9
Sheet : Cont'd : note : enter data in cell ma  :Shear Reinforcement for Sla bs - Reported by Joint ACI-ASCE Committe e 421 : Recommendations for Design of SlabColumn Connections in Monolithic Reinforced Concrete Structures av Vu Vu Vu Vu Data : d h 1 1 S ol u ti on : Th e v er ti ca l fac to re d l oad t o b e c ar ried is = * + * = = = 1) Width of Bearing plate(Wb) = =  vu <= ¢(Pab) = ¢(0.85fc'Al) where Al = Area of bearing ) Al = Vu / (Ø*(0.85*fc')) = * * * Prepared by : Date : Job No. : Verified by : Revision Notes : Calculation Sheet Project : Subject :         0   .         5         d Strength of reinforement fy 415 Mpa 60191 CALCULATION DesignofanCorbelasperAci318-95 only Ref codes ACI 318-08- Building Code Requirements for Structural Concrete (ACI 318-08) and Commentary As primary reinforcement. Bracing plate and Anchor to be welded to reinforcement. psi Service Dead Load Vsdl 45.00 Kips 200 Kn Strength of concrete fc 40 Mpa 5802 psi Corbel Width bw 400 mm 15.75 in φ = Service Live Load Vsll 75.00 Kips 334 Kn Factored Horizontal force Nuc- enter 0 if data not available 0.00 Kips 0.00 Kn Vn = Vu = 190.5 = 0.75 Ah(horizontal stirrups or ties) Vu 1.4 45.00 1.7 75.00 (11.8.3.1) 254.00 Kips 1129.79 Kn φ 0.75 190.5 Kips 847.34 Kn 0.70 0.85 40 250 mm 9.84 in ok 847.34 1000 = = .: Bearing length = = .: use Bearing length = .: Bearing plate size = x 2) av > 2 * bl /3 = = Av = bl / 2 + 25 = = use av = = maximum 3) In absen ce of roller or low- friction su pport pa d , a horizontal tensile force of = * * ( + ) = * = = .: Adopt Nuc = = For normal weight concrete . Check Vn < 0.2fc'bwd - = * * * (11.8.3.2.1) = = < (480 + 0.08fc')bwd = ( + * ) * * = = < 1600 bw d = * * = = also >= + ( 25 mm clearance from both sides ) = ( + ) * = = Therefore max d = = Adopt d = = Cover from c/l of r/f to top = = in Prep By : A B Quadri- Abq Consultants - 9959010 210 - em- abquadri@ya hoo.com-12-2-8 26/2 Royal Residency, Besides Amba talkies, Mehdipatnam , Hyderabad-India. ok 35603 mm2 1401.68 cm 250 200 mm Determine shear span 'a' with 25 mm max clearance at beam end.Beam reaction is assumed at third point of bearing plate, to simulate rotation of supported Girder and triangular distribution of stress under bearing pad. 133 mm 5.25 in in2 Al / Wb 142.41 200 mm or 125 mm 4.92 in 135 mm 5.31 in ok 170.81 Kn 38.40 170.81 Kn Nuc 0.2 1.60 45.00 75.00 0.2 192.00 38.4 Kips Kips mm 254.00 480 0.08 5802 (clause - 11.8.3.2) 254.00 0.2 5802 15.75 d 15.75 d d 17.08 in 433.92 d 13.90 in 353.08 mm 254.00 1600 15.75 d d 10.08 in 256.05 mm 500 mm 19.69 in 19.69 in 500 mm 0.5 d Length of bearing plate 50 mm 200 50 2 20.00 in 508 mm ok 50.0 mm 1.97 assumed value , since bar dia is not known Visit  Abqconsulta nts.com

1 Design of RCC Corbels-23052014

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Visit www.abqconsultants.comThis program Designs andOptimises RCC CorbelsWritten and programmed byA B [email protected]@gmail.com99590102109959010211

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  • Sheet :

    Cont'd :

    note : enter data in cell marked

    :Shear Reinforcement for Slabs - Reported by Joint ACI-ASCE Committee 421

    : Recommendations for Design of SlabColumn Connections in Monolithic Reinforced Concrete Structures av VuVuVuVu

    Data :

    d

    h

    1

    1

    Solution : The vertical factored load to be carried is

    = * + *

    = =

    =

    1) Width of Bearing plate(Wb) = =

    vu 2 * bl /3 = =

    Av = bl / 2 + 25 = =

    use av = = maximum

    3) In absence of roller or low-friction support pad , a horizontal tensile force of

    = * * ( + )

    = * = =

    .: Adopt Nuc = =

    For normal weight concrete .

    Check Vn < 0.2fc'bwd - = * * *

    (11.8.3.2.1) = =

    < (480 + 0.08fc')bwd

    = ( + * ) *

    *

    = =

    < 1600 bw d = * *

    = =

    also >= + ( 25 mm clearance from both sides )

    = ( + ) * = =

    Therefore max d = =

    Adopt d = =

    Cover from c/l of r/f to top = = in

    Prep By : A B Quadri- Abq Consultants - 9959010210 - [email protected]/2 Royal Residency, Besides Amba talkies, Mehdipatnam , Hyderabad-India.

    ok

    35603 mm2 1401.68

    cm

    250 200 mm

    Determine shear span 'a' with 25 mm max clearance at beam end.Beam reaction is assumed at third point of bearing plate, to simulate rotation of supported Girder and triangular distribution of stress under bearing pad.

    133 mm 5.25 in

    in2

    Al / Wb 142.41 200 mm

    or 125 mm 4.92 in

    135 mm 5.31 in ok

    170.81 Kn

    38.40 170.81 Kn

    Nuc 0.2 1.60 45.00 75.00

    0.2 192.00 38.4 Kips

    Kips

    mm

    254.00 480 0.08 5802

    (clause - 11.8.3.2)

    254.00 0.2 5802 15.75 d

    15.75 d

    d 17.08 in 433.92

    d 13.90 in 353.08

    mm

    254.00 1600 15.75 d

    d 10.08 in 256.05 mm

    500 mm 19.69 in

    19.69 in 500 mm

    0.5 d Length of bearing plate 50 mm

    200 50 2

    20.00 in 508 mm ok

    50.0 mm 1.97 assumed value , since bar dia is not known

    Visit Abqconsultants.com

    This program Designs and

    Optimises RCC Corbel

    Written and programmed by

    :-

    A B Quadri

    www.abqconsultants.com

    [email protected]

    [email protected]

    9959010210

    9959010211

    Visit Abqconsultants.com

  • Sheet :

    Cont'd :

    Total depth h = =

    If a 45 slope is used then the corbel depth outside of the bearing area will be =

    0.5 d = =

    The total shear friction is found from equation

    *

    * *

    The bending moment to be resisted is Mu = Vu * av + Nuc * ( h - d )

    Mu = * + * ( - )

    Note : for all design calculations = 0.75 (11.8.3.1)

    *

    * * *

    The Tensi;e force Nuc = kips requires an additional steel area.

    *

    *

    >= Af + An >= + = =

    Prepared by : Date :

    Job No. :

    Verified by : Revision Notes :

    Calculation Sheet

    Project :

    Subject :

    This is >= 10.00 in 254 mm

    CALCULATION

    21.97 in 558 mm

    10.00 in 254 mm

    < 1.00 ok (11.8.1-a) 20.00

    Avf =Vu Where ff is the friction factor. For monolithic construction

    - for normal concrete ff = 1.40 * ff * fy

    Check av / d < 1 =

    5.31= 0.266

    = 1944.66 mm20.75 1.40 60191

    12

    =190.5 1000

    = 3.01 in2

    190.5 5.31 38.40 21.97 20.00

    =1088.09

    = 90.67 kip-ft

    = 1.418 in2 = 914.73 mm2

    = 122.94 Kn.m

    60191 0.85 20.00

    Find Af using conventional flexural design method or coservatively use jud = 0.85d

    Af = Mu / ( * fy * ju * d ) =90.67 12000

    0.75

    38.40

    An =Nuc

    =38.40 1000

    fy 0.75 60191

    Thus from the above two equation, the total steel area at top of the bracket must not be less than -

    As 1.418 0.851 2.268 in2 1464

    = 0.851 in2 = 548.79 mm2

    mm2

    nor less than

    2 + An 2 * +

    3 3

    nor less than

    3 * fc' bw d = 3 * ^ * *

    * *

    As = =

    provide = mm2

    Closed hoop steel / stirrups or ties Ah having a total area not less than 0.5(As - An) must be provided. ( 11.8.4)

    Thus

    = * ( - ) = =

    provide = mm2

    Spacing between bars = =

    Sheet :

    Cont'd :

    = 1845 mm2

    Asmin >=5802 0.5 15.75 20.00

    fy

    As >=Avf

    =3.01 0.851

    = 2.860 in2

    nor less than

    Asmin >= 200 bw d / fy =200

    60191

    = 1.196 in2 = 771 mm2

    675 mm260191

    Therefore adopt 2.860 in2 1845 mm2

    15.75 20.00= 1.047 in2 =

    2.9217 in2 1885 ok

    Ah 0.5 2.860 0.851 1.005 in2

    20 mm dia 6 nos bars area =

    706.86 ok

    1.67 in 42.33 mm

    648 mm2

    10 mm dia 9 nos bars area = 1.0956 in2

    11.8.4 - Total area, Ah, of closed stirrups or ties parallel to primary tension reinforcement shall not be less than 0.5(Asc- An). Distribute Ah uniformly within (2/3)d adjacent to primary tension reinforcement.

    Prep By : A B Quadri- Abq Consultants - 9959010210 - [email protected]/2 Royal Residency, Besides Amba talkies, Mehdipatnam , Hyderabad-India.-www.abqconsultants.com

    Prepared by : Date :

    Job No. :

  • 11

    Concrete grade = 40 MpaConcrete grade = 40 MpaConcrete grade = 40 MpaConcrete grade = 40 Mpa

    CALCULATION

    Width of Corbel = 400 mmWidth of Corbel = 400 mmWidth of Corbel = 400 mmWidth of Corbel = 400 mm

    250 wide X 200 long 250 wide X 200 long 250 wide X 200 long 250 wide X 200 long

    270270270270 X 25 thkX 25 thkX 25 thkX 25 thk

    Verified by : Revision Notes :

    Calculation Sheet

    Project :

    Subject :

    5 / 10 5 / 10 5 / 10 5 / 10

    Steel Grade (Primary and Secondary) = 415 Steel Grade (Primary and Secondary) = 415 Steel Grade (Primary and Secondary) = 415 Steel Grade (Primary and Secondary) = 415 MpaMpaMpaMpa

    0

    135135135135

    574 (Total height)

    574 (Total height)

    574 (Total height)

    574 (Total height)

    304

    304

    304

    304

    508 min 'd' required

    508 min 'd' required

    508 min 'd' required

    508 min 'd' required

    6 / 20 6 / 20 6 / 20 6 / 20

    9 / 10 9 / 10 9 / 10 9 / 10

    5y

    7y

    7yy

    0

    270270270270

    Prep By : A B Quadri- Abq Consultants - 9959010210 - [email protected]/2 Royal Residency, Besides Amba talkies, Mehdipatnam , Hyderabad-India.-www.abqconsultants.com

  • Last Change 4/6/2014-----12:25:12 PM

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