+6 |

Page 11 of 58

Page 12: 2015.08.31 - 153041-CN-01 Rev0

Summary Report

Concise Beam, Version 4.58f, Copyright 2002-2012 Black Mint Software, Inc.

Licensed to: 4113040214, United Precast Concrete LLC - OK

Project:

Problem:

2File: C1 GF HCS320 x 10.66m with 10-12.5strands.con

Engineer: Engineering Dept

Mon Aug 31 11:37:04 2015�

Company: United Precast Concret

______________________________________________________________________________________________________

Note: Sb & St = bottom and top of the precast beam, Sbc & Stc = bottom and top of the cast-in-place pour.

______________________________________________________________________________________________________________________

UNCRACKED SECTION PROPERTIES SUMMARY

_______________________________________________________________________________________________________________________

| | A: Net Precast Section | B: Transformed Precast Section | C: Transformed Precast Section |D: Transfo

| | at Transfer (based on Eci) | at Transfer (based on Eci) | in Service (based on Ec) | in Ser

| | (include rebar, deduct strand) | (include rebar and strand) | (include rebar and strand) | (includ

| x | A | I | yb | A | I | yb | A | I | yb | Ac

| m | mm^2 | mm^4 | mm | mm^2 | mm^4 | mm | mm^2 | mm^4 | mm | mm^2

_______________________________________________________________________________________________________________________

| 0.000| 193232 | 2.507E+9 | 161.6| 194172 | 2.522E+9 | 161.0| 194171 | 2.522E+9 | 161.0| 252958

| 0.075| 193232 | 2.507E+9 | 161.6| 194918 | 2.534E+9 | 160.5| 194746 | 2.531E+9 | 160.6| 253532

| 1.126| 193232 | 2.507E+9 | 161.6| 199342 | 2.602E+9 | 157.7| 198158 | 2.584E+9 | 158.5| 256944

| 2.177| 193232 | 2.507E+9 | 161.6| 199342 | 2.602E+9 | 157.7| 198158 | 2.584E+9 | 158.5| 256944

| 3.228| 193232 | 2.507E+9 | 161.6| 199342 | 2.602E+9 | 157.7| 198158 | 2.584E+9 | 158.5| 256944

| 4.279| 193232 | 2.507E+9 | 161.6| 199342 | 2.602E+9 | 157.7| 198158 | 2.584E+9 | 158.5| 256944

| 5.330| 193232 | 2.507E+9 | 161.6| 199342 | 2.602E+9 | 157.7| 198158 | 2.584E+9 | 158.5| 256944

| 6.486| 193232 | 2.507E+9 | 161.6| 199342 | 2.602E+9 | 157.7| 198158 | 2.584E+9 | 158.5| 256944

| 7.537| 193232 | 2.507E+9 | 161.6| 199342 | 2.602E+9 | 157.7| 198158 | 2.584E+9 | 158.5| 256944

| 8.588| 193232 | 2.507E+9 | 161.6| 199342 | 2.602E+9 | 157.7| 198158 | 2.584E+9 | 158.5| 256944

| 9.639| 193232 | 2.507E+9 | 161.6| 199342 | 2.602E+9 | 157.7| 198158 | 2.584E+9 | 158.5| 256944

| 10.585| 193232 | 2.507E+9 | 161.6| 194918 | 2.534E+9 | 160.5| 194746 | 2.531E+9 | 160.6| 253532

| 10.660| 193232 | 2.507E+9 | 161.6| 194172 | 2.522E+9 | 161.0| 194171 | 2.522E+9 | 161.0| 252958

_______________________________________________________________________________________________________________________

These section properties can used to calculate uncracked concrete stresses using the following guidelines.

- A: Net Precast Section at Transfer properties are used with the initial prestress after transfer (after elastic shor

- B: Transformed Precast Section at Transfer properties are used with the precast beam self-weight.

- C: Transformed Precast Section in Service properties are used with external loads applied to the non-composite preca

- D: Transformed Composite Section in Service properties are used with external loads applied to the composite precast

______________________________________________________________________________________________________________

PRESTRESSING STEEL TENDONS

__________________________________________________________________________________________________________

| | | | | | Offsets |End Offset & Type| Tendon | Jacking Force |

|ID|Qty| Grade |Type| Strand Size | x | y |Left **|Right **| Area | Pj | %fpu|

| | | MPa | * | | m | mm | m | m | mm^2 | kN | |

__________________________________________________________________________________________________________

| 1| 10| 1770| LRS| D12.5 | 0.000| 35.0| 0.000 B| 0.000 B| 935.00 | 1001.2 | 0.60|

| | | | | | 10.660| 35.0| | | | | |

__________________________________________________________________________________________________________

note: * Type = LRS - Low-Relaxation Strand, SRS - Stress-Relieved Strand, PB - Plain Bar, DB - Deformed Bar

** End Types = B - Fully Bonded, D - Debonded, C - Cut, A - Anchored (fully developed)

Calculated Losses: Initial = 4.8%, Final = 12.3%

Maximum Total Prestress Forces: Pj(jacking) = 1001.2 kN,

Pi(transfer) = 953.2 kN,

Pe(effective) = 878.5 kN @ x = 5.330 m,

See the "Development Length" text report for details of the strand transfer and development lengths

______________________________________________________________________________________________________________

PRECAST BEAM AND CAST-IN-PLACE POUR SELF-WEIGHT

____________________________________________________

| Segment/Length | Linear Weight |

| | From | To | Beam | Cast-in-Place |

|No.| m | m | kN/m | kN/m |

____________________________________________________

| 1| 0.000| 10.660| 4.7600 | 1.7651 |

____________________________________________________

______________________________________________________________________________________________________________

EXTERNALLY APPLIED LOADS

________________________________________________________________________________________________________________

| Load Case |Type| Label | Description | Distribution |

________________________________________________________________________________________________________________

|SDL AT | D |SDL (6kpa*1.2m) |Vertical: 7.2 kN/m full length |No Load Distribution|

|Live Load | L |LL (3.0kpa * 1.2m) |Vertical: 3.6 kN/m full length |No Load Distribution|

________________________________________________________________________________________________________________

Page 12 of 58

Page 13: 2015.08.31 - 153041-CN-01 Rev0

Summary Report

Concise Beam, Version 4.58f, Copyright 2002-2012 Black Mint Software, Inc.

Licensed to: 4113040214, United Precast Concrete LLC - OK

Project:

Problem:

3File: C1 GF HCS320 x 10.66m with 10-12.5strands.con

Engineer: Engineering Dept

Mon Aug 31 11:37:04 2015�

Company: United Precast Concret

Load Combinations

Factored Combination 1 = 1.40D + 1.40F

Factored Combination 2 = 1.20D + 1.60L + 0.50SRLr + 1.20F

Factored Combination 3 = 1.20D + 1.00L + 1.60SRLr

Factored Combination 4 = 1.20D + 1.60SRLr + 0.80W

Factored Combination 5 = 1.20D + 1.00L + 0.50SRLr + 1.60W

Factored Combination 6 = 1.20D + 1.00L + 0.50SRLr + 1.60W

Factored Combination 7 = 0.90D + 1.60W

Factored Combination 8 = 0.90D + 1.00E

______________________________________________________________________________________________________________

ANALYSIS RESULTS SUMMARY - IN SERVICE

__________________________________________________________________________________________

| | Total Unfactored Moments| Total Factored Effects |

| x | Total | Sustained | Shear | | Moment | | Torsion | |

| m | kNm | kNm | kN | [*]| kNm | [*]| kNm | [*]|

__________________________________________________________________________________________

| 0.000| 0.0 | 0.0 | 0.0 |[ 1]| 0.0 |[ 1]| 0.0 |[ 1]|

| 0.075| 0.0 | 0.0 | -1.7 |[ 2]| 0.0 |[ 2]| 0.0 |[ 1]|

| 0.075| 0.0 | 0.0 | 116.8 |[ 2]| 0.0 |[ 2]| 0.0 |[ 1]|

| 1.126| 86.1 | 68.2 | 93.5 |[ 2]| 110.4 |[ 2]| 0.0 |[ 1]|

| 2.177| 153.0 | 121.2 | 70.1 |[ 2]| 196.4 |[ 2]| 0.0 |[ 1]|

| 3.228| 200.9 | 159.1 | 46.7 |[ 2]| 257.8 |[ 2]| 0.0 |[ 1]|

| 4.279| 229.6 | 181.9 | 23.4 |[ 2]| 294.6 |[ 2]| 0.0 |[ 1]|

| 5.330| 239.2 | 189.5 | 0.0 |[ 1]| 306.9 |[ 2]| 0.0 |[ 1]|

| 6.486| 227.6 | 180.3 | -25.7 |[ 2]| 292.0 |[ 2]| 0.0 |[ 1]|

| 7.537| 197.0 | 156.0 | -49.1 |[ 2]| 252.7 |[ 2]| 0.0 |[ 1]|

| 8.588| 147.2 | 116.6 | -72.4 |[ 2]| 188.9 |[ 2]| 0.0 |[ 1]|

| 9.639| 78.3 | 62.0 | -95.8 |[ 2]| 100.5 |[ 2]| 0.0 |[ 1]|

| 10.585| 0.0 | 0.0 | -116.8 |[ 2]| 0.0 |[ 2]| 0.0 |[ 1]|

| 10.585| 0.0 | 0.0 | 1.7 |[ 2]| 0.0 |[ 2]| 0.0 |[ 1]|

| 10.660| 0.0 | 0.0 | 0.0 |[ 1]| 0.0 |[ 1]| 0.0 |[ 1]|

__________________________________________________________________________________________

* Critical ULS Load Combination

______________________________________________________________________________________________________________

SUPPORT REACTIONS (kN)

(+ve = upwards)

Unfactored Support Reactions

___________________________________________________________________________________________

| | In Service | During Lifting | During Transport |

| Load Case | Left | Right | Left | Right | Left | Right |

___________________________________________________________________________________________

|Beam Weight| 25.4 | 25.4 | 25.4 | 25.4 | 25.4 | 25.4 |

|SDL BT | 0.0 | 0.0 | | | | |

|CIP Weight | 9.4 | 9.4 | | | | |

|SDL AT | 38.4 | 38.4 | | | | |

|LL Sustain | 0.0 | 0.0 | | | | |

|Live Load | 19.2 | 19.2 | | | | |

|Roof Load | 0.0 | 0.0 | | | | |

|Fluid Wgt | 0.0 | 0.0 | | | | |

|Wind | 0.0 | 0.0 | | | | |

|Seismic | 0.0 | 0.0 | | | | |

___________________________________________________________________________________________

|SLS Max DL | 73.2 | 73.2 | | | | |

|SLS Min DL | 73.2 | 73.2 | | | | |

|SLS Max Sus| 73.2 | 73.2 | | | | |

|SLS Maximum| 92.3 | 92.3 | 25.4 | 25.4 | 25.4 | 25.4 |

___________________________________________________________________________________________

ULS Support Reactions

_________________________________________________

|Load Combo.| Left [*]| Right [*]|

_________________________________________________

|ULS Maximum| 118.5 [ 2]| 118.5 [ 2]|

|ULS Minimum| 0.0 [ 9]| 0.0 [ 9]|

_________________________________________________

* Critical Factored Load Combination

______________________________________________________________________________________________________________

CONCRETE STRESS RESULTS (UNCRACKED ANALYSIS)

(+ve = compression, -ve = tension)

Page 13 of 58

Page 14: 2015.08.31 - 153041-CN-01 Rev0

Summary Report

Concise Beam, Version 4.58f, Copyright 2002-2012 Black Mint Software, Inc.

Licensed to: 4113040214, United Precast Concrete LLC - OK

Project:

Problem:

4File: C1 GF HCS320 x 10.66m with 10-12.5strands.con

Engineer: Engineering Dept

Mon Aug 31 11:37:04 2015�

Company: United Precast Concret

_________________________________________________________________

| | x | Stress | Limit | Overstress|

| Location | m | MPa | MPa | Notice |

_________________________________________________________________

|STRESSES AT TRANSFER |

|Critical Compression |

| Top of Beam | 5.330| 1.21 | 21.84 | 0%|

| Bottom of Beam | 10.060| 11.94 | 21.84 | 0%|

| | Longitudinal Tensile Rebar Needed (mm^2)

|Critical Tension | Required Provided Additional

| Top of Beam | 10.165| -2.12 | -3.48 | 0%|

| Bottom of Beam | 0.000| 0.01 | -3.48 | 0%|

_________________________________________________________________

|STRESSES DURING INITIAL LIFTING (including dynamic allowance) |

|Critical Compression |

| Top of Beam | 5.330| 1.05 | 21.84 | 0%|

| Bottom of Beam | 10.060| 12.10 | 21.84 | 0%|

| | Longitudinal Tensile Rebar Needed (mm^2)

|Critical Tension | Required Provided Additional

| Top of Beam | 10.165| -2.28 | -3.48 | 0%|

| Bottom of Beam | 0.000| 0.01 | -3.48 | 0%|

_________________________________________________________________

|STRESSES DURING ERECTION LIFTING (including dynamic allowance) |

|Critical Compression |

| Top of Beam | 5.330| 1.16 | 33.60 | 0%|

| Bottom of Beam | 10.060| 11.17 | 33.60 | 0%|

| | Longitudinal Tensile Rebar Needed (mm^2)

|Critical Tension | Required Provided Additional

| Top of Beam | 10.165| -2.09 | -4.31 | 0%|

| Bottom of Beam | 0.000| 0.01 | -4.31 | 0%|

_________________________________________________________________

|STRESSES IN SERVICE |

|Critical Compression |

| Top of Beam | 5.330| 7.26 | 28.80 | 0%|

| Bottom of Beam | 10.165| 8.31 | 28.80 | 0%|

| Top of CIP Pour| 5.330| 5.07 | 19.20 | 0%|

|Critical Tension |

| Top of Beam | 10.165| -0.67 | -6.90 | 0%| Class U member - not cracked

| Bottom of Beam | 5.330| -0.83 | -6.90 | 0%| Class U member - not cracked

| Top of CIP Pour| 0.075| 0.00 | -3.52 | 0%|

_________________________________________________________________

|STRESSES IN SERVICE (SUSTAINED LOADS ONLY) |

|Critical Compression |

| Top of Beam | 5.330| 5.88 | 21.60 | 0%|

| Bottom of Beam | 10.165| 8.67 | 21.60 | 0%|

_________________________________________________________________

At Transfer During Lifting In Service

Modulus of Rupture, fr = -3.48 MPa -3.48 MPa -4.31 MPa

Strength Required for Transfer, f'c = 17.1 MPa (f'c specified = 31 MPa)

Strength Required for Initial Lifting, f'c = 17.3 MPa (f'c assumed = 31 MPa)

______________________________________________________________________________________________________________

DISTRIBUTION OF FLEXURAL STEEL & CRACKING

(+ve = tension, -ve = compression)

Beam not cracked, cracking is controlled, or crack depth is less than concrete cover.

______________________________________________________________________________________________________________________

DEFLECTIONS AT ALL STAGES

(-ve = deflection down, +ve = camber up)

Design Code Used: ACI 318-08

THESE DEFLECTIONS ARE BASED ON MIDSPAN PROPERTIES THROUGHOUT THE LENGTH OF THE BEAM.

_____________________________________________________________________________________________________________

| | Net Deflection | Change in Deflection |

|Location| Net @ | Net @ | Net @ | Net DL | Net Total| DL growth| LL | Span/Deflection |

| x | Transfer | Erection |Completion| @ Final | @ Final | + LL | alone | DL growth| LL |

| m | mm | mm | mm | mm | mm | mm | mm | + LL | alone |

| Column | A | B | C | D | E | E - C | E - D | | |

_____________________________________________________________________________________________________________

| 0.000| -0.8 | -0.7 | -0.3 | -0.2 | 0.0 | 0.3 | 0.0 | 554 | 1813 |

| 0.075| -0.5 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0 | 0 |

| 1.126| 3.5 | 8.6 | 3.8 | 1.2 | 0.0 | -3.8 | -1.1 | 2758 | 9245 |

Page 14 of 58

Page 15: 2015.08.31 - 153041-CN-01 Rev0

Summary Report

Concise Beam, Version 4.58f, Copyright 2002-2012 Black Mint Software, Inc.

Licensed to: 4113040214, United Precast Concrete LLC - OK

Project:

Problem:

5File: C1 GF HCS320 x 10.66m with 10-12.5strands.con

Engineer: Engineering Dept

Mon Aug 31 11:37:04 2015�

Company: United Precast Concret

| 2.177| 6.6 | 14.8 | 5.6 | 0.3 | -1.8 | -7.4 | -2.2 | 1424 | 4886 |

| 3.228| 8.8 | 18.8 | 6.1 | -1.2 | -4.2 | -10.3 | -2.9 | 1024 | 3569 |

| 4.279| 10.2 | 21.1 | 6.1 | -2.6 | -6.0 | -12.1 | -3.4 | 867 | 3047 |

| 5.330| 10.6 | 21.9 | 6.0 | -3.1 | -6.7 | -12.8 | -3.6 | 823 | 2902 |

| 6.486| 10.1 | 21.0 | 6.1 | -2.5 | -5.9 | -12.0 | -3.4 | 876 | 3079 |

| 7.537| 8.7 | 18.5 | 6.0 | -1.1 | -4.0 | -10.0 | -2.9 | 1049 | 3652 |

| 8.588| 6.3 | 14.2 | 5.5 | 0.5 | -1.6 | -7.0 | -2.1 | 1491 | 5107 |

| 9.639| 3.1 | 7.9 | 3.6 | 1.2 | 0.1 | -3.4 | -1.0 | 3062 | 10235 |

| 10.585| -0.5 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0 | 0 |

| 10.660| -0.8 | -0.7 | -0.3 | -0.2 | 0.0 | 0.3 | 0.0 | 554 | 1813 |

_____________________________________________________________________________________________________________

Col. A: Net deflection at transfer includes prestressing and beam weight on temporary supports.

Col. B: Net deflection at erection includes prestressing and all dead loads applied before the cast-in-place

pour plus long-time deflection growth of the prestressing and beam weight up to erection

Col. C: Net deflection at completion of construction includes prestressing and all dead loads

plus long-time deflection growth of the prestressing and dead load up to completion

Col. D: Net DL deflection at final includes prestressing, all dead loads, and sustained live loads,.

plus long-time deflection growth.

Col. E: Net total deflection at final includes prestressing, all dead loads, and all live loads,

plus long-time deflection growth.

Live load includes roof load, and fluid weight. Wind and earthquake are not included.

Deflection growth is estimated by use of the PCI suggested multipliers - see the Deflection Multipliers report.

Span/Deflection Limits: DL growth + LL = L / 480 for non-structural attachments

L / 240 otherwise

LL alone = L / 360 for floors

L / 180 for roofs

______________________________________________________________________________________________________________________

FLEXURAL DESIGN CHECK

Design Code Used: ACI 318-08

β used: for precast beam = 0.702 , for cast-in-place pour = 0.818

_________________________________________________________________________________________________________

| | Factored | Design | Minimum * | Depth in | Net Tensile| Flexure | Ø | Notes & |

| | Moment | Strength | Required | Compression| Strain | Class | | Warnings |

| x | Mu | ØMn | Strength | c | | | | |

| m | kNm | kNm | kNm | mm | | | | |

_________________________________________________________________________________________________________

| 0.000| 0.0 | 0.2 | 0.0 | 0.9 | 1.0865|Tension | 0.75| |

| 0.075| 0.0 | -2.9 | -0.1 | 3.5 | 0.0274|Tension | 0.75| |

| 1.126| 110.4 | 293.8 | 220.9 | 41.4 | 0.0220|Tension | 0.81| |

| 2.177| 196.4 | 471.8 | 374.2 | 61.4 | 0.0139|Tension | 0.90| |

| 3.228| 257.8 | 471.9 | 374.7 | 61.4 | 0.0139|Tension | 0.90| |

| 4.279| 294.6 | 471.9 | 375.0 | 61.4 | 0.0139|Tension | 0.90| |

| 5.330| 306.9 | 471.9 | 375.1 | 61.4 | 0.0139|Tension | 0.90| |

| 6.486| 292.0 | 471.9 | 375.0 | 61.4 | 0.0139|Tension | 0.90| |

| 7.537| 252.7 | 471.9 | 374.7 | 61.4 | 0.0139|Tension | 0.90| |

| 8.588| 188.9 | 457.8 | 374.1 | 59.9 | 0.0143|Tension | 0.89| |

| 9.639| 100.5 | 276.9 | 201.0 | 39.6 | 0.0231|Tension | 0.80| |

| 10.585| 0.0 | -2.9 | -0.1 | 3.5 | 0.0274|Tension | 0.75| |

| 10.660| 0.0 | 0.2 | 0.0 | 0.9 | 1.0865|Tension | 0.75| |

_________________________________________________________________________________________________________

Points of Maximum and Minimum Factored Moment

| 5.330| 306.9 | 471.9 | 375.1 | 61.4 | 0.0139|Tension | 0.90| |

| 10.585| 0.0 | -2.9 | -0.1 | 3.5 | 0.0274|Tension | 0.75| |

Points of Maximum Ratio of Factored Moment to Design Strength

| 5.330| 306.9 | 471.9 | 375.1 | 61.4 | 0.0139|Tension | 0.90| |

| 10.585| 0.0 | -2.9 | -0.1 | 3.5 | 0.0274|Tension | 0.75| |

_________________________________________________________________________________________________________

* Minimum Strength Only Checked at Points of Maximum and Minimum Moment.

______________________________________________________________________________________________________________________

SHEAR/TORSION DESIGN CHECK

Design Code Used: ACI 318-08

Shear and Torsion Design Forces

_______________________________________________________________________________________________________________________

| | Design | Prestress| Strength | Strength Provided | Min. Strength Req'd | Threshold| Design | Torsion

| | Shear | Component| Concrete | Stirrups | Total | Stirrups | Total | Torsion | Torsion | Provided

| x | Vu | Vp | ØVc | ØVs | ØVn | ØVs | ØVn | ØTcr/4 | Tu | ØTn

| m | kN | kN | kN | kN | kN | kN | kN | kNm | kNm | kNm

_______________________________________________________________________________________________________________________

Page 15 of 58

Page 16: 2015.08.31 - 153041-CN-01 Rev0

Summary Report

Concise Beam, Version 4.58f, Copyright 2002-2012 Black Mint Software, Inc.

Licensed to: 4113040214, United Precast Concrete LLC - OK

Project:

Problem:

6File: C1 GF HCS320 x 10.66m with 10-12.5strands.con

Engineer: Engineering Dept

Mon Aug 31 11:37:04 2015�

Company: United Precast Concret

| 0.000| 0.0 | 0.0 | -84.5 | 0.0 | -84.5 | 0.0 | -84.5 | 8.7 | 0.0 | 0.0

| 0.075| 0.0 | 0.0 | 211.4 | 0.0 | 211.4 | 0.0 | 211.4 | 9.4 | 0.0 | 0.0

| 0.075| 110.9 | 0.0 | 211.4 | 0.0 | 211.4 | 1.3 | 212.6 | 9.4 | 0.0 | 0.0

| 1.126| 93.5 | 0.0 | 211.4 | 0.0 | 211.4 | 0.0 | 211.4 | 13.3 | 0.0 | 0.0

| 2.177| 70.1 | 0.0 | 104.0 | 0.0 | 104.0 | 17.1 | 121.1 | 13.9 | 0.0 | 0.0

| 3.228| 46.7 | 0.0 | 84.5 | 0.0 | 84.5 | 17.1 | 101.6 | 14.4 | 0.0 | 0.0

| 4.279| 23.4 | 0.0 | 84.5 | 0.0 | 84.5 | 0.0 | 84.5 | 14.6 | 0.0 | 0.0

| 5.330| 0.0 | 0.0 | 84.5 | 0.0 | 84.5 | 0.0 | 84.5 | 14.7 | 0.0 | 0.0

| 6.486| -25.7 | 0.0 | -84.5 | 0.0 | -84.5 | 0.0 | -84.5 | 14.6 | 0.0 | 0.0

| 7.537| -49.1 | 0.0 | -84.5 | 0.0 | -84.5 | -17.1 | -101.6 | 14.3 | 0.0 | 0.0

| 8.588| -72.4 | 0.0 | -109.9 | 0.0 | -109.9 | -17.1 | -127.0 | 13.9 | 0.0 | 0.0

| 9.639| -95.8 | 0.0 | -223.3 | 0.0 | -223.3 | 0.0 | -223.3 | 13.2 | 0.0 | 0.0

| 10.585| -110.9 | 0.0 | -211.4 | 0.0 | -211.4 | -1.3 | -212.6 | 9.4 | 0.0 | 0.0

| 10.585| 0.0 | 0.0 | 211.4 | 0.0 | 211.4 | 0.0 | 211.4 | 9.4 | 0.0 | 0.0

| 10.660| 0.0 | 0.0 | 84.5 | 0.0 | 84.5 | 0.0 | 84.5 | 8.7 | 0.0 | 0.0

_______________________________________________________________________________________________________________________

Notes & Warnings

5 - Note: Design shear force, and/or torsion, and design limited to critical section near support.

7 - Note: The calculation of the shear strength of the concrete used the simplified method.

Transverse Steel (Stirrup) Design for Shear

___________________________________________________________________________________________________________

| | Required Shear Steel | Stirrup | Stirrup Spacing | Additional Long. Steel| Notes & |

| | Total | Torsion* | Provided | Provided | Required | for Torsion, Al | Warnings |

| x | (Av+2At)/s | At/s | Av+2At | s | s | Bottom | Top | |

| m | mm^2/mm | mm^2/mm | mm^2 | mm | mm | mm^2 | mm^2 | |

___________________________________________________________________________________________________________

| 0.000| 0.000 | 0.000 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 5 |

| 0.075| 0.000 | 0.000 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 5 |

| 0.075| 0.012 | 0.000 | 0.0 | 0.0 | 285.0 | 0.0 | 0.0 | 2 5 |

| 1.126| 0.000 | 0.000 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | |

| 2.177| 0.165 | 0.000 | 0.0 | 0.0 | 285.0 | 0.0 | 0.0 | 2 |

| 3.228| 0.165 | 0.000 | 0.0 | 0.0 | 285.0 | 0.0 | 0.0 | 2 |

| 4.279| 0.000 | 0.000 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | |

| 5.330| 0.000 | 0.000 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | |

| 6.486| 0.000 | 0.000 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | |

| 7.537| 0.165 | 0.000 | 0.0 | 0.0 | 285.0 | 0.0 | 0.0 | 2 |

| 8.588| 0.165 | 0.000 | 0.0 | 0.0 | 285.0 | 0.0 | 0.0 | 2 |

| 9.639| 0.000 | 0.000 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | |

| 10.585| 0.012 | 0.000 | 0.0 | 0.0 | 285.0 | 0.0 | 0.0 | 2 5 |

| 10.585| 0.000 | 0.000 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 5 |

| 10.660| 0.000 | 0.000 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 5 |

___________________________________________________________________________________________________________

Notes & Warnings

2 - Note: Amount of shear steel required represents minimum code requirements.

5 - Note: Design shear force limited to critical section near support.

Note: Additional long. steel in compression side of section has been reduced.

* Portion of the total stirrup area required to resist torsional shear flow (one leg around periphery).

Page 16 of 58

Page 17: 2015.08.31 - 153041-CN-01 Rev0

C2 GF HCS320 x 8.95m with 8-12.5strands.con

Concise Beam, Version 4.58f, Copyright 2002-2012 Black Mint Software, Inc.

Licensed to: 4113040214, United Precast Concrete LLC - OK

Project:

Problem:

Engineer: Engineering Dept

File: C2 GF HCS320 x 8.95m with 8-12.5strands.con Mon Aug 31 11:40:07 2015�

Company: United Precast Concret

Page 17 of 58

Page 18: 2015.08.31 - 153041-CN-01 Rev0

Shear Design Graph

Concise Beam, Version 4.58f, Copyright 2002-2012 Black Mint Software, Inc.

Licensed to: 4113040214, United Precast Concrete LLC - OK

Project:

Problem:

Engineer: Engineering Dept

File: C2 GF HCS320 x 8.95m with 8-12.5strands.con Mon Aug 31 11:40:34 2015�

Company: United Precast Concret

Distance From Left End of Beam - m

Sh

ea

r -

kN

Shear DesignShear Design

0.000 0.895 1.790 2.685 3.580 4.475 5.370 6.265 7.160 8.055 8.950

300

240

180

120

60

0

-60

-120

-180

-240

-300

Factored Design Shear, Vu

Total Strength Provided, ØVn

Minimum Strength Required

Concrete Strength Provided, ØVc

Critical Section for Shear Loading

Page 18 of 58

Page 19: 2015.08.31 - 153041-CN-01 Rev0

Flexural Design Graph

Concise Beam, Version 4.58f, Copyright 2002-2012 Black Mint Software, Inc.

Licensed to: 4113040214, United Precast Concrete LLC - OK

Project:

Problem:

Engineer: Engineering Dept

File: C2 GF HCS320 x 8.95m with 8-12.5strands.con Mon Aug 31 11:40:24 2015�

Company: United Precast Concret

Distance From Left End of Beam - m

Mo

me

nt

- k

Nm

Flexural DesignFlexural Design

0.000 0.895 1.790 2.685 3.580 4.475 5.370 6.265 7.160 8.055 8.950

480

420

360

300

240

180

120

60

0

-60

-120

Factored Moment, Mu: +ve Bending

Design Strength, ØMn: +ve Bending

Factored Moment, Mu: -ve Bending

Design Strength, ØMn: -ve Bending

Page 19 of 58

Page 20: 2015.08.31 - 153041-CN-01 Rev0

Deflection Estimate on Final Supports Graph

Concise Beam, Version 4.58f, Copyright 2002-2012 Black Mint Software, Inc.

Licensed to: 4113040214, United Precast Concrete LLC - OK

Project:

Problem:

Engineer: Engineering Dept

File: C2 GF HCS320 x 8.95m with 8-12.5strands.con Mon Aug 31 11:41:20 2015�

Company: United Precast Concret

Distance From Left End of Beam - m

De

fle

cti

on

-

mm

Deflection Estimate on Final SupportsDeflection Estimate on Final Supports

0.000 0.895 1.790 2.685 3.580 4.475 5.370 6.265 7.160 8.055 8.950

16.00

14.00

12.00

10.00

8.00

6.00

4.00

2.00

0.00

-2.00

-4.00

Deflection @ Erection

Deflection On Completion

Final DL Deflection

Final DL + LL Deflection

Page 20 of 58

Page 21: 2015.08.31 - 153041-CN-01 Rev0

Summary Report

Concise Beam, Version 4.58f, Copyright 2002-2012 Black Mint Software, Inc.

Licensed to: 4113040214, United Precast Concrete LLC - OK

Project:

Problem:

1File: C2 GF HCS320 x 8.95m with 8-12.5strands.con

Engineer: Engineering Dept

Mon Aug 31 11:41:39 2015�

Company: United Precast Concret

SUMMARY REPORT

Design Code Used: ACI 318-08

______________________________________________________________________________________________________________

CONCRETE MATERIAL PROPERTIES

Precast Beam Cast-in-Place Pour

___________________________ ___________________________

Concrete Density Wt = 2500 kg/m^3 Wt = 2500 kg/m^3

Compressive Strength f'c = 48.0 MPa f'c = 32.0 MPa

Modulus of Elasticity Ec = 37015 MPa Ec = 30222 MPa

Strength at Transfer f'c = 31.2 MPa

Modulus of Elast. at Transfer Ec = 29842 MPa

Strength at Lifting f'c = 31.2 MPa

Modulus of Elast. at Lifting Ec = 29842 MPa

Cement Content = 410 kg/m^3 Construction Schedule

Air Content = 5.00 % Age at Transfer = 0.75 days

Slump = 50.0 mm Age at Erection = 15 days

Aggregate Mix = 0.40 (fine to total aggregate ratio) Age at Cast-in-Place Pour = 25 days

Aggregate Size = 20.0 mm Age Cast-in-Place is Composite = 35 days

Basic Shrinkage Strain = 780.000E-6 Age Construction is Complete = 143 days

Curing Method = Moist

Relative Humidity in Service = 70 %

Ambient Temperature in Service = 20 deg C

______________________________________________________________________________________________________________

PRECAST BEAM LAYOUT

________________________________________________________________________________________________________________

| Segment/Length | Section Identification | Offset |

|No| From | To | Length | Folder | Section | Section | Z | Y |

| | m | m | m | Name | Name | Type | mm | mm |

________________________________________________________________________________________________________________

| 1| 0.000| 8.950| 8.950| Current Problem | HCUPC1200x320 | Unspecified | 0.0| 0.0|

________________________________________________________________________________________________________________

Span Length at Transfer = 8.550 m, Centre of Supports, Left @ 0.200 m, Right @ 8.750 m

Span Length in Service = 8.850 m, Centre of Supports, Left @ 0.050 m, Right @ 8.900 m

Total Beam Length = 8.950 m, Bearing Length, Left = 100.0 mm, Right = 100.0 mm

______________________________________________________________________________________________________________

CAST-IN-PLACE POUR LAYOUT

______________________________________________________________________________________________

| Segment/Length | Slab/Topping Parameters | Haunch Paramaters |Vertical|

|No| From | To | Length | Thick. | Width | Offset | Thick. | Width | Offset | Offset |

| | m | m | m | mm | mm | mm | mm | mm | mm | mm |

______________________________________________________________________________________________

| 1| 0.000| 8.950| 8.950| 60.0| 1200.0| 0.0| 0.0| 0.0| 0.0| 0.0|

______________________________________________________________________________________________

Beam is UNSHORED during the cast-in-place pour and superimposed dead load.

______________________________________________________________________________________________________________

GROSS PRECAST SECTION PROPERTIES (NON-COMPOSITE)

(based on Ec of the precast beam - transformed area of rebar and strand NOT included)

_______________________________________________________________________________________________________

|Seg.| Section Properties | Section| Section| Shear |Volume /| Section Moduli |

| No.| A | I | yb | Height | Width | Width | Surface| Sb | St |

| | mm^2 | mm^4 | mm | mm | mm | mm | mm | mm^3 | mm^3 |

_______________________________________________________________________________________________________

| 1| 194167 | 2.522E+9 | 161.0| 320.0| 1200.0| 284.0| 64.00| -15.665E+6 | 15.862E+6 |

_______________________________________________________________________________________________________

______________________________________________________________________________________________________________

GROSS COMPOSITE SECTION PROPERTIES

(based on Ec of the precast beam - transformed area of rebar and strand NOT included)

______________________________________________________________________________________________________

|Seg.| Section Properties | Section| Section Moduli |

| No.| Ac | Ic | yb | Height | Sb | St | Sbc | Stc |

| | mm^2 | mm^4 | mm | mm | mm^3 | mm^3 | mm^3 | mm^3 |

______________________________________________________________________________________________________

| 1| 252954 | 4.152E+9 | 204.9| 380.0| -20.259E+6 | 36.077E+6 | 36.077E+6 | 23.713E+6 |

Page 21 of 58

Page 22: 2015.08.31 - 153041-CN-01 Rev0

Summary Report

Concise Beam, Version 4.58f, Copyright 2002-2012 Black Mint Software, Inc.

Licensed to: 4113040214, United Precast Concrete LLC - OK

Project:

Problem:

2File: C2 GF HCS320 x 8.95m with 8-12.5strands.con

Engineer: Engineering Dept

Mon Aug 31 11:41:39 2015�

Company: United Precast Concret

______________________________________________________________________________________________________

Note: Sb & St = bottom and top of the precast beam, Sbc & Stc = bottom and top of the cast-in-place pour.

______________________________________________________________________________________________________________________

UNCRACKED SECTION PROPERTIES SUMMARY

_______________________________________________________________________________________________________________________

| | A: Net Precast Section | B: Transformed Precast Section | C: Transformed Precast Section |D: Transfo

| | at Transfer (based on Eci) | at Transfer (based on Eci) | in Service (based on Ec) | in Ser

| | (include rebar, deduct strand) | (include rebar and strand) | (include rebar and strand) | (includ

| x | A | I | yb | A | I | yb | A | I | yb | Ac

| m | mm^2 | mm^4 | mm | mm^2 | mm^4 | mm | mm^2 | mm^4 | mm | mm^2

_______________________________________________________________________________________________________________________

| 0.000| 193419 | 2.510E+9 | 161.5| 194171 | 2.522E+9 | 161.0| 194170 | 2.522E+9 | 161.0| 252957

| 0.050| 193419 | 2.510E+9 | 161.5| 194567 | 2.528E+9 | 160.7| 194476 | 2.527E+9 | 160.8| 253262

| 0.935| 193419 | 2.510E+9 | 161.5| 198307 | 2.586E+9 | 158.4| 197360 | 2.572E+9 | 159.0| 256146

| 1.820| 193419 | 2.510E+9 | 161.5| 198307 | 2.586E+9 | 158.4| 197360 | 2.572E+9 | 159.0| 256146

| 2.705| 193419 | 2.510E+9 | 161.5| 198307 | 2.586E+9 | 158.4| 197360 | 2.572E+9 | 159.0| 256146

| 3.590| 193419 | 2.510E+9 | 161.5| 198307 | 2.586E+9 | 158.4| 197360 | 2.572E+9 | 159.0| 256146

| 4.475| 193419 | 2.510E+9 | 161.5| 198307 | 2.586E+9 | 158.4| 197360 | 2.572E+9 | 159.0| 256146

| 5.449| 193419 | 2.510E+9 | 161.5| 198307 | 2.586E+9 | 158.4| 197360 | 2.572E+9 | 159.0| 256146

| 6.333| 193419 | 2.510E+9 | 161.5| 198307 | 2.586E+9 | 158.4| 197360 | 2.572E+9 | 159.0| 256146

| 7.218| 193419 | 2.510E+9 | 161.5| 198307 | 2.586E+9 | 158.4| 197360 | 2.572E+9 | 159.0| 256146

| 8.104| 193419 | 2.510E+9 | 161.5| 198307 | 2.586E+9 | 158.4| 197360 | 2.572E+9 | 159.0| 256146

| 8.900| 193419 | 2.510E+9 | 161.5| 194567 | 2.528E+9 | 160.7| 194476 | 2.527E+9 | 160.8| 253262

| 8.950| 193419 | 2.510E+9 | 161.5| 194171 | 2.522E+9 | 161.0| 194170 | 2.522E+9 | 161.0| 252957

_______________________________________________________________________________________________________________________

These section properties can used to calculate uncracked concrete stresses using the following guidelines.

- A: Net Precast Section at Transfer properties are used with the initial prestress after transfer (after elastic shor

- B: Transformed Precast Section at Transfer properties are used with the precast beam self-weight.

- C: Transformed Precast Section in Service properties are used with external loads applied to the non-composite preca

- D: Transformed Composite Section in Service properties are used with external loads applied to the composite precast

______________________________________________________________________________________________________________

PRESTRESSING STEEL TENDONS

__________________________________________________________________________________________________________

| | | | | | Offsets |End Offset & Type| Tendon | Jacking Force |

|ID|Qty| Grade |Type| Strand Size | x | y |Left **|Right **| Area | Pj | %fpu|

| | | MPa | * | | m | mm | m | m | mm^2 | kN | |

__________________________________________________________________________________________________________

| 1| 8| 1770| LRS| D12.5 | 0.000| 35.0| 0.000 B| 0.000 B| 748.00 | 801.0 | 0.60|

| | | | | | 8.950| 35.0| | | | | |

__________________________________________________________________________________________________________

note: * Type = LRS - Low-Relaxation Strand, SRS - Stress-Relieved Strand, PB - Plain Bar, DB - Deformed Bar

** End Types = B - Fully Bonded, D - Debonded, C - Cut, A - Anchored (fully developed)

Calculated Losses: Initial = 4.1%, Final = 11.8%

Maximum Total Prestress Forces: Pj(jacking) = 801.0 kN,

Pi(transfer) = 768.3 kN,

Pe(effective) = 706.6 kN @ x = 4.475 m,

See the "Development Length" text report for details of the strand transfer and development lengths

______________________________________________________________________________________________________________

PRECAST BEAM AND CAST-IN-PLACE POUR SELF-WEIGHT

____________________________________________________

| Segment/Length | Linear Weight |

| | From | To | Beam | Cast-in-Place |

|No.| m | m | kN/m | kN/m |

____________________________________________________

| 1| 0.000| 8.950| 4.7600 | 1.7651 |

____________________________________________________

______________________________________________________________________________________________________________

EXTERNALLY APPLIED LOADS

________________________________________________________________________________________________________________

| Load Case |Type| Label | Description | Distribution |

________________________________________________________________________________________________________________

|SDL AT | D |SDL (6kpa*1.2m) |Vertical: 7.2 kN/m full length |No Load Distribution|

|Live Load | L |LL (3.0kpa * 1.2m) |Vertical: 3.6 kN/m full length |No Load Distribution|

________________________________________________________________________________________________________________

Page 22 of 58

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Summary Report

Concise Beam, Version 4.58f, Copyright 2002-2012 Black Mint Software, Inc.

Licensed to: 4113040214, United Precast Concrete LLC - OK

Project:

Problem:

3File: C2 GF HCS320 x 8.95m with 8-12.5strands.con

Engineer: Engineering Dept

Mon Aug 31 11:41:39 2015�

Company: United Precast Concret

Load Combinations

Factored Combination 1 = 1.40D + 1.40F

Factored Combination 2 = 1.20D + 1.60L + 0.50SRLr + 1.20F

Factored Combination 3 = 1.20D + 1.00L + 1.60SRLr

Factored Combination 4 = 1.20D + 1.60SRLr + 0.80W

Factored Combination 5 = 1.20D + 1.00L + 0.50SRLr + 1.60W

Factored Combination 6 = 1.20D + 1.00L + 0.50SRLr + 1.60W

Factored Combination 7 = 0.90D + 1.60W

Factored Combination 8 = 0.90D + 1.00E

______________________________________________________________________________________________________________

ANALYSIS RESULTS SUMMARY - IN SERVICE

__________________________________________________________________________________________

| | Total Unfactored Moments| Total Factored Effects |

| x | Total | Sustained | Shear | | Moment | | Torsion | |

| m | kNm | kNm | kN | [*]| kNm | [*]| kNm | [*]|

__________________________________________________________________________________________

| 0.000| 0.0 | 0.0 | 0.0 |[ 1]| 0.0 |[ 1]| 0.0 |[ 1]|

| 0.050| 0.0 | 0.0 | -1.1 |[ 2]| 0.0 |[ 2]| 0.0 |[ 1]|

| 0.050| 0.0 | 0.0 | 98.4 |[ 2]| 0.0 |[ 2]| 0.0 |[ 1]|

| 0.935| 61.0 | 48.4 | 78.7 |[ 2]| 78.3 |[ 2]| 0.0 |[ 1]|

| 1.820| 108.5 | 86.0 | 59.0 |[ 2]| 139.3 |[ 2]| 0.0 |[ 1]|

| 2.705| 142.5 | 112.9 | 39.3 |[ 2]| 182.8 |[ 2]| 0.0 |[ 1]|

| 3.590| 162.8 | 129.0 | 19.7 |[ 2]| 208.9 |[ 2]| 0.0 |[ 1]|

| 4.475| 169.6 | 134.4 | 0.0 |[ 1]| 217.6 |[ 2]| 0.0 |[ 1]|

| 5.449| 161.4 | 127.9 | -21.6 |[ 2]| 207.1 |[ 2]| 0.0 |[ 1]|

| 6.333| 139.7 | 110.7 | -41.3 |[ 2]| 179.2 |[ 2]| 0.0 |[ 1]|

| 7.218| 104.4 | 82.7 | -61.0 |[ 2]| 134.0 |[ 2]| 0.0 |[ 1]|

| 8.104| 55.5 | 44.0 | -80.7 |[ 2]| 71.3 |[ 2]| 0.0 |[ 1]|

| 8.900| 0.0 | 0.0 | -98.4 |[ 2]| 0.0 |[ 2]| 0.0 |[ 1]|

| 8.900| 0.0 | 0.0 | 1.1 |[ 2]| 0.0 |[ 2]| 0.0 |[ 1]|

| 8.950| 0.0 | 0.0 | 0.0 |[ 1]| 0.0 |[ 1]| 0.0 |[ 1]|

__________________________________________________________________________________________

* Critical ULS Load Combination

______________________________________________________________________________________________________________

SUPPORT REACTIONS (kN)

(+ve = upwards)

Unfactored Support Reactions

___________________________________________________________________________________________

| | In Service | During Lifting | During Transport |

| Load Case | Left | Right | Left | Right | Left | Right |

___________________________________________________________________________________________

|Beam Weight| 21.3 | 21.3 | 21.3 | 21.3 | 21.3 | 21.3 |

|SDL BT | 0.0 | 0.0 | | | | |

|CIP Weight | 7.9 | 7.9 | | | | |

|SDL AT | 32.2 | 32.2 | | | | |

|LL Sustain | 0.0 | 0.0 | | | | |

|Live Load | 16.1 | 16.1 | | | | |

|Roof Load | 0.0 | 0.0 | | | | |

|Fluid Wgt | 0.0 | 0.0 | | | | |

|Wind | 0.0 | 0.0 | | | | |

|Seismic | 0.0 | 0.0 | | | | |

___________________________________________________________________________________________

|SLS Max DL | 61.4 | 61.4 | | | | |

|SLS Min DL | 61.4 | 61.4 | | | | |

|SLS Max Sus| 61.4 | 61.4 | | | | |

|SLS Maximum| 77.5 | 77.5 | 21.3 | 21.3 | 21.3 | 21.3 |

___________________________________________________________________________________________

ULS Support Reactions

_________________________________________________

|Load Combo.| Left [*]| Right [*]|

_________________________________________________

|ULS Maximum| 99.5 [ 2]| 99.5 [ 2]|

|ULS Minimum| 0.0 [ 9]| 0.0 [ 9]|

_________________________________________________

* Critical Factored Load Combination

______________________________________________________________________________________________________________

CONCRETE STRESS RESULTS (UNCRACKED ANALYSIS)

(+ve = compression, -ve = tension)

Page 23 of 58

Page 24: 2015.08.31 - 153041-CN-01 Rev0

Summary Report

Concise Beam, Version 4.58f, Copyright 2002-2012 Black Mint Software, Inc.

Licensed to: 4113040214, United Precast Concrete LLC - OK

Project:

Problem:

4File: C2 GF HCS320 x 8.95m with 8-12.5strands.con

Engineer: Engineering Dept

Mon Aug 31 11:41:39 2015�

Company: United Precast Concret

_________________________________________________________________

| | x | Stress | Limit | Overstress|

| Location | m | MPa | MPa | Notice |

_________________________________________________________________

|STRESSES AT TRANSFER |

|Critical Compression |

| Top of Beam | 4.475| 0.55 | 21.84 | 0%|

| Bottom of Beam | 0.581| 9.66 | 21.84 | 0%|

| | Longitudinal Tensile Rebar Needed (mm^2)

|Critical Tension | Required Provided Additional

| Top of Beam | 0.581| -1.68 | -3.48 | 0%|

| Bottom of Beam | 0.000| 0.01 | -3.48 | 0%|

_________________________________________________________________

|STRESSES DURING INITIAL LIFTING (including dynamic allowance) |

|Critical Compression |

| Top of Beam | 4.475| 0.41 | 21.84 | 0%|

| Bottom of Beam | 0.581| 9.80 | 21.84 | 0%|

| | Longitudinal Tensile Rebar Needed (mm^2)

|Critical Tension | Required Provided Additional

| Top of Beam | 0.581| -1.82 | -3.48 | 0%|

| Bottom of Beam | 0.000| 0.01 | -3.48 | 0%|

_________________________________________________________________

|STRESSES DURING ERECTION LIFTING (including dynamic allowance) |

|Critical Compression |

| Top of Beam | 4.475| 0.51 | 33.60 | 0%|

| Bottom of Beam | 0.581| 9.15 | 33.60 | 0%|

| | Longitudinal Tensile Rebar Needed (mm^2)

|Critical Tension | Required Provided Additional

| Top of Beam | 0.581| -1.68 | -4.31 | 0%|

| Bottom of Beam | 0.000| 0.00 | -4.31 | 0%|

_________________________________________________________________

|STRESSES IN SERVICE |

|Critical Compression |

| Top of Beam | 4.475| 4.92 | 28.80 | 0%|

| Bottom of Beam | 0.581| 6.80 | 28.80 | 0%|

| Top of CIP Pour| 4.475| 3.61 | 19.20 | 0%|

|Critical Tension |

| Top of Beam | 0.492| -0.41 | -6.90 | 0%| Class U member - not cracked

| Bottom of Beam | 0.000| 0.00 | -6.90 | 0%| Class U member - not cracked

| Top of CIP Pour| 0.050| 0.00 | -3.52 | 0%|

_________________________________________________________________

|STRESSES IN SERVICE (SUSTAINED LOADS ONLY) |

|Critical Compression |

| Top of Beam | 4.475| 3.95 | 21.60 | 0%|

| Bottom of Beam | 0.581| 7.18 | 21.60 | 0%|

_________________________________________________________________

At Transfer During Lifting In Service

Modulus of Rupture, fr = -3.48 MPa -3.48 MPa -4.31 MPa

Strength Required for Transfer, f'c = 13.8 MPa (f'c specified = 31 MPa)

Strength Required for Initial Lifting, f'c = 14.0 MPa (f'c assumed = 31 MPa)

______________________________________________________________________________________________________________

DISTRIBUTION OF FLEXURAL STEEL & CRACKING

(+ve = tension, -ve = compression)

Beam not cracked, cracking is controlled, or crack depth is less than concrete cover.

______________________________________________________________________________________________________________________

DEFLECTIONS AT ALL STAGES

(-ve = deflection down, +ve = camber up)

Design Code Used: ACI 318-08

THESE DEFLECTIONS ARE BASED ON MIDSPAN PROPERTIES THROUGHOUT THE LENGTH OF THE BEAM.

_____________________________________________________________________________________________________________

| | Net Deflection | Change in Deflection |

|Location| Net @ | Net @ | Net @ | Net DL | Net Total| DL growth| LL | Span/Deflection |

| x | Transfer | Erection |Completion| @ Final | @ Final | + LL | alone | DL growth| LL |

| m | mm | mm | mm | mm | mm | mm | mm | + LL | alone |

| Column | A | B | C | D | E | E - C | E - D | | |

_____________________________________________________________________________________________________________

| 0.000| -0.6 | -0.3 | -0.2 | -0.1 | 0.0 | 0.1 | 0.0 | 973 | 3021 |

| 0.050| -0.5 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0 | 0 |

| 0.935| 2.1 | 5.3 | 2.9 | 1.7 | 1.1 | -1.8 | -0.6 | 4846 | 15401 |

Page 24 of 58

Page 25: 2015.08.31 - 153041-CN-01 Rev0

Summary Report

Concise Beam, Version 4.58f, Copyright 2002-2012 Black Mint Software, Inc.

Licensed to: 4113040214, United Precast Concrete LLC - OK

Project:

Problem:

5File: C2 GF HCS320 x 8.95m with 8-12.5strands.con

Engineer: Engineering Dept

Mon Aug 31 11:41:39 2015�

Company: United Precast Concret

| 1.820| 4.1 | 9.1 | 4.6 | 2.2 | 1.1 | -3.5 | -1.1 | 2493 | 8140 |

| 2.705| 5.6 | 11.7 | 5.5 | 2.0 | 0.5 | -4.9 | -1.5 | 1789 | 5946 |

| 3.590| 6.4 | 13.1 | 5.8 | 1.7 | 0.0 | -5.9 | -1.7 | 1512 | 5076 |

| 4.475| 6.7 | 13.6 | 5.9 | 1.6 | -0.3 | -6.2 | -1.8 | 1435 | 4834 |

| 5.449| 6.4 | 13.0 | 5.8 | 1.7 | 0.0 | -5.8 | -1.7 | 1529 | 5130 |

| 6.333| 5.4 | 11.5 | 5.4 | 2.0 | 0.6 | -4.8 | -1.5 | 1833 | 6085 |

| 7.218| 4.0 | 8.8 | 4.5 | 2.2 | 1.1 | -3.4 | -1.0 | 2611 | 8508 |

| 8.104| 1.9 | 4.8 | 2.7 | 1.6 | 1.1 | -1.6 | -0.5 | 5382 | 17051 |

| 8.900| -0.5 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0 | 0 |

| 8.950| -0.6 | -0.3 | -0.2 | -0.1 | 0.0 | 0.1 | 0.0 | 973 | 3021 |

_____________________________________________________________________________________________________________

Col. A: Net deflection at transfer includes prestressing and beam weight on temporary supports.

Col. B: Net deflection at erection includes prestressing and all dead loads applied before the cast-in-place

pour plus long-time deflection growth of the prestressing and beam weight up to erection

Col. C: Net deflection at completion of construction includes prestressing and all dead loads

plus long-time deflection growth of the prestressing and dead load up to completion

Col. D: Net DL deflection at final includes prestressing, all dead loads, and sustained live loads,.

plus long-time deflection growth.

Col. E: Net total deflection at final includes prestressing, all dead loads, and all live loads,

plus long-time deflection growth.

Live load includes roof load, and fluid weight. Wind and earthquake are not included.

Deflection growth is estimated by use of the PCI suggested multipliers - see the Deflection Multipliers report.

Span/Deflection Limits: DL growth + LL = L / 480 for non-structural attachments

L / 240 otherwise

LL alone = L / 360 for floors

L / 180 for roofs

______________________________________________________________________________________________________________________

FLEXURAL DESIGN CHECK

Design Code Used: ACI 318-08

β used: for precast beam = 0.702 , for cast-in-place pour = 0.818

_________________________________________________________________________________________________________

| | Factored | Design | Minimum * | Depth in | Net Tensile| Flexure | Ø | Notes & |

| | Moment | Strength | Required | Compression| Strain | Class | | Warnings |

| x | Mu | ØMn | Strength | c | | | | |

| m | kNm | kNm | kNm | mm | | | | |

_________________________________________________________________________________________________________

| 0.000| 0.0 | 0.2 | 0.0 | 0.9 | 1.0865|Tension | 0.75| |

| 0.050| 0.0 | -1.6 | 0.0 | 1.9 | 0.0538|Tension | 0.75| |

| 0.935| 78.3 | 216.5 | 156.6 | 30.8 | 0.0307|Tension | 0.79| |

| 1.820| 139.3 | 339.6 | 278.5 | 44.5 | 0.0203|Tension | 0.87| |

| 2.705| 182.8 | 384.7 | 323.0 | 49.3 | 0.0180|Tension | 0.90| |

| 3.590| 208.9 | 384.7 | 322.7 | 49.3 | 0.0180|Tension | 0.90| |

| 4.475| 217.6 | 384.7 | 322.6 | 49.3 | 0.0180|Tension | 0.90| |

| 5.449| 207.1 | 384.7 | 322.7 | 49.3 | 0.0180|Tension | 0.90| |

| 6.333| 179.2 | 384.7 | 323.1 | 49.3 | 0.0180|Tension | 0.90| |

| 7.218| 134.0 | 326.7 | 267.9 | 44.0 | 0.0205|Tension | 0.86| |

| 8.104| 71.3 | 205.1 | 142.5 | 29.4 | 0.0323|Tension | 0.78| |

| 8.900| 0.0 | -1.6 | 0.0 | 1.9 | 0.0538|Tension | 0.75| |

| 8.950| 0.0 | 0.2 | 0.0 | 0.9 | 1.0865|Tension | 0.75| |

_________________________________________________________________________________________________________

Points of Maximum and Minimum Factored Moment

| 4.475| 217.6 | 384.7 | 322.6 | 49.3 | 0.0180|Tension | 0.90| |

| 0.050| 0.0 | -1.6 | 0.0 | 1.9 | 0.0538|Tension | 0.75| |

Points of Maximum Ratio of Factored Moment to Design Strength

| 4.475| 217.6 | 384.7 | 322.6 | 49.3 | 0.0180|Tension | 0.90| |

| 0.050| 0.0 | -1.6 | 0.0 | 1.9 | 0.0538|Tension | 0.75| |

_________________________________________________________________________________________________________

* Minimum Strength Only Checked at Points of Maximum and Minimum Moment.

______________________________________________________________________________________________________________________

SHEAR/TORSION DESIGN CHECK

Design Code Used: ACI 318-08

Shear and Torsion Design Forces

_______________________________________________________________________________________________________________________

| | Design | Prestress| Strength | Strength Provided | Min. Strength Req'd | Threshold| Design | Torsion

| | Shear | Component| Concrete | Stirrups | Total | Stirrups | Total | Torsion | Torsion | Provided

| x | Vu | Vp | ØVc | ØVs | ØVn | ØVs | ØVn | ØTcr/4 | Tu | ØTn

| m | kN | kN | kN | kN | kN | kN | kN | kNm | kNm | kNm

_______________________________________________________________________________________________________________________

Page 25 of 58

Page 26: 2015.08.31 - 153041-CN-01 Rev0

Summary Report

Concise Beam, Version 4.58f, Copyright 2002-2012 Black Mint Software, Inc.

Licensed to: 4113040214, United Precast Concrete LLC - OK

Project:

Problem:

6File: C2 GF HCS320 x 8.95m with 8-12.5strands.con

Engineer: Engineering Dept

Mon Aug 31 11:41:39 2015�

Company: United Precast Concret

| 0.000| 0.0 | 0.0 | -84.5 | 0.0 | -84.5 | 0.0 | -84.5 | 8.7 | 0.0 | 0.0

| 0.050| 0.0 | 0.0 | 211.4 | 0.0 | 211.4 | 0.0 | 211.4 | 9.1 | 0.0 | 0.0

| 0.050| 93.0 | 0.0 | 211.4 | 0.0 | 211.4 | 0.0 | 211.4 | 9.1 | 0.0 | 0.0

| 0.935| 78.7 | 0.0 | 209.8 | 0.0 | 209.8 | 0.0 | 209.8 | 12.5 | 0.0 | 0.0

| 1.820| 59.0 | 0.0 | 105.4 | 0.0 | 105.4 | 12.8 | 118.2 | 13.0 | 0.0 | 0.0

| 2.705| 39.3 | 0.0 | 84.5 | 0.0 | 84.5 | 0.0 | 84.5 | 13.3 | 0.0 | 0.0

| 3.590| 19.7 | 0.0 | 84.5 | 0.0 | 84.5 | 0.0 | 84.5 | 13.5 | 0.0 | 0.0

| 4.475| 0.0 | 0.0 | 84.5 | 0.0 | 84.5 | 0.0 | 84.5 | 13.5 | 0.0 | 0.0

| 5.449| -21.6 | 0.0 | -84.5 | 0.0 | -84.5 | 0.0 | -84.5 | 13.5 | 0.0 | 0.0

| 6.333| -41.3 | 0.0 | -84.5 | 0.0 | -84.5 | 0.0 | -84.5 | 13.3 | 0.0 | 0.0

| 7.218| -61.0 | 0.0 | -111.4 | 0.0 | -111.4 | -12.5 | -123.8 | 12.9 | 0.0 | 0.0

| 8.104| -80.7 | 0.0 | -209.2 | 0.0 | -209.2 | 0.0 | -209.2 | 12.4 | 0.0 | 0.0

| 8.900| -93.0 | 0.0 | -211.4 | 0.0 | -211.4 | 0.0 | -211.4 | 9.1 | 0.0 | 0.0

| 8.900| 0.0 | 0.0 | 211.4 | 0.0 | 211.4 | 0.0 | 211.4 | 9.1 | 0.0 | 0.0

| 8.950| 0.0 | 0.0 | 84.5 | 0.0 | 84.5 | 0.0 | 84.5 | 8.7 | 0.0 | 0.0

_______________________________________________________________________________________________________________________

Notes & Warnings

5 - Note: Design shear force, and/or torsion, and design limited to critical section near support.

7 - Note: The calculation of the shear strength of the concrete used the simplified method.

Transverse Steel (Stirrup) Design for Shear

___________________________________________________________________________________________________________

| | Required Shear Steel | Stirrup | Stirrup Spacing | Additional Long. Steel| Notes & |

| | Total | Torsion* | Provided | Provided | Required | for Torsion, Al | Warnings |

| x | (Av+2At)/s | At/s | Av+2At | s | s | Bottom | Top | |

| m | mm^2/mm | mm^2/mm | mm^2 | mm | mm | mm^2 | mm^2 | |

___________________________________________________________________________________________________________

| 0.000| 0.000 | 0.000 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 5 |

| 0.050| 0.000 | 0.000 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 5 |

| 0.050| 0.000 | 0.000 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 5 |

| 0.935| 0.000 | 0.000 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | |

| 1.820| 0.124 | 0.000 | 0.0 | 0.0 | 285.0 | 0.0 | 0.0 | 2 |

| 2.705| 0.000 | 0.000 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | |

| 3.590| 0.000 | 0.000 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | |

| 4.475| 0.000 | 0.000 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | |

| 5.449| 0.000 | 0.000 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | |

| 6.333| 0.000 | 0.000 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | |

| 7.218| 0.120 | 0.000 | 0.0 | 0.0 | 285.0 | 0.0 | 0.0 | 2 |

| 8.104| 0.000 | 0.000 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | |

| 8.900| 0.000 | 0.000 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 5 |

| 8.900| 0.000 | 0.000 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 5 |

| 8.950| 0.000 | 0.000 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 5 |

___________________________________________________________________________________________________________

Notes & Warnings

2 - Note: Amount of shear steel required represents minimum code requirements.

5 - Note: Design shear force limited to critical section near support.

Note: Additional long. steel in compression side of section has been reduced.

* Portion of the total stirrup area required to resist torsional shear flow (one leg around periphery).

Page 26 of 58

Page 27: 2015.08.31 - 153041-CN-01 Rev0

Page 27 of 58

adf
Text Box
C A S E 3 2 : H C S 3 2 0 x 9 . 0 2 m w / 8 - 1 2 . 5 d i a . s t r a n d s . S D L = 7 . 5 k P a L L = 3 . 0 k P a
adf
Rectangle
adf
Polygonal Line
adf
Text Box
CASE 4: HCS320 x 6.92m w/ 6-12.5dia. strands. SDL = 7.5 kPa LL = 3.0 kPa
adf
Rectangle
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Polygonal Line
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Text Box
FIRST FLOOR HCS LAYOUT
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Polygonal Line
Page 28: 2015.08.31 - 153041-CN-01 Rev0

C3 FF HCS320 x 9.02m with 8-12.5strands.con

Concise Beam, Version 4.58f, Copyright 2002-2012 Black Mint Software, Inc.

Licensed to: 4113040214, United Precast Concrete LLC - OK

Project:

Problem:

Engineer: Engineering Dept

File: C3 FF HCS320 x 9.02m with 8-12.5strands.con Mon Aug 31 11:48:24 2015�

Company: United Precast Concret

Page 28 of 58

Page 29: 2015.08.31 - 153041-CN-01 Rev0

Shear Design Graph

Concise Beam, Version 4.58f, Copyright 2002-2012 Black Mint Software, Inc.

Licensed to: 4113040214, United Precast Concrete LLC - OK

Project:

Problem:

Engineer: Engineering Dept

File: C3 FF HCS320 x 9.02m with 8-12.5strands.con Mon Aug 31 11:48:43 2015�

Company: United Precast Concret

Distance From Left End of Beam - m

Sh

ea

r -

kN

Shear DesignShear Design

0.000 0.902 1.804 2.706 3.608 4.510 5.412 6.314 7.216 8.118 9.020

300

240

180

120

60

0

-60

-120

-180

-240

-300

Factored Design Shear, Vu

Total Strength Provided, ØVn

Minimum Strength Required

Concrete Strength Provided, ØVc

Critical Section for Shear Loading

Page 29 of 58

Page 30: 2015.08.31 - 153041-CN-01 Rev0

Flexural Design Graph

Concise Beam, Version 4.58f, Copyright 2002-2012 Black Mint Software, Inc.

Licensed to: 4113040214, United Precast Concrete LLC - OK

Project:

Problem:

Engineer: Engineering Dept

File: C3 FF HCS320 x 9.02m with 8-12.5strands.con Mon Aug 31 11:48:37 2015�

Company: United Precast Concret

Distance From Left End of Beam - m

Mo

me

nt

- k

Nm

Flexural DesignFlexural Design

0.000 0.902 1.804 2.706 3.608 4.510 5.412 6.314 7.216 8.118 9.020

480

420

360

300

240

180

120

60

0

-60

-120

Factored Moment, Mu: +ve Bending

Design Strength, ØMn: +ve Bending

Factored Moment, Mu: -ve Bending

Design Strength, ØMn: -ve Bending

Page 30 of 58

Page 31: 2015.08.31 - 153041-CN-01 Rev0

Deflection Estimate on Final Supports Graph

Concise Beam, Version 4.58f, Copyright 2002-2012 Black Mint Software, Inc.

Licensed to: 4113040214, United Precast Concrete LLC - OK

Project:

Problem:

Engineer: Engineering Dept

File: C3 FF HCS320 x 9.02m with 8-12.5strands.con Mon Aug 31 11:48:52 2015�

Company: United Precast Concret

Distance From Left End of Beam - m

De

fle

cti

on

-

mm

Deflection Estimate on Final SupportsDeflection Estimate on Final Supports

0.000 0.902 1.804 2.706 3.608 4.510 5.412 6.314 7.216 8.118 9.020

16.00

14.00

12.00

10.00

8.00

6.00

4.00

2.00

0.00

-2.00

-4.00

Deflection @ Erection

Deflection On Completion

Final DL Deflection

Final DL + LL Deflection

Page 31 of 58

Page 32: 2015.08.31 - 153041-CN-01 Rev0

Summary Report

Concise Beam, Version 4.58f, Copyright 2002-2012 Black Mint Software, Inc.

Licensed to: 4113040214, United Precast Concrete LLC - OK

Project:

Problem:

1File: C3 FF HCS320 x 9.02m with 8-12.5strands.con

Engineer: Engineering Dept

Mon Aug 31 11:49:06 2015�

Company: United Precast Concret

SUMMARY REPORT

Design Code Used: ACI 318-08

______________________________________________________________________________________________________________

CONCRETE MATERIAL PROPERTIES

Precast Beam Cast-in-Place Pour

___________________________ ___________________________

Concrete Density Wt = 2500 kg/m^3 Wt = 2500 kg/m^3

Compressive Strength f'c = 48.0 MPa f'c = 32.0 MPa

Modulus of Elasticity Ec = 37015 MPa Ec = 30222 MPa

Strength at Transfer f'c = 31.2 MPa

Modulus of Elast. at Transfer Ec = 29842 MPa

Strength at Lifting f'c = 31.2 MPa

Modulus of Elast. at Lifting Ec = 29842 MPa

Cement Content = 410 kg/m^3 Construction Schedule

Air Content = 5.00 % Age at Transfer = 0.75 days

Slump = 50.0 mm Age at Erection = 15 days

Aggregate Mix = 0.40 (fine to total aggregate ratio) Age at Cast-in-Place Pour = 25 days

Aggregate Size = 20.0 mm Age Cast-in-Place is Composite = 35 days

Basic Shrinkage Strain = 780.000E-6 Age Construction is Complete = 143 days

Curing Method = Moist

Relative Humidity in Service = 70 %

Ambient Temperature in Service = 20 deg C

______________________________________________________________________________________________________________

PRECAST BEAM LAYOUT

________________________________________________________________________________________________________________

| Segment/Length | Section Identification | Offset |

|No| From | To | Length | Folder | Section | Section | Z | Y |

| | m | m | m | Name | Name | Type | mm | mm |

________________________________________________________________________________________________________________

| 1| 0.000| 9.020| 9.020| Current Problem | HCUPC1200x320 | Unspecified | 0.0| 0.0|

________________________________________________________________________________________________________________

Span Length at Transfer = 8.620 m, Centre of Supports, Left @ 0.200 m, Right @ 8.820 m

Span Length in Service = 8.920 m, Centre of Supports, Left @ 0.050 m, Right @ 8.970 m

Total Beam Length = 9.020 m, Bearing Length, Left = 100.0 mm, Right = 100.0 mm

______________________________________________________________________________________________________________

CAST-IN-PLACE POUR LAYOUT

______________________________________________________________________________________________

| Segment/Length | Slab/Topping Parameters | Haunch Paramaters |Vertical|

|No| From | To | Length | Thick. | Width | Offset | Thick. | Width | Offset | Offset |

| | m | m | m | mm | mm | mm | mm | mm | mm | mm |

______________________________________________________________________________________________

| 1| 0.000| 9.020| 9.020| 60.0| 1200.0| 0.0| 0.0| 0.0| 0.0| 0.0|

______________________________________________________________________________________________

Beam is UNSHORED during the cast-in-place pour and superimposed dead load.

______________________________________________________________________________________________________________

GROSS PRECAST SECTION PROPERTIES (NON-COMPOSITE)

(based on Ec of the precast beam - transformed area of rebar and strand NOT included)

_______________________________________________________________________________________________________

|Seg.| Section Properties | Section| Section| Shear |Volume /| Section Moduli |

| No.| A | I | yb | Height | Width | Width | Surface| Sb | St |

| | mm^2 | mm^4 | mm | mm | mm | mm | mm | mm^3 | mm^3 |

_______________________________________________________________________________________________________

| 1| 194167 | 2.522E+9 | 161.0| 320.0| 1200.0| 284.0| 64.00| -15.665E+6 | 15.862E+6 |

_______________________________________________________________________________________________________

______________________________________________________________________________________________________________

GROSS COMPOSITE SECTION PROPERTIES

(based on Ec of the precast beam - transformed area of rebar and strand NOT included)

______________________________________________________________________________________________________

|Seg.| Section Properties | Section| Section Moduli |

| No.| Ac | Ic | yb | Height | Sb | St | Sbc | Stc |

| | mm^2 | mm^4 | mm | mm | mm^3 | mm^3 | mm^3 | mm^3 |

______________________________________________________________________________________________________

| 1| 252954 | 4.152E+9 | 204.9| 380.0| -20.259E+6 | 36.077E+6 | 36.077E+6 | 23.713E+6 |

Page 32 of 58

Page 33: 2015.08.31 - 153041-CN-01 Rev0

Summary Report

Concise Beam, Version 4.58f, Copyright 2002-2012 Black Mint Software, Inc.

Licensed to: 4113040214, United Precast Concrete LLC - OK

Project:

Problem:

2File: C3 FF HCS320 x 9.02m with 8-12.5strands.con

Engineer: Engineering Dept

Mon Aug 31 11:49:06 2015�

Company: United Precast Concret

______________________________________________________________________________________________________

Note: Sb & St = bottom and top of the precast beam, Sbc & Stc = bottom and top of the cast-in-place pour.

______________________________________________________________________________________________________________________

UNCRACKED SECTION PROPERTIES SUMMARY

_______________________________________________________________________________________________________________________

| | A: Net Precast Section | B: Transformed Precast Section | C: Transformed Precast Section |D: Transfo

| | at Transfer (based on Eci) | at Transfer (based on Eci) | in Service (based on Ec) | in Ser

| | (include rebar, deduct strand) | (include rebar and strand) | (include rebar and strand) | (includ

| x | A | I | yb | A | I | yb | A | I | yb | Ac

| m | mm^2 | mm^4 | mm | mm^2 | mm^4 | mm | mm^2 | mm^4 | mm | mm^2

_______________________________________________________________________________________________________________________

| 0.000| 193419 | 2.510E+9 | 161.5| 194171 | 2.522E+9 | 161.0| 194170 | 2.522E+9 | 161.0| 252957

| 0.050| 193419 | 2.510E+9 | 161.5| 194567 | 2.528E+9 | 160.7| 194476 | 2.527E+9 | 160.8| 253262

| 0.942| 193419 | 2.510E+9 | 161.5| 198307 | 2.586E+9 | 158.4| 197360 | 2.572E+9 | 159.0| 256146

| 1.834| 193419 | 2.510E+9 | 161.5| 198307 | 2.586E+9 | 158.4| 197360 | 2.572E+9 | 159.0| 256146

| 2.726| 193419 | 2.510E+9 | 161.5| 198307 | 2.586E+9 | 158.4| 197360 | 2.572E+9 | 159.0| 256146

| 3.618| 193419 | 2.510E+9 | 161.5| 198307 | 2.586E+9 | 158.4| 197360 | 2.572E+9 | 159.0| 256146

| 4.510| 193419 | 2.510E+9 | 161.5| 198307 | 2.586E+9 | 158.4| 197360 | 2.572E+9 | 159.0| 256146

| 5.491| 193419 | 2.510E+9 | 161.5| 198307 | 2.586E+9 | 158.4| 197360 | 2.572E+9 | 159.0| 256146

| 6.383| 193419 | 2.510E+9 | 161.5| 198307 | 2.586E+9 | 158.4| 197360 | 2.572E+9 | 159.0| 256146

| 7.275| 193419 | 2.510E+9 | 161.5| 198307 | 2.586E+9 | 158.4| 197360 | 2.572E+9 | 159.0| 256146

| 8.167| 193419 | 2.510E+9 | 161.5| 198307 | 2.586E+9 | 158.4| 197360 | 2.572E+9 | 159.0| 256146

| 8.970| 193419 | 2.510E+9 | 161.5| 194567 | 2.528E+9 | 160.7| 194476 | 2.527E+9 | 160.8| 253262

| 9.020| 193419 | 2.510E+9 | 161.5| 194171 | 2.522E+9 | 161.0| 194170 | 2.522E+9 | 161.0| 252957

_______________________________________________________________________________________________________________________

These section properties can used to calculate uncracked concrete stresses using the following guidelines.

- A: Net Precast Section at Transfer properties are used with the initial prestress after transfer (after elastic shor

- B: Transformed Precast Section at Transfer properties are used with the precast beam self-weight.

- C: Transformed Precast Section in Service properties are used with external loads applied to the non-composite preca

- D: Transformed Composite Section in Service properties are used with external loads applied to the composite precast

______________________________________________________________________________________________________________

PRESTRESSING STEEL TENDONS

__________________________________________________________________________________________________________

| | | | | | Offsets |End Offset & Type| Tendon | Jacking Force |

|ID|Qty| Grade |Type| Strand Size | x | y |Left **|Right **| Area | Pj | %fpu|

| | | MPa | * | | m | mm | m | m | mm^2 | kN | |

__________________________________________________________________________________________________________

| 1| 8| 1770| LRS| D12.5 | 0.000| 35.0| 0.000 B| 0.000 B| 748.00 | 801.0 | 0.60|

| | | | | | 9.020| 35.0| | | | | |

__________________________________________________________________________________________________________

note: * Type = LRS - Low-Relaxation Strand, SRS - Stress-Relieved Strand, PB - Plain Bar, DB - Deformed Bar

** End Types = B - Fully Bonded, D - Debonded, C - Cut, A - Anchored (fully developed)

Calculated Losses: Initial = 4.1%, Final = 11.7%

Maximum Total Prestress Forces: Pj(jacking) = 801.0 kN,

Pi(transfer) = 768.5 kN,

Pe(effective) = 707.4 kN @ x = 4.510 m,

See the "Development Length" text report for details of the strand transfer and development lengths

______________________________________________________________________________________________________________

PRECAST BEAM AND CAST-IN-PLACE POUR SELF-WEIGHT

____________________________________________________

| Segment/Length | Linear Weight |

| | From | To | Beam | Cast-in-Place |

|No.| m | m | kN/m | kN/m |

____________________________________________________

| 1| 0.000| 9.020| 4.7600 | 1.7651 |

____________________________________________________

______________________________________________________________________________________________________________

EXTERNALLY APPLIED LOADS

________________________________________________________________________________________________________________

| Load Case |Type| Label | Description | Distribution |

________________________________________________________________________________________________________________

|SDL AT | D |SDL (6kpa*1.2m) |Vertical: 7.2 kN/m full length |No Load Distribution|

|Live Load | L |LL (3.0kpa * 1.2m) |Vertical: 3.6 kN/m full length |No Load Distribution|

________________________________________________________________________________________________________________

Page 33 of 58

Page 34: 2015.08.31 - 153041-CN-01 Rev0

Summary Report

Concise Beam, Version 4.58f, Copyright 2002-2012 Black Mint Software, Inc.

Licensed to: 4113040214, United Precast Concrete LLC - OK

Project:

Problem:

3File: C3 FF HCS320 x 9.02m with 8-12.5strands.con

Engineer: Engineering Dept

Mon Aug 31 11:49:06 2015�

Company: United Precast Concret

Load Combinations

Factored Combination 1 = 1.40D + 1.40F

Factored Combination 2 = 1.20D + 1.60L + 0.50SRLr + 1.20F

Factored Combination 3 = 1.20D + 1.00L + 1.60SRLr

Factored Combination 4 = 1.20D + 1.60SRLr + 0.80W

Factored Combination 5 = 1.20D + 1.00L + 0.50SRLr + 1.60W

Factored Combination 6 = 1.20D + 1.00L + 0.50SRLr + 1.60W

Factored Combination 7 = 0.90D + 1.60W

Factored Combination 8 = 0.90D + 1.00E

______________________________________________________________________________________________________________

ANALYSIS RESULTS SUMMARY - IN SERVICE

__________________________________________________________________________________________

| | Total Unfactored Moments| Total Factored Effects |

| x | Total | Sustained | Shear | | Moment | | Torsion | |

| m | kNm | kNm | kN | [*]| kNm | [*]| kNm | [*]|

__________________________________________________________________________________________

| 0.000| 0.0 | 0.0 | 0.0 |[ 1]| 0.0 |[ 1]| 0.0 |[ 1]|

| 0.050| 0.0 | 0.0 | -1.1 |[ 2]| 0.0 |[ 2]| 0.0 |[ 1]|

| 0.050| 0.0 | 0.0 | 99.1 |[ 2]| 0.0 |[ 2]| 0.0 |[ 1]|

| 0.942| 62.0 | 49.1 | 79.3 |[ 2]| 79.6 |[ 2]| 0.0 |[ 1]|

| 1.834| 110.3 | 87.3 | 59.5 |[ 2]| 141.5 |[ 2]| 0.0 |[ 1]|

| 2.726| 144.7 | 114.6 | 39.7 |[ 2]| 185.7 |[ 2]| 0.0 |[ 1]|

| 3.618| 165.4 | 131.0 | 19.8 |[ 2]| 212.2 |[ 2]| 0.0 |[ 1]|

| 4.510| 172.3 | 136.5 | 0.0 |[ 1]| 221.1 |[ 2]| 0.0 |[ 1]|

| 5.491| 164.0 | 129.9 | -21.8 |[ 2]| 210.4 |[ 2]| 0.0 |[ 1]|

| 6.383| 141.9 | 112.4 | -41.6 |[ 2]| 182.1 |[ 2]| 0.0 |[ 1]|

| 7.275| 106.1 | 84.0 | -61.5 |[ 2]| 136.1 |[ 2]| 0.0 |[ 1]|

| 8.167| 56.4 | 44.7 | -81.3 |[ 2]| 72.4 |[ 2]| 0.0 |[ 1]|

| 8.970| 0.0 | 0.0 | -99.1 |[ 2]| 0.0 |[ 2]| 0.0 |[ 1]|

| 8.970| 0.0 | 0.0 | 1.1 |[ 2]| 0.0 |[ 2]| 0.0 |[ 1]|

| 9.020| 0.0 | 0.0 | 0.0 |[ 1]| 0.0 |[ 1]| 0.0 |[ 1]|

__________________________________________________________________________________________

* Critical ULS Load Combination

______________________________________________________________________________________________________________

SUPPORT REACTIONS (kN)

(+ve = upwards)

Unfactored Support Reactions

___________________________________________________________________________________________

| | In Service | During Lifting | During Transport |

| Load Case | Left | Right | Left | Right | Left | Right |

___________________________________________________________________________________________

|Beam Weight| 21.5 | 21.5 | 21.5 | 21.5 | 21.5 | 21.5 |

|SDL BT | 0.0 | 0.0 | | | | |

|CIP Weight | 8.0 | 8.0 | | | | |

|SDL AT | 32.5 | 32.5 | | | | |

|LL Sustain | 0.0 | 0.0 | | | | |

|Live Load | 16.2 | 16.2 | | | | |

|Roof Load | 0.0 | 0.0 | | | | |

|Fluid Wgt | 0.0 | 0.0 | | | | |

|Wind | 0.0 | 0.0 | | | | |

|Seismic | 0.0 | 0.0 | | | | |

___________________________________________________________________________________________

|SLS Max DL | 61.9 | 61.9 | | | | |

|SLS Min DL | 61.9 | 61.9 | | | | |

|SLS Max Sus| 61.9 | 61.9 | | | | |

|SLS Maximum| 78.1 | 78.1 | 21.5 | 21.5 | 21.5 | 21.5 |

___________________________________________________________________________________________

ULS Support Reactions

_________________________________________________

|Load Combo.| Left [*]| Right [*]|

_________________________________________________

|ULS Maximum| 100.3 [ 2]| 100.3 [ 2]|

|ULS Minimum| 0.0 [ 9]| 0.0 [ 9]|

_________________________________________________

* Critical Factored Load Combination

______________________________________________________________________________________________________________

CONCRETE STRESS RESULTS (UNCRACKED ANALYSIS)

(+ve = compression, -ve = tension)

Page 34 of 58

Page 35: 2015.08.31 - 153041-CN-01 Rev0

Summary Report

Concise Beam, Version 4.58f, Copyright 2002-2012 Black Mint Software, Inc.

Licensed to: 4113040214, United Precast Concrete LLC - OK

Project:

Problem:

4File: C3 FF HCS320 x 9.02m with 8-12.5strands.con

Engineer: Engineering Dept

Mon Aug 31 11:49:06 2015�

Company: United Precast Concret

_________________________________________________________________

| | x | Stress | Limit | Overstress|

| Location | m | MPa | MPa | Notice |

_________________________________________________________________

|STRESSES AT TRANSFER |

|Critical Compression |

| Top of Beam | 4.510| 0.59 | 21.84 | 0%|

| Bottom of Beam | 8.435| 9.66 | 21.84 | 0%|

| | Longitudinal Tensile Rebar Needed (mm^2)

|Critical Tension | Required Provided Additional

| Top of Beam | 8.435| -1.68 | -3.48 | 0%|

| Bottom of Beam | 0.000| 0.01 | -3.48 | 0%|

_________________________________________________________________

|STRESSES DURING INITIAL LIFTING (including dynamic allowance) |

|Critical Compression |

| Top of Beam | 4.510| 0.46 | 21.84 | 0%|

| Bottom of Beam | 8.435| 9.79 | 21.84 | 0%|

| | Longitudinal Tensile Rebar Needed (mm^2)

|Critical Tension | Required Provided Additional

| Top of Beam | 8.435| -1.81 | -3.48 | 0%|

| Bottom of Beam | 0.000| 0.01 | -3.48 | 0%|

_________________________________________________________________

|STRESSES DURING ERECTION LIFTING (including dynamic allowance) |

|Critical Compression |

| Top of Beam | 4.510| 0.55 | 33.60 | 0%|

| Bottom of Beam | 8.435| 9.14 | 33.60 | 0%|

| | Longitudinal Tensile Rebar Needed (mm^2)

|Critical Tension | Required Provided Additional

| Top of Beam | 8.435| -1.67 | -4.31 | 0%|

| Bottom of Beam | 0.000| 0.00 | -4.31 | 0%|

_________________________________________________________________

|STRESSES IN SERVICE |

|Critical Compression |

| Top of Beam | 4.510| 5.03 | 28.80 | 0%|

| Bottom of Beam | 0.585| 6.77 | 28.80 | 0%|

| Top of CIP Pour| 4.510| 3.66 | 19.20 | 0%|

|Critical Tension |

| Top of Beam | 0.496| -0.40 | -6.90 | 0%| Class U member - not cracked

| Bottom of Beam | 0.000| 0.00 | -6.90 | 0%| Class U member - not cracked

| Top of CIP Pour| 0.050| 0.00 | -3.52 | 0%|

_________________________________________________________________

|STRESSES IN SERVICE (SUSTAINED LOADS ONLY) |

|Critical Compression |

| Top of Beam | 4.510| 4.04 | 21.60 | 0%|

| Bottom of Beam | 0.585| 7.16 | 21.60 | 0%|

_________________________________________________________________

At Transfer During Lifting In Service

Modulus of Rupture, fr = -3.48 MPa -3.48 MPa -4.31 MPa

Strength Required for Transfer, f'c = 13.8 MPa (f'c specified = 31 MPa)

Strength Required for Initial Lifting, f'c = 14.0 MPa (f'c assumed = 31 MPa)

______________________________________________________________________________________________________________

DISTRIBUTION OF FLEXURAL STEEL & CRACKING

(+ve = tension, -ve = compression)

Beam not cracked, cracking is controlled, or crack depth is less than concrete cover.

______________________________________________________________________________________________________________________

DEFLECTIONS AT ALL STAGES

(-ve = deflection down, +ve = camber up)

Design Code Used: ACI 318-08

THESE DEFLECTIONS ARE BASED ON MIDSPAN PROPERTIES THROUGHOUT THE LENGTH OF THE BEAM.

_____________________________________________________________________________________________________________

| | Net Deflection | Change in Deflection |

|Location| Net @ | Net @ | Net @ | Net DL | Net Total| DL growth| LL | Span/Deflection |

| x | Transfer | Erection |Completion| @ Final | @ Final | + LL | alone | DL growth| LL |

| m | mm | mm | mm | mm | mm | mm | mm | + LL | alone |

| Column | A | B | C | D | E | E - C | E - D | | |

_____________________________________________________________________________________________________________

| 0.000| -0.6 | -0.3 | -0.2 | -0.1 | 0.0 | 0.1 | 0.0 | 942 | 2951 |

| 0.050| -0.5 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0 | 0 |

| 0.942| 2.1 | 5.3 | 2.9 | 1.6 | 1.0 | -1.9 | -0.6 | 4698 | 15042 |

Page 35 of 58

Page 36: 2015.08.31 - 153041-CN-01 Rev0

Summary Report

Concise Beam, Version 4.58f, Copyright 2002-2012 Black Mint Software, Inc.

Licensed to: 4113040214, United Precast Concrete LLC - OK

Project:

Problem:

5File: C3 FF HCS320 x 9.02m with 8-12.5strands.con

Engineer: Engineering Dept

Mon Aug 31 11:49:06 2015�

Company: United Precast Concret

| 1.834| 4.1 | 9.2 | 4.5 | 1.9 | 0.8 | -3.7 | -1.1 | 2418 | 7950 |

| 2.726| 5.6 | 11.7 | 5.3 | 1.7 | 0.2 | -5.1 | -1.5 | 1735 | 5807 |

| 3.618| 6.5 | 13.2 | 5.6 | 1.3 | -0.5 | -6.1 | -1.8 | 1467 | 4958 |

| 4.510| 6.7 | 13.7 | 5.7 | 1.2 | -0.7 | -6.4 | -1.9 | 1393 | 4721 |

| 5.491| 6.4 | 13.1 | 5.6 | 1.4 | -0.4 | -6.0 | -1.8 | 1484 | 5010 |

| 6.383| 5.5 | 11.5 | 5.2 | 1.7 | 0.2 | -5.0 | -1.5 | 1778 | 5942 |

| 7.275| 4.0 | 8.8 | 4.4 | 1.9 | 0.9 | -3.5 | -1.1 | 2533 | 8309 |

| 8.167| 1.9 | 4.8 | 2.7 | 1.5 | 1.0 | -1.7 | -0.5 | 5217 | 16653 |

| 8.970| -0.5 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0 | 0 |

| 9.020| -0.6 | -0.3 | -0.2 | -0.1 | 0.0 | 0.1 | 0.0 | 942 | 2951 |

_____________________________________________________________________________________________________________

Col. A: Net deflection at transfer includes prestressing and beam weight on temporary supports.

Col. B: Net deflection at erection includes prestressing and all dead loads applied before the cast-in-place

pour plus long-time deflection growth of the prestressing and beam weight up to erection

Col. C: Net deflection at completion of construction includes prestressing and all dead loads

plus long-time deflection growth of the prestressing and dead load up to completion

Col. D: Net DL deflection at final includes prestressing, all dead loads, and sustained live loads,.

plus long-time deflection growth.

Col. E: Net total deflection at final includes prestressing, all dead loads, and all live loads,

plus long-time deflection growth.

Live load includes roof load, and fluid weight. Wind and earthquake are not included.

Deflection growth is estimated by use of the PCI suggested multipliers - see the Deflection Multipliers report.

Span/Deflection Limits: DL growth + LL = L / 480 for non-structural attachments

L / 240 otherwise

LL alone = L / 360 for floors

L / 180 for roofs

______________________________________________________________________________________________________________________

FLEXURAL DESIGN CHECK

Design Code Used: ACI 318-08

β used: for precast beam = 0.702 , for cast-in-place pour = 0.818

_________________________________________________________________________________________________________

| | Factored | Design | Minimum * | Depth in | Net Tensile| Flexure | Ø | Notes & |

| | Moment | Strength | Required | Compression| Strain | Class | | Warnings |

| x | Mu | ØMn | Strength | c | | | | |

| m | kNm | kNm | kNm | mm | | | | |

_________________________________________________________________________________________________________

| 0.000| 0.0 | 0.2 | 0.0 | 0.9 | 1.0865|Tension | 0.75| |

| 0.050| 0.0 | -1.6 | 0.0 | 1.9 | 0.0538|Tension | 0.75| |

| 0.942| 79.6 | 217.5 | 159.1 | 31.4 | 0.0300|Tension | 0.79| |

| 1.834| 141.5 | 341.8 | 282.9 | 45.1 | 0.0199|Tension | 0.87| |

| 2.726| 185.7 | 384.7 | 323.0 | 49.3 | 0.0180|Tension | 0.90| |

| 3.618| 212.2 | 384.7 | 322.6 | 49.3 | 0.0180|Tension | 0.90| |

| 4.510| 221.1 | 384.7 | 322.5 | 49.3 | 0.0180|Tension | 0.90| |

| 5.491| 210.4 | 384.7 | 322.7 | 49.3 | 0.0180|Tension | 0.90| |

| 6.383| 182.1 | 384.7 | 323.1 | 49.3 | 0.0180|Tension | 0.90| |

| 7.275| 136.1 | 328.6 | 272.2 | 44.0 | 0.0205|Tension | 0.86| |

| 8.167| 72.4 | 205.9 | 144.8 | 29.4 | 0.0323|Tension | 0.78| |

| 8.970| 0.0 | -1.6 | 0.0 | 1.9 | 0.0538|Tension | 0.75| |

| 9.020| 0.0 | 0.2 | 0.0 | 0.9 | 1.0865|Tension | 0.75| |

_________________________________________________________________________________________________________

Points of Maximum and Minimum Factored Moment

| 4.510| 221.1 | 384.7 | 322.5 | 49.3 | 0.0180|Tension | 0.90| |

| 0.050| 0.0 | -1.6 | 0.0 | 1.9 | 0.0538|Tension | 0.75| |

Points of Maximum Ratio of Factored Moment to Design Strength

| 4.510| 221.1 | 384.7 | 322.5 | 49.3 | 0.0180|Tension | 0.90| |

| 0.050| 0.0 | -1.6 | 0.0 | 1.9 | 0.0538|Tension | 0.75| |

_________________________________________________________________________________________________________

* Minimum Strength Only Checked at Points of Maximum and Minimum Moment.

______________________________________________________________________________________________________________________

SHEAR/TORSION DESIGN CHECK

Design Code Used: ACI 318-08

Shear and Torsion Design Forces

_______________________________________________________________________________________________________________________

| | Design | Prestress| Strength | Strength Provided | Min. Strength Req'd | Threshold| Design | Torsion

| | Shear | Component| Concrete | Stirrups | Total | Stirrups | Total | Torsion | Torsion | Provided

| x | Vu | Vp | ØVc | ØVs | ØVn | ØVs | ØVn | ØTcr/4 | Tu | ØTn

| m | kN | kN | kN | kN | kN | kN | kN | kNm | kNm | kNm

_______________________________________________________________________________________________________________________

Page 36 of 58

Page 37: 2015.08.31 - 153041-CN-01 Rev0

Summary Report

Concise Beam, Version 4.58f, Copyright 2002-2012 Black Mint Software, Inc.

Licensed to: 4113040214, United Precast Concrete LLC - OK

Project:

Problem:

6File: C3 FF HCS320 x 9.02m with 8-12.5strands.con

Engineer: Engineering Dept

Mon Aug 31 11:49:06 2015�

Company: United Precast Concret

| 0.000| 0.0 | 0.0 | -84.5 | 0.0 | -84.5 | 0.0 | -84.5 | 8.7 | 0.0 | 0.0

| 0.050| 0.0 | 0.0 | 211.4 | 0.0 | 211.4 | 0.0 | 211.4 | 9.1 | 0.0 | 0.0

| 0.050| 93.8 | 0.0 | 211.4 | 0.0 | 211.4 | 0.0 | 211.4 | 9.1 | 0.0 | 0.0

| 0.942| 79.3 | 0.0 | 209.9 | 0.0 | 209.9 | 0.0 | 209.9 | 12.5 | 0.0 | 0.0

| 1.834| 59.5 | 0.0 | 104.8 | 0.0 | 104.8 | 12.9 | 117.7 | 13.0 | 0.0 | 0.0

| 2.726| 39.7 | 0.0 | 84.5 | 0.0 | 84.5 | 0.0 | 84.5 | 13.3 | 0.0 | 0.0

| 3.618| 19.8 | 0.0 | 84.5 | 0.0 | 84.5 | 0.0 | 84.5 | 13.5 | 0.0 | 0.0

| 4.510| 0.0 | 0.0 | 84.5 | 0.0 | 84.5 | 0.0 | 84.5 | 13.6 | 0.0 | 0.0

| 5.491| -21.8 | 0.0 | -84.5 | 0.0 | -84.5 | 0.0 | -84.5 | 13.5 | 0.0 | 0.0

| 6.383| -41.6 | 0.0 | -84.5 | 0.0 | -84.5 | 0.0 | -84.5 | 13.3 | 0.0 | 0.0

| 7.275| -61.5 | 0.0 | -110.7 | 0.0 | -110.7 | -12.5 | -123.2 | 12.9 | 0.0 | 0.0

| 8.167| -81.3 | 0.0 | -209.3 | 0.0 | -209.3 | 0.0 | -209.3 | 12.5 | 0.0 | 0.0

| 8.970| -93.8 | 0.0 | -211.4 | 0.0 | -211.4 | 0.0 | -211.4 | 9.1 | 0.0 | 0.0

| 8.970| 0.0 | 0.0 | 211.4 | 0.0 | 211.4 | 0.0 | 211.4 | 9.1 | 0.0 | 0.0

| 9.020| 0.0 | 0.0 | 84.5 | 0.0 | 84.5 | 0.0 | 84.5 | 8.7 | 0.0 | 0.0

_______________________________________________________________________________________________________________________

Notes & Warnings

5 - Note: Design shear force, and/or torsion, and design limited to critical section near support.

7 - Note: The calculation of the shear strength of the concrete used the simplified method.

Transverse Steel (Stirrup) Design for Shear

___________________________________________________________________________________________________________

| | Required Shear Steel | Stirrup | Stirrup Spacing | Additional Long. Steel| Notes & |

| | Total | Torsion* | Provided | Provided | Required | for Torsion, Al | Warnings |

| x | (Av+2At)/s | At/s | Av+2At | s | s | Bottom | Top | |

| m | mm^2/mm | mm^2/mm | mm^2 | mm | mm | mm^2 | mm^2 | |

___________________________________________________________________________________________________________

| 0.000| 0.000 | 0.000 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 5 |

| 0.050| 0.000 | 0.000 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 5 |

| 0.050| 0.000 | 0.000 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 5 |

| 0.942| 0.000 | 0.000 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | |

| 1.834| 0.125 | 0.000 | 0.0 | 0.0 | 285.0 | 0.0 | 0.0 | 2 |

| 2.726| 0.000 | 0.000 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | |

| 3.618| 0.000 | 0.000 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | |

| 4.510| 0.000 | 0.000 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | |

| 5.491| 0.000 | 0.000 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | |

| 6.383| 0.000 | 0.000 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | |

| 7.275| 0.121 | 0.000 | 0.0 | 0.0 | 285.0 | 0.0 | 0.0 | 2 |

| 8.167| 0.000 | 0.000 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | |

| 8.970| 0.000 | 0.000 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 5 |

| 8.970| 0.000 | 0.000 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 5 |

| 9.020| 0.000 | 0.000 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 5 |

___________________________________________________________________________________________________________

Notes & Warnings

2 - Note: Amount of shear steel required represents minimum code requirements.

5 - Note: Design shear force limited to critical section near support.

Note: Additional long. steel in compression side of section has been reduced.

* Portion of the total stirrup area required to resist torsional shear flow (one leg around periphery).

Page 37 of 58

Page 38: 2015.08.31 - 153041-CN-01 Rev0

C4 FF HCS320 x 6.92m with 6-12.5strands.con

Concise Beam, Version 4.58f, Copyright 2002-2012 Black Mint Software, Inc.

Licensed to: 4113040214, United Precast Concrete LLC - OK

Project:

Problem:

Engineer: Engineering Dept

File: C4 FF HCS320 x 6.92m with 6-12.5strands.con Mon Aug 31 12:00:04 2015�

Company: United Precast Concret

Page 38 of 58

Page 39: 2015.08.31 - 153041-CN-01 Rev0

Shear Design Graph

Concise Beam, Version 4.58f, Copyright 2002-2012 Black Mint Software, Inc.

Licensed to: 4113040214, United Precast Concrete LLC - OK

Project:

Problem:

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File: C4 FF HCS320 x 6.92m with 6-12.5strands.con Mon Aug 31 12:00:26 2015�

Company: United Precast Concret

Distance From Left End of Beam - m

Sh

ea

r -

kN

Shear DesignShear Design

0.000 0.692 1.384 2.076 2.768 3.460 4.152 4.844 5.536 6.228 6.920

300

240

180

120

60

0

-60

-120

-180

-240

-300

Factored Design Shear, Vu

Total Strength Provided, ØVn

Minimum Strength Required

Concrete Strength Provided, ØVc

Critical Section for Shear Loading

Page 39 of 58

Page 40: 2015.08.31 - 153041-CN-01 Rev0

Flexural Design Graph

Concise Beam, Version 4.58f, Copyright 2002-2012 Black Mint Software, Inc.

Licensed to: 4113040214, United Precast Concrete LLC - OK

Project:

Problem:

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Distance From Left End of Beam - m

Mo

me

nt

- k

Nm

Flexural DesignFlexural Design

0.000 0.692 1.384 2.076 2.768 3.460 4.152 4.844 5.536 6.228 6.920

400

350

300

250

200

150

100

50

0

-50

-100

Factored Moment, Mu: +ve Bending

Design Strength, ØMn: +ve Bending

Factored Moment, Mu: -ve Bending

Design Strength, ØMn: -ve Bending

Page 40 of 58

Page 41: 2015.08.31 - 153041-CN-01 Rev0

Deflection Estimate on Final Supports Graph

Concise Beam, Version 4.58f, Copyright 2002-2012 Black Mint Software, Inc.

Licensed to: 4113040214, United Precast Concrete LLC - OK

Project:

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Distance From Left End of Beam - m

De

fle

cti

on

-

mm

Deflection Estimate on Final SupportsDeflection Estimate on Final Supports

0.000 0.692 1.384 2.076 2.768 3.460 4.152 4.844 5.536 6.228 6.920

8.000

7.000

6.000

5.000

4.000

3.000

2.000

1.000

0.000

-1.000

-2.000

Deflection @ Erection

Deflection On Completion

Final DL Deflection

Final DL + LL Deflection

Page 41 of 58

Page 42: 2015.08.31 - 153041-CN-01 Rev0

Summary Report

Concise Beam, Version 4.58f, Copyright 2002-2012 Black Mint Software, Inc.

Licensed to: 4113040214, United Precast Concrete LLC - OK

Project:

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1File: C4 FF HCS320 x 6.92m with 6-12.5strands.con

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Company: United Precast Concret

SUMMARY REPORT

Design Code Used: ACI 318-08

______________________________________________________________________________________________________________

CONCRETE MATERIAL PROPERTIES

Precast Beam Cast-in-Place Pour

___________________________ ___________________________

Concrete Density Wt = 2500 kg/m^3 Wt = 2500 kg/m^3

Compressive Strength f'c = 48.0 MPa f'c = 32.0 MPa

Modulus of Elasticity Ec = 37015 MPa Ec = 30222 MPa

Strength at Transfer f'c = 31.2 MPa

Modulus of Elast. at Transfer Ec = 29842 MPa

Strength at Lifting f'c = 31.2 MPa

Modulus of Elast. at Lifting Ec = 29842 MPa

Cement Content = 410 kg/m^3 Construction Schedule

Air Content = 5.00 % Age at Transfer = 0.75 days

Slump = 50.0 mm Age at Erection = 15 days

Aggregate Mix = 0.40 (fine to total aggregate ratio) Age at Cast-in-Place Pour = 25 days

Aggregate Size = 20.0 mm Age Cast-in-Place is Composite = 35 days

Basic Shrinkage Strain = 780.000E-6 Age Construction is Complete = 143 days

Curing Method = Moist

Relative Humidity in Service = 70 %

Ambient Temperature in Service = 20 deg C

______________________________________________________________________________________________________________

PRECAST BEAM LAYOUT

________________________________________________________________________________________________________________

| Segment/Length | Section Identification | Offset |

|No| From | To | Length | Folder | Section | Section | Z | Y |

| | m | m | m | Name | Name | Type | mm | mm |

________________________________________________________________________________________________________________

| 1| 0.000| 6.920| 6.920| Current Problem | HCUPC1200x320 | Unspecified | 0.0| 0.0|

________________________________________________________________________________________________________________

Span Length at Transfer = 6.520 m, Centre of Supports, Left @ 0.200 m, Right @ 6.720 m

Span Length in Service = 6.820 m, Centre of Supports, Left @ 0.050 m, Right @ 6.870 m

Total Beam Length = 6.920 m, Bearing Length, Left = 100.0 mm, Right = 100.0 mm

______________________________________________________________________________________________________________

CAST-IN-PLACE POUR LAYOUT

______________________________________________________________________________________________

| Segment/Length | Slab/Topping Parameters | Haunch Paramaters |Vertical|

|No| From | To | Length | Thick. | Width | Offset | Thick. | Width | Offset | Offset |

| | m | m | m | mm | mm | mm | mm | mm | mm | mm |

______________________________________________________________________________________________

| 1| 0.000| 6.920| 6.920| 60.0| 1200.0| 0.0| 0.0| 0.0| 0.0| 0.0|

______________________________________________________________________________________________

Beam is UNSHORED during the cast-in-place pour and superimposed dead load.

______________________________________________________________________________________________________________

GROSS PRECAST SECTION PROPERTIES (NON-COMPOSITE)

(based on Ec of the precast beam - transformed area of rebar and strand NOT included)

_______________________________________________________________________________________________________

|Seg.| Section Properties | Section| Section| Shear |Volume /| Section Moduli |

| No.| A | I | yb | Height | Width | Width | Surface| Sb | St |

| | mm^2 | mm^4 | mm | mm | mm | mm | mm | mm^3 | mm^3 |

_______________________________________________________________________________________________________

| 1| 194167 | 2.522E+9 | 161.0| 320.0| 1200.0| 284.0| 64.00| -15.665E+6 | 15.862E+6 |

_______________________________________________________________________________________________________

______________________________________________________________________________________________________________

GROSS COMPOSITE SECTION PROPERTIES

(based on Ec of the precast beam - transformed area of rebar and strand NOT included)

______________________________________________________________________________________________________

|Seg.| Section Properties | Section| Section Moduli |

| No.| Ac | Ic | yb | Height | Sb | St | Sbc | Stc |

| | mm^2 | mm^4 | mm | mm | mm^3 | mm^3 | mm^3 | mm^3 |

______________________________________________________________________________________________________

| 1| 252954 | 4.152E+9 | 204.9| 380.0| -20.259E+6 | 36.077E+6 | 36.077E+6 | 23.713E+6 |

Page 42 of 58

Page 43: 2015.08.31 - 153041-CN-01 Rev0

Summary Report

Concise Beam, Version 4.58f, Copyright 2002-2012 Black Mint Software, Inc.

Licensed to: 4113040214, United Precast Concrete LLC - OK

Project:

Problem:

2File: C4 FF HCS320 x 6.92m with 6-12.5strands.con

Engineer: Engineering Dept

Mon Aug 31 12:00:46 2015�

Company: United Precast Concret

______________________________________________________________________________________________________

Note: Sb & St = bottom and top of the precast beam, Sbc & Stc = bottom and top of the cast-in-place pour.

______________________________________________________________________________________________________________________

UNCRACKED SECTION PROPERTIES SUMMARY

_______________________________________________________________________________________________________________________

| | A: Net Precast Section | B: Transformed Precast Section | C: Transformed Precast Section |D: Transfo

| | at Transfer (based on Eci) | at Transfer (based on Eci) | in Service (based on Ec) | in Ser

| | (include rebar, deduct strand) | (include rebar and strand) | (include rebar and strand) | (includ

| x | A | I | yb | A | I | yb | A | I | yb | Ac

| m | mm^2 | mm^4 | mm | mm^2 | mm^4 | mm | mm^2 | mm^4 | mm | mm^2

_______________________________________________________________________________________________________________________

| 0.000| 193606 | 2.513E+9 | 161.4| 194170 | 2.522E+9 | 161.0| 194169 | 2.522E+9 | 161.0| 252956

| 0.050| 193606 | 2.513E+9 | 161.4| 194467 | 2.527E+9 | 160.8| 194399 | 2.526E+9 | 160.8| 253185

| 0.732| 193606 | 2.513E+9 | 161.4| 197272 | 2.571E+9 | 159.0| 196561 | 2.560E+9 | 159.5| 255348

| 1.414| 193606 | 2.513E+9 | 161.4| 197272 | 2.571E+9 | 159.0| 196561 | 2.560E+9 | 159.5| 255348

| 2.096| 193606 | 2.513E+9 | 161.4| 197272 | 2.571E+9 | 159.0| 196561 | 2.560E+9 | 159.5| 255348

| 2.778| 193606 | 2.513E+9 | 161.4| 197272 | 2.571E+9 | 159.0| 196561 | 2.560E+9 | 159.5| 255348

| 3.460| 193606 | 2.513E+9 | 161.4| 197272 | 2.571E+9 | 159.0| 196561 | 2.560E+9 | 159.5| 255348

| 4.210| 193606 | 2.513E+9 | 161.4| 197272 | 2.571E+9 | 159.0| 196561 | 2.560E+9 | 159.5| 255348

| 4.892| 193606 | 2.513E+9 | 161.4| 197272 | 2.571E+9 | 159.0| 196561 | 2.560E+9 | 159.5| 255348

| 5.574| 193606 | 2.513E+9 | 161.4| 197272 | 2.571E+9 | 159.0| 196561 | 2.560E+9 | 159.5| 255348

| 6.256| 193606 | 2.513E+9 | 161.4| 197272 | 2.571E+9 | 159.0| 196561 | 2.560E+9 | 159.5| 255348

| 6.870| 193606 | 2.513E+9 | 161.4| 194467 | 2.527E+9 | 160.8| 194399 | 2.526E+9 | 160.8| 253185

| 6.920| 193606 | 2.513E+9 | 161.4| 194170 | 2.522E+9 | 161.0| 194169 | 2.522E+9 | 161.0| 252956

_______________________________________________________________________________________________________________________

These section properties can used to calculate uncracked concrete stresses using the following guidelines.

- A: Net Precast Section at Transfer properties are used with the initial prestress after transfer (after elastic shor

- B: Transformed Precast Section at Transfer properties are used with the precast beam self-weight.

- C: Transformed Precast Section in Service properties are used with external loads applied to the non-composite preca

- D: Transformed Composite Section in Service properties are used with external loads applied to the composite precast

______________________________________________________________________________________________________________

PRESTRESSING STEEL TENDONS

__________________________________________________________________________________________________________

| | | | | | Offsets |End Offset & Type| Tendon | Jacking Force |

|ID|Qty| Grade |Type| Strand Size | x | y |Left **|Right **| Area | Pj | %fpu|

| | | MPa | * | | m | mm | m | m | mm^2 | kN | |

__________________________________________________________________________________________________________

| 1| 6| 1770| LRS| D12.5 | 0.000| 35.0| 0.000 B| 0.000 B| 561.00 | 600.7 | 0.60|

| | | | | | 6.920| 35.0| | | | | |

__________________________________________________________________________________________________________

note: * Type = LRS - Low-Relaxation Strand, SRS - Stress-Relieved Strand, PB - Plain Bar, DB - Deformed Bar

** End Types = B - Fully Bonded, D - Debonded, C - Cut, A - Anchored (fully developed)

Calculated Losses: Initial = 3.3%, Final = 11.2%

Maximum Total Prestress Forces: Pj(jacking) = 600.7 kN,

Pi(transfer) = 580.9 kN,

Pe(effective) = 533.3 kN @ x = 3.460 m,

See the "Development Length" text report for details of the strand transfer and development lengths

______________________________________________________________________________________________________________

PRECAST BEAM AND CAST-IN-PLACE POUR SELF-WEIGHT

____________________________________________________

| Segment/Length | Linear Weight |

| | From | To | Beam | Cast-in-Place |

|No.| m | m | kN/m | kN/m |

____________________________________________________

| 1| 0.000| 6.920| 4.7600 | 1.7651 |

____________________________________________________

______________________________________________________________________________________________________________

EXTERNALLY APPLIED LOADS

________________________________________________________________________________________________________________

| Load Case |Type| Label | Description | Distribution |

________________________________________________________________________________________________________________

|SDL AT | D |SDL (6kpa*1.2m) |Vertical: 7.2 kN/m full length |No Load Distribution|

|Live Load | L |LL (3.0kpa * 1.2m) |Vertical: 3.6 kN/m full length |No Load Distribution|

________________________________________________________________________________________________________________

Page 43 of 58

Page 44: 2015.08.31 - 153041-CN-01 Rev0

Summary Report

Concise Beam, Version 4.58f, Copyright 2002-2012 Black Mint Software, Inc.

Licensed to: 4113040214, United Precast Concrete LLC - OK

Project:

Problem:

3File: C4 FF HCS320 x 6.92m with 6-12.5strands.con

Engineer: Engineering Dept

Mon Aug 31 12:00:46 2015�

Company: United Precast Concret

Load Combinations

Factored Combination 1 = 1.40D + 1.40F

Factored Combination 2 = 1.20D + 1.60L + 0.50SRLr + 1.20F

Factored Combination 3 = 1.20D + 1.00L + 1.60SRLr

Factored Combination 4 = 1.20D + 1.60SRLr + 0.80W

Factored Combination 5 = 1.20D + 1.00L + 0.50SRLr + 1.60W

Factored Combination 6 = 1.20D + 1.00L + 0.50SRLr + 1.60W

Factored Combination 7 = 0.90D + 1.60W

Factored Combination 8 = 0.90D + 1.00E

______________________________________________________________________________________________________________

ANALYSIS RESULTS SUMMARY - IN SERVICE

__________________________________________________________________________________________

| | Total Unfactored Moments| Total Factored Effects |

| x | Total | Sustained | Shear | | Moment | | Torsion | |

| m | kNm | kNm | kN | [*]| kNm | [*]| kNm | [*]|

__________________________________________________________________________________________

| 0.000| 0.0 | 0.0 | 0.0 |[ 1]| 0.0 |[ 1]| 0.0 |[ 1]|

| 0.050| 0.0 | 0.0 | -1.1 |[ 2]| 0.0 |[ 2]| 0.0 |[ 1]|

| 0.050| 0.0 | 0.0 | 75.8 |[ 2]| 0.0 |[ 2]| 0.0 |[ 1]|

| 0.732| 36.2 | 28.7 | 60.6 |[ 2]| 46.5 |[ 2]| 0.0 |[ 1]|

| 1.414| 64.4 | 51.1 | 45.5 |[ 2]| 82.7 |[ 2]| 0.0 |[ 1]|

| 2.096| 84.6 | 67.0 | 30.3 |[ 2]| 108.5 |[ 2]| 0.0 |[ 1]|

| 2.778| 96.7 | 76.6 | 15.2 |[ 2]| 124.0 |[ 2]| 0.0 |[ 1]|

| 3.460| 100.7 | 79.8 | 0.0 |[ 1]| 129.2 |[ 2]| 0.0 |[ 1]|

| 4.210| 95.8 | 75.9 | -16.7 |[ 2]| 123.0 |[ 2]| 0.0 |[ 1]|

| 4.892| 82.9 | 65.7 | -31.8 |[ 2]| 106.4 |[ 2]| 0.0 |[ 1]|

| 5.574| 62.0 | 49.1 | -47.0 |[ 2]| 79.5 |[ 2]| 0.0 |[ 1]|

| 6.256| 33.0 | 26.1 | -62.2 |[ 2]| 42.3 |[ 2]| 0.0 |[ 1]|

| 6.870| 0.0 | 0.0 | -75.8 |[ 2]| 0.0 |[ 2]| 0.0 |[ 1]|

| 6.870| 0.0 | 0.0 | 1.1 |[ 2]| 0.0 |[ 2]| 0.0 |[ 1]|

| 6.920| 0.0 | 0.0 | 0.0 |[ 1]| 0.0 |[ 1]| 0.0 |[ 1]|

__________________________________________________________________________________________

* Critical ULS Load Combination

______________________________________________________________________________________________________________

SUPPORT REACTIONS (kN)

(+ve = upwards)

Unfactored Support Reactions

___________________________________________________________________________________________

| | In Service | During Lifting | During Transport |

| Load Case | Left | Right | Left | Right | Left | Right |

___________________________________________________________________________________________

|Beam Weight| 16.5 | 16.5 | 16.5 | 16.5 | 16.5 | 16.5 |

|SDL BT | 0.0 | 0.0 | | | | |

|CIP Weight | 6.1 | 6.1 | | | | |

|SDL AT | 24.9 | 24.9 | | | | |

|LL Sustain | 0.0 | 0.0 | | | | |

|Live Load | 12.5 | 12.5 | | | | |

|Roof Load | 0.0 | 0.0 | | | | |

|Fluid Wgt | 0.0 | 0.0 | | | | |

|Wind | 0.0 | 0.0 | | | | |

|Seismic | 0.0 | 0.0 | | | | |

___________________________________________________________________________________________

|SLS Max DL | 47.5 | 47.5 | | | | |

|SLS Min DL | 47.5 | 47.5 | | | | |

|SLS Max Sus| 47.5 | 47.5 | | | | |

|SLS Maximum| 59.9 | 59.9 | 16.5 | 16.5 | 16.5 | 16.5 |

___________________________________________________________________________________________

ULS Support Reactions

_________________________________________________

|Load Combo.| Left [*]| Right [*]|

_________________________________________________

|ULS Maximum| 76.9 [ 2]| 76.9 [ 2]|

|ULS Minimum| 0.0 [ 9]| 0.0 [ 9]|

_________________________________________________

* Critical Factored Load Combination

______________________________________________________________________________________________________________

CONCRETE STRESS RESULTS (UNCRACKED ANALYSIS)

(+ve = compression, -ve = tension)

Page 44 of 58

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Summary Report

Concise Beam, Version 4.58f, Copyright 2002-2012 Black Mint Software, Inc.

Licensed to: 4113040214, United Precast Concrete LLC - OK

Project:

Problem:

4File: C4 FF HCS320 x 6.92m with 6-12.5strands.con

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Mon Aug 31 12:00:46 2015�

Company: United Precast Concret

_________________________________________________________________

| | x | Stress | Limit | Overstress|

| Location | m | MPa | MPa | Notice |

_________________________________________________________________

|STRESSES AT TRANSFER |

|Critical Compression |

| Top of Beam | 0.000| 0.00 | 21.84 | 0%|

| Bottom of Beam | 0.596| 7.32 | 21.84 | 0%|

| | Longitudinal Tensile Rebar Needed (mm^2)

|Critical Tension | Required Provided Additional

| Top of Beam | 0.596| -1.27 | -3.48 | 0%|

| Bottom of Beam | 0.000| 0.00 | -3.48 | 0%|

_________________________________________________________________

|STRESSES DURING INITIAL LIFTING (including dynamic allowance) |

|Critical Compression |

| Top of Beam | 0.000| 0.00 | 21.84 | 0%|

| Bottom of Beam | 0.596| 7.42 | 21.84 | 0%|

| | Longitudinal Tensile Rebar Needed (mm^2)

|Critical Tension | Required Provided Additional

| Top of Beam | 0.596| -1.37 | -3.48 | 0%|

| Bottom of Beam | 0.000| 0.00 | -3.48 | 0%|

_________________________________________________________________

|STRESSES DURING ERECTION LIFTING (including dynamic allowance) |

|Critical Compression |

| Top of Beam | 0.000| 0.00 | 33.60 | 0%|

| Bottom of Beam | 0.596| 7.01 | 33.60 | 0%|

| | Longitudinal Tensile Rebar Needed (mm^2)

|Critical Tension | Required Provided Additional

| Top of Beam | 0.596| -1.28 | -4.31 | 0%|

| Bottom of Beam | 0.000| 0.00 | -4.31 | 0%|

_________________________________________________________________

|STRESSES IN SERVICE |

|Critical Compression |

| Top of Beam | 3.460| 2.61 | 28.80 | 0%|

| Bottom of Beam | 0.596| 5.26 | 28.80 | 0%|

| Top of CIP Pour| 3.460| 2.15 | 19.20 | 0%|

|Critical Tension |

| Top of Beam | 0.527| -0.31 | -6.90 | 0%| Class U member - not cracked

| Bottom of Beam | 0.000| 0.00 | -6.90 | 0%| Class U member - not cracked

| Top of CIP Pour| 0.050| 0.00 | -3.52 | 0%|

_________________________________________________________________

|STRESSES IN SERVICE (SUSTAINED LOADS ONLY) |

|Critical Compression |

| Top of Beam | 3.460| 2.03 | 21.60 | 0%|

| Bottom of Beam | 0.596| 5.56 | 21.60 | 0%|

_________________________________________________________________

At Transfer During Lifting In Service

Modulus of Rupture, fr = -3.48 MPa -3.48 MPa -4.31 MPa

Strength Required for Transfer, f'c = 10.5 MPa (f'c specified = 31 MPa)

Strength Required for Initial Lifting, f'c = 10.6 MPa (f'c assumed = 31 MPa)

______________________________________________________________________________________________________________

DISTRIBUTION OF FLEXURAL STEEL & CRACKING

(+ve = tension, -ve = compression)

Beam not cracked, cracking is controlled, or crack depth is less than concrete cover.

______________________________________________________________________________________________________________________

DEFLECTIONS AT ALL STAGES

(-ve = deflection down, +ve = camber up)

Design Code Used: ACI 318-08

THESE DEFLECTIONS ARE BASED ON MIDSPAN PROPERTIES THROUGHOUT THE LENGTH OF THE BEAM.

_____________________________________________________________________________________________________________

| | Net Deflection | Change in Deflection |

|Location| Net @ | Net @ | Net @ | Net DL | Net Total| DL growth| LL | Span/Deflection |

| x | Transfer | Erection |Completion| @ Final | @ Final | + LL | alone | DL growth| LL |

| m | mm | mm | mm | mm | mm | mm | mm | + LL | alone |

| Column | A | B | C | D | E | E - C | E - D | | |

_____________________________________________________________________________________________________________

| 0.000| -0.4 | -0.2 | -0.1 | -0.1 | -0.1 | 0.0 | 0.0 | 2426 | 6568 |

| 0.050| -0.3 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0 | 0 |

| 0.732| 1.0 | 2.6 | 1.9 | 1.5 | 1.3 | -0.6 | -0.2 | 12053 | 33480 |

Page 45 of 58

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Summary Report

Concise Beam, Version 4.58f, Copyright 2002-2012 Black Mint Software, Inc.

Licensed to: 4113040214, United Precast Concrete LLC - OK

Project:

Problem:

5File: C4 FF HCS320 x 6.92m with 6-12.5strands.con

Engineer: Engineering Dept

Mon Aug 31 12:00:46 2015�

Company: United Precast Concret

| 1.414| 2.1 | 4.6 | 3.1 | 2.4 | 2.0 | -1.1 | -0.4 | 6143 | 17695 |

| 2.096| 2.9 | 5.9 | 3.9 | 2.9 | 2.3 | -1.6 | -0.5 | 4377 | 12925 |

| 2.778| 3.3 | 6.7 | 4.3 | 3.1 | 2.4 | -1.9 | -0.6 | 3686 | 11035 |

| 3.460| 3.5 | 6.9 | 4.4 | 3.1 | 2.5 | -2.0 | -0.6 | 3494 | 10509 |

| 4.210| 3.3 | 6.6 | 4.3 | 3.1 | 2.4 | -1.8 | -0.6 | 3728 | 11152 |

| 4.892| 2.8 | 5.8 | 3.8 | 2.8 | 2.3 | -1.5 | -0.5 | 4488 | 13227 |

| 5.574| 2.0 | 4.4 | 3.0 | 2.3 | 2.0 | -1.1 | -0.4 | 6440 | 18494 |

| 6.256| 0.9 | 2.4 | 1.7 | 1.4 | 1.2 | -0.5 | -0.2 | 13397 | 37066 |

| 6.870| -0.3 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0 | 0 |

| 6.920| -0.4 | -0.2 | -0.1 | -0.1 | -0.1 | 0.0 | 0.0 | 2426 | 6568 |

_____________________________________________________________________________________________________________

Col. A: Net deflection at transfer includes prestressing and beam weight on temporary supports.

Col. B: Net deflection at erection includes prestressing and all dead loads applied before the cast-in-place

pour plus long-time deflection growth of the prestressing and beam weight up to erection

Col. C: Net deflection at completion of construction includes prestressing and all dead loads

plus long-time deflection growth of the prestressing and dead load up to completion

Col. D: Net DL deflection at final includes prestressing, all dead loads, and sustained live loads,.

plus long-time deflection growth.

Col. E: Net total deflection at final includes prestressing, all dead loads, and all live loads,

plus long-time deflection growth.

Live load includes roof load, and fluid weight. Wind and earthquake are not included.

Deflection growth is estimated by use of the PCI suggested multipliers - see the Deflection Multipliers report.

Span/Deflection Limits: DL growth + LL = L / 480 for non-structural attachments

L / 240 otherwise

LL alone = L / 360 for floors

L / 180 for roofs

______________________________________________________________________________________________________________________

FLEXURAL DESIGN CHECK

Design Code Used: ACI 318-08

β used: for precast beam = 0.702 , for cast-in-place pour = 0.818

_________________________________________________________________________________________________________

| | Factored | Design | Minimum * | Depth in | Net Tensile| Flexure | Ø | Notes & |

| | Moment | Strength | Required | Compression| Strain | Class | | Warnings |

| x | Mu | ØMn | Strength | c | | | | |

| m | kNm | kNm | kNm | mm | | | | |

_________________________________________________________________________________________________________

| 0.000| 0.0 | 0.1 | 0.0 | 0.9 | 1.0865|Tension | 0.75| |

| 0.050| 0.0 | -1.2 | 0.0 | 1.3 | 0.0810|Tension | 0.75| |

| 0.732| 46.5 | 147.1 | 93.0 | 21.1 | 0.0459|Tension | 0.77| |

| 1.414| 82.7 | 217.0 | 165.4 | 29.3 | 0.0324|Tension | 0.83| |

| 2.096| 108.5 | 293.8 | 217.1 | 37.0 | 0.0249|Tension | 0.90| |

| 2.778| 124.0 | 293.8 | 248.1 | 37.0 | 0.0249|Tension | 0.90| |

| 3.460| 129.2 | 293.8 | 258.4 | 37.0 | 0.0249|Tension | 0.90| |

| 4.210| 123.0 | 293.8 | 245.9 | 37.0 | 0.0249|Tension | 0.90| |

| 4.892| 106.4 | 286.7 | 212.8 | 36.1 | 0.0256|Tension | 0.89| |

| 5.574| 79.5 | 209.6 | 159.1 | 28.1 | 0.0338|Tension | 0.83| |

| 6.256| 42.3 | 140.5 | 84.6 | 20.6 | 0.0474|Tension | 0.76| |

| 6.870| 0.0 | -1.2 | 0.0 | 1.3 | 0.0810|Tension | 0.75| |

| 6.920| 0.0 | 0.1 | 0.0 | 0.9 | 1.0865|Tension | 0.75| |

_________________________________________________________________________________________________________

Points of Maximum and Minimum Factored Moment

| 3.460| 129.2 | 293.8 | 258.4 | 37.0 | 0.0249|Tension | 0.90| |

| 0.050| 0.0 | -1.2 | 0.0 | 1.3 | 0.0810|Tension | 0.75| |

Points of Maximum Ratio of Factored Moment to Design Strength

| 3.460| 129.2 | 293.8 | 258.4 | 37.0 | 0.0249|Tension | 0.90| |

| 0.050| 0.0 | -1.2 | 0.0 | 1.3 | 0.0810|Tension | 0.75| |

_________________________________________________________________________________________________________

* Minimum Strength Only Checked at Points of Maximum and Minimum Moment.

______________________________________________________________________________________________________________________

SHEAR/TORSION DESIGN CHECK

Design Code Used: ACI 318-08

Shear and Torsion Design Forces

_______________________________________________________________________________________________________________________

| | Design | Prestress| Strength | Strength Provided | Min. Strength Req'd | Threshold| Design | Torsion

| | Shear | Component| Concrete | Stirrups | Total | Stirrups | Total | Torsion | Torsion | Provided

| x | Vu | Vp | ØVc | ØVs | ØVn | ØVs | ØVn | ØTcr/4 | Tu | ØTn

| m | kN | kN | kN | kN | kN | kN | kN | kNm | kNm | kNm

_______________________________________________________________________________________________________________________

Page 46 of 58

Page 47: 2015.08.31 - 153041-CN-01 Rev0

Summary Report

Concise Beam, Version 4.58f, Copyright 2002-2012 Black Mint Software, Inc.

Licensed to: 4113040214, United Precast Concrete LLC - OK

Project:

Problem:

6File: C4 FF HCS320 x 6.92m with 6-12.5strands.con

Engineer: Engineering Dept

Mon Aug 31 12:00:46 2015�

Company: United Precast Concret

| 0.000| 0.0 | 0.0 | -84.5 | 0.0 | -84.5 | 0.0 | -84.5 | 8.7 | 0.0 | 0.0

| 0.050| 0.0 | 0.0 | 211.4 | 0.0 | 211.4 | 0.0 | 211.4 | 9.0 | 0.0 | 0.0

| 0.050| 70.5 | 0.0 | 211.4 | 0.0 | 211.4 | 0.0 | 211.4 | 9.0 | 0.0 | 0.0

| 0.732| 60.6 | 0.0 | 194.7 | 0.0 | 194.7 | 0.0 | 194.7 | 11.6 | 0.0 | 0.0

| 1.414| 45.5 | 0.0 | 111.7 | 0.0 | 111.7 | 0.0 | 111.7 | 11.9 | 0.0 | 0.0

| 2.096| 30.3 | 0.0 | 84.5 | 0.0 | 84.5 | 0.0 | 84.5 | 12.1 | 0.0 | 0.0

| 2.778| 15.2 | 0.0 | 84.5 | 0.0 | 84.5 | 0.0 | 84.5 | 12.2 | 0.0 | 0.0

| 3.460| 0.0 | 0.0 | 84.5 | 0.0 | 84.5 | 0.0 | 84.5 | 12.3 | 0.0 | 0.0

| 4.210| -16.7 | 0.0 | -84.5 | 0.0 | -84.5 | 0.0 | -84.5 | 12.2 | 0.0 | 0.0

| 4.892| -31.8 | 0.0 | -84.5 | 0.0 | -84.5 | 0.0 | -84.5 | 12.1 | 0.0 | 0.0

| 5.574| -47.0 | 0.0 | -118.1 | 0.0 | -118.1 | 0.0 | -118.1 | 11.9 | 0.0 | 0.0

| 6.256| -62.2 | 0.0 | -205.1 | 0.0 | -205.1 | 0.0 | -205.1 | 11.6 | 0.0 | 0.0

| 6.870| -70.5 | 0.0 | -211.4 | 0.0 | -211.4 | 0.0 | -211.4 | 9.0 | 0.0 | 0.0

| 6.870| 0.0 | 0.0 | 211.4 | 0.0 | 211.4 | 0.0 | 211.4 | 9.0 | 0.0 | 0.0

| 6.920| 0.0 | 0.0 | 84.5 | 0.0 | 84.5 | 0.0 | 84.5 | 8.7 | 0.0 | 0.0

_______________________________________________________________________________________________________________________

Notes & Warnings

5 - Note: Design shear force, and/or torsion, and design limited to critical section near support.

7 - Note: The calculation of the shear strength of the concrete used the simplified method.

Transverse Steel (Stirrup) Design for Shear

___________________________________________________________________________________________________________

| | Required Shear Steel | Stirrup | Stirrup Spacing | Additional Long. Steel| Notes & |

| | Total | Torsion* | Provided | Provided | Required | for Torsion, Al | Warnings |

| x | (Av+2At)/s | At/s | Av+2At | s | s | Bottom | Top | |

| m | mm^2/mm | mm^2/mm | mm^2 | mm | mm | mm^2 | mm^2 | |

___________________________________________________________________________________________________________

| 0.000| 0.000 | 0.000 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 5 |

| 0.050| 0.000 | 0.000 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 5 |

| 0.050| 0.000 | 0.000 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 5 |

| 0.732| 0.000 | 0.000 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | |

| 1.414| 0.000 | 0.000 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | |

| 2.096| 0.000 | 0.000 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | |

| 2.778| 0.000 | 0.000 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | |

| 3.460| 0.000 | 0.000 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | |

| 4.210| 0.000 | 0.000 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | |

| 4.892| 0.000 | 0.000 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | |

| 5.574| 0.000 | 0.000 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | |

| 6.256| 0.000 | 0.000 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | |

| 6.870| 0.000 | 0.000 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 5 |

| 6.870| 0.000 | 0.000 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 5 |

| 6.920| 0.000 | 0.000 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 5 |

___________________________________________________________________________________________________________

Notes & Warnings

5 - Note: Design shear force limited to critical section near support.

Note: Additional long. steel in compression side of section has been reduced.

* Portion of the total stirrup area required to resist torsional shear flow (one leg around periphery).

Page 47 of 58

Page 48: 2015.08.31 - 153041-CN-01 Rev0

Page 48 of 58

adf
Text Box
CASE 5: HCS320 x 9.3m w/ 8-12.5dia. strands SDL = 6 kPa LL = 2.0 kPa
adf
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Polygonal Line
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ROOF HCS LAYOUT
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C5 RF HCS320 x 9.3m with 8-12.5strands.con

Concise Beam, Version 4.58f, Copyright 2002-2012 Black Mint Software, Inc.

Licensed to: 4113040214, United Precast Concrete LLC - OK

Project:

Problem:

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Shear Design Graph

Concise Beam, Version 4.58f, Copyright 2002-2012 Black Mint Software, Inc.

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File: C5 RF HCS320 x 9.3m with 8-12.5strands.con Mon Aug 31 13:42:11 2015�

Company: United Precast Concret

Distance From Left End of Beam - m

Sh

ea

r -

kN

Shear DesignShear Design

0.000 0.930 1.860 2.790 3.720 4.650 5.580 6.510 7.440 8.370 9.300

300

240

180

120

60

0

-60

-120

-180

-240

-300

Factored Design Shear, Vu

Total Strength Provided, ØVn

Minimum Strength Required

Concrete Strength Provided, ØVc

Critical Section for Shear Loading

Page 50 of 58

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Flexural Design Graph

Concise Beam, Version 4.58f, Copyright 2002-2012 Black Mint Software, Inc.

Licensed to: 4113040214, United Precast Concrete LLC - OK

Project:

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File: C5 RF HCS320 x 9.3m with 8-12.5strands.con Mon Aug 31 13:27:30 2015�

Company: United Precast Concret

Distance From Left End of Beam - m

Mo

me

nt

- k

Nm

Flexural DesignFlexural Design

0.000 0.930 1.860 2.790 3.720 4.650 5.580 6.510 7.440 8.370 9.300

480

420

360

300

240

180

120

60

0

-60

-120

Factored Moment, Mu: +ve Bending

Design Strength, ØMn: +ve Bending

Factored Moment, Mu: -ve Bending

Design Strength, ØMn: -ve Bending

Page 51 of 58

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Deflection Estimate on Final Supports Graph

Concise Beam, Version 4.58f, Copyright 2002-2012 Black Mint Software, Inc.

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Distance From Left End of Beam - m

De

fle

cti

on

-

mm

Deflection Estimate on Final SupportsDeflection Estimate on Final Supports

0.000 0.930 1.860 2.790 3.720 4.650 5.580 6.510 7.440 8.370 9.300

16.00

14.00

12.00

10.00

8.00

6.00

4.00

2.00

0.00

-2.00

-4.00

Deflection @ Erection

Deflection On Completion

Final DL Deflection

Final DL + LL Deflection

Page 52 of 58

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Summary Report

Concise Beam, Version 4.58f, Copyright 2002-2012 Black Mint Software, Inc.

Licensed to: 4113040214, United Precast Concrete LLC - OK

Project:

Problem:

1File: C5 RF HCS320 x 9.3m with 8-12.5strands.con

Engineer: Engineering Dept

Mon Aug 31 13:42:47 2015�

Company: United Precast Concret

SUMMARY REPORT

Design Code Used: ACI 318-08

______________________________________________________________________________________________________________

CONCRETE MATERIAL PROPERTIES

Precast Beam Cast-in-Place Pour

___________________________ ___________________________

Concrete Density Wt = 2500 kg/m^3 Wt = 2500 kg/m^3

Compressive Strength f'c = 48.0 MPa f'c = 32.0 MPa

Modulus of Elasticity Ec = 37015 MPa Ec = 30222 MPa

Strength at Transfer f'c = 31.2 MPa

Modulus of Elast. at Transfer Ec = 29842 MPa

Strength at Lifting f'c = 31.2 MPa

Modulus of Elast. at Lifting Ec = 29842 MPa

Cement Content = 410 kg/m^3 Construction Schedule

Air Content = 5.00 % Age at Transfer = 0.75 days

Slump = 50.0 mm Age at Erection = 15 days

Aggregate Mix = 0.40 (fine to total aggregate ratio) Age at Cast-in-Place Pour = 25 days

Aggregate Size = 20.0 mm Age Cast-in-Place is Composite = 35 days

Basic Shrinkage Strain = 780.000E-6 Age Construction is Complete = 143 days

Curing Method = Moist

Relative Humidity in Service = 70 %

Ambient Temperature in Service = 20 deg C

______________________________________________________________________________________________________________

PRECAST BEAM LAYOUT

________________________________________________________________________________________________________________

| Segment/Length | Section Identification | Offset |

|No| From | To | Length | Folder | Section | Section | Z | Y |

| | m | m | m | Name | Name | Type | mm | mm |

________________________________________________________________________________________________________________

| 1| 0.000| 9.300| 9.300| Current Problem | HCUPC1200x320 | Unspecified | 0.0| 0.0|

________________________________________________________________________________________________________________

Span Length at Transfer = 8.900 m, Centre of Supports, Left @ 0.200 m, Right @ 9.100 m

Span Length in Service = 9.200 m, Centre of Supports, Left @ 0.050 m, Right @ 9.250 m

Total Beam Length = 9.300 m, Bearing Length, Left = 100.0 mm, Right = 100.0 mm

______________________________________________________________________________________________________________

CAST-IN-PLACE POUR LAYOUT

______________________________________________________________________________________________

| Segment/Length | Slab/Topping Parameters | Haunch Paramaters |Vertical|

|No| From | To | Length | Thick. | Width | Offset | Thick. | Width | Offset | Offset |

| | m | m | m | mm | mm | mm | mm | mm | mm | mm |

______________________________________________________________________________________________

| 1| 0.000| 9.300| 9.300| 60.0| 1200.0| 0.0| 0.0| 0.0| 0.0| 0.0|

______________________________________________________________________________________________

Beam is UNSHORED during the cast-in-place pour and superimposed dead load.

______________________________________________________________________________________________________________

GROSS PRECAST SECTION PROPERTIES (NON-COMPOSITE)

(based on Ec of the precast beam - transformed area of rebar and strand NOT included)

_______________________________________________________________________________________________________

|Seg.| Section Properties | Section| Section| Shear |Volume /| Section Moduli |

| No.| A | I | yb | Height | Width | Width | Surface| Sb | St |

| | mm^2 | mm^4 | mm | mm | mm | mm | mm | mm^3 | mm^3 |

_______________________________________________________________________________________________________

| 1| 194167 | 2.522E+9 | 161.0| 320.0| 1200.0| 284.0| 64.00| -15.665E+6 | 15.862E+6 |

_______________________________________________________________________________________________________

______________________________________________________________________________________________________________

GROSS COMPOSITE SECTION PROPERTIES

(based on Ec of the precast beam - transformed area of rebar and strand NOT included)

______________________________________________________________________________________________________

|Seg.| Section Properties | Section| Section Moduli |

| No.| Ac | Ic | yb | Height | Sb | St | Sbc | Stc |

| | mm^2 | mm^4 | mm | mm | mm^3 | mm^3 | mm^3 | mm^3 |

______________________________________________________________________________________________________

| 1| 252954 | 4.152E+9 | 204.9| 380.0| -20.259E+6 | 36.077E+6 | 36.077E+6 | 23.713E+6 |

Page 53 of 58

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Summary Report

Concise Beam, Version 4.58f, Copyright 2002-2012 Black Mint Software, Inc.

Licensed to: 4113040214, United Precast Concrete LLC - OK

Project:

Problem:

2File: C5 RF HCS320 x 9.3m with 8-12.5strands.con

Engineer: Engineering Dept

Mon Aug 31 13:42:47 2015�

Company: United Precast Concret

______________________________________________________________________________________________________

Note: Sb & St = bottom and top of the precast beam, Sbc & Stc = bottom and top of the cast-in-place pour.

______________________________________________________________________________________________________________________

UNCRACKED SECTION PROPERTIES SUMMARY

_______________________________________________________________________________________________________________________

| | A: Net Precast Section | B: Transformed Precast Section | C: Transformed Precast Section |D: Transfo

| | at Transfer (based on Eci) | at Transfer (based on Eci) | in Service (based on Ec) | in Ser

| | (include rebar, deduct strand) | (include rebar and strand) | (include rebar and strand) | (includ

| x | A | I | yb | A | I | yb | A | I | yb | Ac

| m | mm^2 | mm^4 | mm | mm^2 | mm^4 | mm | mm^2 | mm^4 | mm | mm^2

_______________________________________________________________________________________________________________________

| 0.000| 193419 | 2.510E+9 | 161.5| 194171 | 2.522E+9 | 161.0| 194170 | 2.522E+9 | 161.0| 252957

| 0.050| 193419 | 2.510E+9 | 161.5| 194567 | 2.528E+9 | 160.7| 194476 | 2.527E+9 | 160.8| 253262

| 0.970| 193419 | 2.510E+9 | 161.5| 198307 | 2.586E+9 | 158.4| 197360 | 2.572E+9 | 159.0| 256146

| 1.890| 193419 | 2.510E+9 | 161.5| 198307 | 2.586E+9 | 158.4| 197360 | 2.572E+9 | 159.0| 256146

| 2.810| 193419 | 2.510E+9 | 161.5| 198307 | 2.586E+9 | 158.4| 197360 | 2.572E+9 | 159.0| 256146

| 3.730| 193419 | 2.510E+9 | 161.5| 198307 | 2.586E+9 | 158.4| 197360 | 2.572E+9 | 159.0| 256146

| 4.650| 193419 | 2.510E+9 | 161.5| 198307 | 2.586E+9 | 158.4| 197360 | 2.572E+9 | 159.0| 256146

| 5.662| 193419 | 2.510E+9 | 161.5| 198307 | 2.586E+9 | 158.4| 197360 | 2.572E+9 | 159.0| 256146

| 6.582| 193419 | 2.510E+9 | 161.5| 198307 | 2.586E+9 | 158.4| 197360 | 2.572E+9 | 159.0| 256146

| 7.502| 193419 | 2.510E+9 | 161.5| 198307 | 2.586E+9 | 158.4| 197360 | 2.572E+9 | 159.0| 256146

| 8.422| 193419 | 2.510E+9 | 161.5| 198307 | 2.586E+9 | 158.4| 197360 | 2.572E+9 | 159.0| 256146

| 9.250| 193419 | 2.510E+9 | 161.5| 194567 | 2.528E+9 | 160.7| 194476 | 2.527E+9 | 160.8| 253262

| 9.300| 193419 | 2.510E+9 | 161.5| 194171 | 2.522E+9 | 161.0| 194170 | 2.522E+9 | 161.0| 252957

_______________________________________________________________________________________________________________________

These section properties can used to calculate uncracked concrete stresses using the following guidelines.

- A: Net Precast Section at Transfer properties are used with the initial prestress after transfer (after elastic shor

- B: Transformed Precast Section at Transfer properties are used with the precast beam self-weight.

- C: Transformed Precast Section in Service properties are used with external loads applied to the non-composite preca

- D: Transformed Composite Section in Service properties are used with external loads applied to the composite precast

______________________________________________________________________________________________________________

PRESTRESSING STEEL TENDONS

__________________________________________________________________________________________________________

| | | | | | Offsets |End Offset & Type| Tendon | Jacking Force |

|ID|Qty| Grade |Type| Strand Size | x | y |Left **|Right **| Area | Pj | %fpu|

| | | MPa | * | | m | mm | m | m | mm^2 | kN | |

__________________________________________________________________________________________________________

| 1| 8| 1770| LRS| D12.5 | 0.000| 35.0| 0.000 B| 0.000 B| 748.00 | 801.0 | 0.60|

| | | | | | 9.300| 35.0| | | | | |

__________________________________________________________________________________________________________

note: * Type = LRS - Low-Relaxation Strand, SRS - Stress-Relieved Strand, PB - Plain Bar, DB - Deformed Bar

** End Types = B - Fully Bonded, D - Debonded, C - Cut, A - Anchored (fully developed)

Calculated Losses: Initial = 4.0%, Final = 12.0%

Maximum Total Prestress Forces: Pj(jacking) = 801.0 kN,

Pi(transfer) = 769.2 kN,

Pe(effective) = 705.2 kN @ x = 4.650 m,

See the "Development Length" text report for details of the strand transfer and development lengths

______________________________________________________________________________________________________________

PRECAST BEAM AND CAST-IN-PLACE POUR SELF-WEIGHT

____________________________________________________

| Segment/Length | Linear Weight |

| | From | To | Beam | Cast-in-Place |

|No.| m | m | kN/m | kN/m |

____________________________________________________

| 1| 0.000| 9.300| 4.7600 | 1.7651 |

____________________________________________________

______________________________________________________________________________________________________________

EXTERNALLY APPLIED LOADS

________________________________________________________________________________________________________________

| Load Case |Type| Label | Description | Distribution |

________________________________________________________________________________________________________________

|SDL AT | D |SDL (4.5kpa*1.2m) |Vertical: 5.4 kN/m full length |No Load Distribution|

|Live Load | L |LL (2.0kpa * 1.2m) |Vertical: 2.4 kN/m full length |No Load Distribution|

________________________________________________________________________________________________________________

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Summary Report

Concise Beam, Version 4.58f, Copyright 2002-2012 Black Mint Software, Inc.

Licensed to: 4113040214, United Precast Concrete LLC - OK

Project:

Problem:

3File: C5 RF HCS320 x 9.3m with 8-12.5strands.con

Engineer: Engineering Dept

Mon Aug 31 13:42:47 2015�

Company: United Precast Concret

Load Combinations

Factored Combination 1 = 1.40D + 1.40F

Factored Combination 2 = 1.20D + 1.60L + 0.50SRLr + 1.20F

Factored Combination 3 = 1.20D + 1.00L + 1.60SRLr

Factored Combination 4 = 1.20D + 1.60SRLr + 0.80W

Factored Combination 5 = 1.20D + 1.00L + 0.50SRLr + 1.60W

Factored Combination 6 = 1.20D + 1.00L + 0.50SRLr + 1.60W

Factored Combination 7 = 0.90D + 1.60W

Factored Combination 8 = 0.90D + 1.00E

______________________________________________________________________________________________________________

ANALYSIS RESULTS SUMMARY - IN SERVICE

__________________________________________________________________________________________

| | Total Unfactored Moments| Total Factored Effects |

| x | Total | Sustained | Shear | | Moment | | Torsion | |

| m | kNm | kNm | kN | [*]| kNm | [*]| kNm | [*]|

__________________________________________________________________________________________

| 0.000| 0.0 | 0.0 | 0.0 |[ 1]| 0.0 |[ 1]| 0.0 |[ 1]|

| 0.050| 0.0 | 0.0 | -0.9 |[ 2]| 0.0 |[ 2]| 0.0 |[ 1]|

| 0.050| 0.0 | 0.0 | 83.5 |[ 2]| 0.0 |[ 2]| 0.0 |[ 1]|

| 0.970| 54.5 | 45.4 | 66.8 |[ 2]| 69.1 |[ 2]| 0.0 |[ 1]|

| 1.890| 97.0 | 80.7 | 50.1 |[ 2]| 122.9 |[ 2]| 0.0 |[ 1]|

| 2.810| 127.3 | 106.0 | 33.4 |[ 2]| 161.3 |[ 2]| 0.0 |[ 1]|

| 3.730| 145.5 | 121.1 | 16.7 |[ 2]| 184.3 |[ 2]| 0.0 |[ 1]|

| 4.650| 151.5 | 126.2 | 0.0 |[ 1]| 192.0 |[ 2]| 0.0 |[ 1]|

| 5.662| 144.2 | 120.0 | -18.4 |[ 2]| 182.7 |[ 2]| 0.0 |[ 1]|

| 6.582| 124.8 | 103.9 | -35.1 |[ 2]| 158.1 |[ 2]| 0.0 |[ 1]|

| 7.502| 93.3 | 77.7 | -51.8 |[ 2]| 118.2 |[ 2]| 0.0 |[ 1]|

| 8.422| 49.6 | 41.3 | -68.5 |[ 2]| 62.9 |[ 2]| 0.0 |[ 1]|

| 9.250| 0.0 | 0.0 | -83.5 |[ 2]| 0.0 |[ 2]| 0.0 |[ 1]|

| 9.250| 0.0 | 0.0 | 0.9 |[ 2]| 0.0 |[ 2]| 0.0 |[ 1]|

| 9.300| 0.0 | 0.0 | 0.0 |[ 1]| 0.0 |[ 1]| 0.0 |[ 1]|

__________________________________________________________________________________________

* Critical ULS Load Combination

______________________________________________________________________________________________________________

SUPPORT REACTIONS (kN)

(+ve = upwards)

Unfactored Support Reactions

___________________________________________________________________________________________

| | In Service | During Lifting | During Transport |

| Load Case | Left | Right | Left | Right | Left | Right |

___________________________________________________________________________________________

|Beam Weight| 22.1 | 22.1 | 22.1 | 22.1 | 22.1 | 22.1 |

|SDL BT | 0.0 | 0.0 | | | | |

|CIP Weight | 8.2 | 8.2 | | | | |

|SDL AT | 25.1 | 25.1 | | | | |

|LL Sustain | 0.0 | 0.0 | | | | |

|Live Load | 11.2 | 11.2 | | | | |

|Roof Load | 0.0 | 0.0 | | | | |

|Fluid Wgt | 0.0 | 0.0 | | | | |

|Wind | 0.0 | 0.0 | | | | |

|Seismic | 0.0 | 0.0 | | | | |

___________________________________________________________________________________________

|SLS Max DL | 55.5 | 55.5 | | | | |

|SLS Min DL | 55.5 | 55.5 | | | | |

|SLS Max Sus| 55.5 | 55.5 | | | | |

|SLS Maximum| 66.6 | 66.6 | 22.1 | 22.1 | 22.1 | 22.1 |

___________________________________________________________________________________________

ULS Support Reactions

_________________________________________________

|Load Combo.| Left [*]| Right [*]|

_________________________________________________

|ULS Maximum| 84.4 [ 2]| 84.4 [ 2]|

|ULS Minimum| 0.0 [ 9]| 0.0 [ 9]|

_________________________________________________

* Critical Factored Load Combination

______________________________________________________________________________________________________________

CONCRETE STRESS RESULTS (UNCRACKED ANALYSIS)

(+ve = compression, -ve = tension)

Page 55 of 58

Page 56: 2015.08.31 - 153041-CN-01 Rev0

Summary Report

Concise Beam, Version 4.58f, Copyright 2002-2012 Black Mint Software, Inc.

Licensed to: 4113040214, United Precast Concrete LLC - OK

Project:

Problem:

4File: C5 RF HCS320 x 9.3m with 8-12.5strands.con

Engineer: Engineering Dept

Mon Aug 31 13:42:47 2015�

Company: United Precast Concret

_________________________________________________________________

| | x | Stress | Limit | Overstress|

| Location | m | MPa | MPa | Notice |

_________________________________________________________________

|STRESSES AT TRANSFER |

|Critical Compression |

| Top of Beam | 4.650| 0.77 | 21.84 | 0%|

| Bottom of Beam | 0.602| 9.62 | 21.84 | 0%|

| | Longitudinal Tensile Rebar Needed (mm^2)

|Critical Tension | Required Provided Additional

| Top of Beam | 0.510| -1.66 | -3.48 | 0%|

| Bottom of Beam | 0.000| 0.01 | -3.48 | 0%|

_________________________________________________________________

|STRESSES DURING INITIAL LIFTING (including dynamic allowance) |

|Critical Compression |

| Top of Beam | 4.650| 0.63 | 21.84 | 0%|

| Bottom of Beam | 0.602| 9.76 | 21.84 | 0%|

| | Longitudinal Tensile Rebar Needed (mm^2)

|Critical Tension | Required Provided Additional

| Top of Beam | 0.510| -1.80 | -3.48 | 0%|

| Bottom of Beam | 0.000| 0.01 | -3.48 | 0%|

_________________________________________________________________

|STRESSES DURING ERECTION LIFTING (including dynamic allowance) |

|Critical Compression |

| Top of Beam | 4.650| 0.73 | 33.60 | 0%|

| Bottom of Beam | 0.602| 9.11 | 33.60 | 0%|

| | Longitudinal Tensile Rebar Needed (mm^2)

|Critical Tension | Required Provided Additional

| Top of Beam | 0.510| -1.66 | -4.31 | 0%|

| Bottom of Beam | 0.000| 0.00 | -4.31 | 0%|

_________________________________________________________________

|STRESSES IN SERVICE |

|Critical Compression |

| Top of Beam | 4.650| 4.61 | 28.80 | 0%|

| Bottom of Beam | 0.602| 6.97 | 28.80 | 0%|

| Top of CIP Pour| 4.650| 2.81 | 19.20 | 0%|

|Critical Tension |

| Top of Beam | 0.510| -0.53 | -6.90 | 0%| Class U member - not cracked

| Bottom of Beam | 0.000| 0.00 | -6.90 | 0%| Class U member - not cracked

| Top of CIP Pour| 0.050| 0.00 | -3.52 | 0%|

_________________________________________________________________

|STRESSES IN SERVICE (SUSTAINED LOADS ONLY) |

|Critical Compression |

| Top of Beam | 4.650| 3.91 | 21.60 | 0%|

| Bottom of Beam | 0.602| 7.25 | 21.60 | 0%|

_________________________________________________________________

At Transfer During Lifting In Service

Modulus of Rupture, fr = -3.48 MPa -3.48 MPa -4.31 MPa

Strength Required for Transfer, f'c = 13.7 MPa (f'c specified = 31 MPa)

Strength Required for Initial Lifting, f'c = 13.9 MPa (f'c assumed = 31 MPa)

______________________________________________________________________________________________________________

DISTRIBUTION OF FLEXURAL STEEL & CRACKING

(+ve = tension, -ve = compression)

Beam not cracked, cracking is controlled, or crack depth is less than concrete cover.

______________________________________________________________________________________________________________________

DEFLECTIONS AT ALL STAGES

(-ve = deflection down, +ve = camber up)

Design Code Used: ACI 318-08

THESE DEFLECTIONS ARE BASED ON MIDSPAN PROPERTIES THROUGHOUT THE LENGTH OF THE BEAM.

_____________________________________________________________________________________________________________

| | Net Deflection | Change in Deflection |

|Location| Net @ | Net @ | Net @ | Net DL | Net Total| DL growth| LL | Span/Deflection |

| x | Transfer | Erection |Completion| @ Final | @ Final | + LL | alone | DL growth| LL |

| m | mm | mm | mm | mm | mm | mm | mm | + LL | alone |

| Column | A | B | C | D | E | E - C | E - D | | |

_____________________________________________________________________________________________________________

| 0.000| -0.6 | -0.3 | -0.2 | -0.1 | -0.1 | 0.0 | 0.0 | 1174 | 4034 |

| 0.050| -0.5 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0 | 0 |

| 0.970| 2.2 | 5.4 | 3.3 | 2.1 | 1.7 | -1.6 | -0.4 | 5811 | 20564 |

Page 56 of 58

Page 57: 2015.08.31 - 153041-CN-01 Rev0

Summary Report

Concise Beam, Version 4.58f, Copyright 2002-2012 Black Mint Software, Inc.

Licensed to: 4113040214, United Precast Concrete LLC - OK

Project:

Problem:

5File: C5 RF HCS320 x 9.3m with 8-12.5strands.con

Engineer: Engineering Dept

Mon Aug 31 13:42:47 2015�

Company: United Precast Concret

| 1.890| 4.2 | 9.4 | 5.2 | 2.9 | 2.1 | -3.1 | -0.8 | 2969 | 10869 |

| 2.810| 5.7 | 12.0 | 6.1 | 2.9 | 1.8 | -4.3 | -1.2 | 2121 | 7939 |

| 3.730| 6.5 | 13.5 | 6.5 | 2.8 | 1.4 | -5.1 | -1.4 | 1789 | 6778 |

| 4.650| 6.8 | 13.9 | 6.6 | 2.7 | 1.2 | -5.4 | -1.4 | 1697 | 6455 |

| 5.662| 6.5 | 13.4 | 6.5 | 2.8 | 1.4 | -5.1 | -1.3 | 1809 | 6850 |

| 6.582| 5.5 | 11.8 | 6.0 | 3.0 | 1.8 | -4.2 | -1.1 | 2175 | 8124 |

| 7.502| 4.0 | 9.0 | 5.0 | 2.9 | 2.1 | -3.0 | -0.8 | 3112 | 11360 |

| 8.422| 1.9 | 5.0 | 3.0 | 2.0 | 1.6 | -1.4 | -0.4 | 6459 | 22767 |

| 9.250| -0.5 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0 | 0 |

| 9.300| -0.6 | -0.3 | -0.2 | -0.1 | -0.1 | 0.0 | 0.0 | 1174 | 4034 |

_____________________________________________________________________________________________________________

Col. A: Net deflection at transfer includes prestressing and beam weight on temporary supports.

Col. B: Net deflection at erection includes prestressing and all dead loads applied before the cast-in-place

pour plus long-time deflection growth of the prestressing and beam weight up to erection

Col. C: Net deflection at completion of construction includes prestressing and all dead loads

plus long-time deflection growth of the prestressing and dead load up to completion

Col. D: Net DL deflection at final includes prestressing, all dead loads, and sustained live loads,.

plus long-time deflection growth.

Col. E: Net total deflection at final includes prestressing, all dead loads, and all live loads,

plus long-time deflection growth.

Live load includes roof load, and fluid weight. Wind and earthquake are not included.

Deflection growth is estimated by use of the PCI suggested multipliers - see the Deflection Multipliers report.

Span/Deflection Limits: DL growth + LL = L / 480 for non-structural attachments

L / 240 otherwise

LL alone = L / 360 for floors

L / 180 for roofs

______________________________________________________________________________________________________________________

FLEXURAL DESIGN CHECK

Design Code Used: ACI 318-08

β used: for precast beam = 0.702 , for cast-in-place pour = 0.818

_________________________________________________________________________________________________________

| | Factored | Design | Minimum * | Depth in | Net Tensile| Flexure | Ø | Notes & |

| | Moment | Strength | Required | Compression| Strain | Class | | Warnings |

| x | Mu | ØMn | Strength | c | | | | |

| m | kNm | kNm | kNm | mm | | | | |

_________________________________________________________________________________________________________

| 0.000| 0.0 | 0.2 | 0.0 | 0.9 | 1.0865|Tension | 0.75| |

| 0.050| 0.0 | -1.6 | 0.0 | 1.9 | 0.0538|Tension | 0.75| |

| 0.970| 69.1 | 221.1 | 138.2 | 31.6 | 0.0298|Tension | 0.79| |

| 1.890| 122.9 | 349.9 | 245.8 | 45.8 | 0.0196|Tension | 0.88| |

| 2.810| 161.3 | 384.7 | 321.2 | 49.3 | 0.0180|Tension | 0.90| |

| 3.730| 184.3 | 384.7 | 320.6 | 49.3 | 0.0180|Tension | 0.90| |

| 4.650| 192.0 | 384.7 | 320.3 | 49.3 | 0.0180|Tension | 0.90| |

| 5.662| 182.7 | 384.7 | 320.6 | 49.3 | 0.0180|Tension | 0.90| |

| 6.582| 158.1 | 384.7 | 316.3 | 49.3 | 0.0180|Tension | 0.90| |

| 7.502| 118.2 | 336.3 | 236.4 | 44.3 | 0.0204|Tension | 0.87| |

| 8.422| 62.9 | 209.1 | 125.8 | 30.1 | 0.0313|Tension | 0.78| |

| 9.250| 0.0 | -1.6 | 0.0 | 1.9 | 0.0538|Tension | 0.75| |

| 9.300| 0.0 | 0.2 | 0.0 | 0.9 | 1.0865|Tension | 0.75| |

_________________________________________________________________________________________________________

Points of Maximum and Minimum Factored Moment

| 4.650| 192.0 | 384.7 | 320.3 | 49.3 | 0.0180|Tension | 0.90| |

| 0.050| 0.0 | -1.6 | 0.0 | 1.9 | 0.0538|Tension | 0.75| |

Points of Maximum Ratio of Factored Moment to Design Strength

| 4.650| 192.0 | 384.7 | 320.3 | 49.3 | 0.0180|Tension | 0.90| |

| 0.050| 0.0 | -1.6 | 0.0 | 1.9 | 0.0538|Tension | 0.75| |

_________________________________________________________________________________________________________

* Minimum Strength Only Checked at Points of Maximum and Minimum Moment.

______________________________________________________________________________________________________________________

SHEAR/TORSION DESIGN CHECK

Design Code Used: ACI 318-08

Shear and Torsion Design Forces

_______________________________________________________________________________________________________________________

| | Design | Prestress| Strength | Strength Provided | Min. Strength Req'd | Threshold| Design | Torsion

| | Shear | Component| Concrete | Stirrups | Total | Stirrups | Total | Torsion | Torsion | Provided

| x | Vu | Vp | ØVc | ØVs | ØVn | ØVs | ØVn | ØTcr/4 | Tu | ØTn

| m | kN | kN | kN | kN | kN | kN | kN | kNm | kNm | kNm

_______________________________________________________________________________________________________________________

Page 57 of 58

Page 58: 2015.08.31 - 153041-CN-01 Rev0

Summary Report

Concise Beam, Version 4.58f, Copyright 2002-2012 Black Mint Software, Inc.

Licensed to: 4113040214, United Precast Concrete LLC - OK

Project:

Problem:

6File: C5 RF HCS320 x 9.3m with 8-12.5strands.con

Engineer: Engineering Dept

Mon Aug 31 13:42:47 2015�

Company: United Precast Concret

| 0.000| 0.0 | 0.0 | -84.5 | 0.0 | -84.5 | 0.0 | -84.5 | 8.7 | 0.0 | 0.0

| 0.050| 0.0 | 0.0 | 211.4 | 0.0 | 211.4 | 0.0 | 211.4 | 9.1 | 0.0 | 0.0

| 0.050| 79.1 | 0.0 | 211.4 | 0.0 | 211.4 | 0.0 | 211.4 | 9.1 | 0.0 | 0.0

| 0.970| 66.8 | 0.0 | 207.9 | 0.0 | 207.9 | 0.0 | 207.9 | 12.5 | 0.0 | 0.0

| 1.890| 50.1 | 0.0 | 102.0 | 0.0 | 102.0 | 0.0 | 102.0 | 13.0 | 0.0 | 0.0

| 2.810| 33.4 | 0.0 | 84.5 | 0.0 | 84.5 | 0.0 | 84.5 | 13.4 | 0.0 | 0.0

| 3.730| 16.7 | 0.0 | 84.5 | 0.0 | 84.5 | 0.0 | 84.5 | 13.6 | 0.0 | 0.0

| 4.650| 0.0 | 0.0 | 84.5 | 0.0 | 84.5 | 0.0 | 84.5 | 13.6 | 0.0 | 0.0

| 5.662| -18.4 | 0.0 | -84.5 | 0.0 | -84.5 | 0.0 | -84.5 | 13.5 | 0.0 | 0.0

| 6.582| -35.1 | 0.0 | -84.5 | 0.0 | -84.5 | 0.0 | -84.5 | 13.3 | 0.0 | 0.0

| 7.502| -51.8 | 0.0 | -107.7 | 0.0 | -107.7 | 0.0 | -107.7 | 13.0 | 0.0 | 0.0

| 8.422| -68.5 | 0.0 | -209.5 | 0.0 | -209.5 | 0.0 | -209.5 | 12.5 | 0.0 | 0.0

| 9.250| -79.1 | 0.0 | -211.4 | 0.0 | -211.4 | 0.0 | -211.4 | 9.1 | 0.0 | 0.0

| 9.250| 0.0 | 0.0 | 211.4 | 0.0 | 211.4 | 0.0 | 211.4 | 9.1 | 0.0 | 0.0

| 9.300| 0.0 | 0.0 | 84.5 | 0.0 | 84.5 | 0.0 | 84.5 | 8.7 | 0.0 | 0.0

_______________________________________________________________________________________________________________________

Notes & Warnings

5 - Note: Design shear force, and/or torsion, and design limited to critical section near support.

7 - Note: The calculation of the shear strength of the concrete used the simplified method.

Transverse Steel (Stirrup) Design for Shear

___________________________________________________________________________________________________________

| | Required Shear Steel | Stirrup | Stirrup Spacing | Additional Long. Steel| Notes & |

| | Total | Torsion* | Provided | Provided | Required | for Torsion, Al | Warnings |

| x | (Av+2At)/s | At/s | Av+2At | s | s | Bottom | Top | |

| m | mm^2/mm | mm^2/mm | mm^2 | mm | mm | mm^2 | mm^2 | |

___________________________________________________________________________________________________________

| 0.000| 0.000 | 0.000 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 5 |

| 0.050| 0.000 | 0.000 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 5 |

| 0.050| 0.000 | 0.000 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 5 |

| 0.970| 0.000 | 0.000 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | |

| 1.890| 0.000 | 0.000 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | |

| 2.810| 0.000 | 0.000 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | |

| 3.730| 0.000 | 0.000 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | |

| 4.650| 0.000 | 0.000 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | |

| 5.662| 0.000 | 0.000 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | |

| 6.582| 0.000 | 0.000 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | |

| 7.502| 0.000 | 0.000 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | |

| 8.422| 0.000 | 0.000 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | |

| 9.250| 0.000 | 0.000 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 5 |

| 9.250| 0.000 | 0.000 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 5 |

| 9.300| 0.000 | 0.000 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 5 |

___________________________________________________________________________________________________________

Notes & Warnings

5 - Note: Design shear force limited to critical section near support.

Note: Additional long. steel in compression side of section has been reduced.

* Portion of the total stirrup area required to resist torsional shear flow (one leg around periphery).

Page 58 of 58