Double RC Beam (WSD)

Proj. Name: 2-Storey Resd'l. Bldg. General Description:Location: Lolita Village, Brgy. Caibaan, Tacloban City Terrace Beam (RCB2) 4.5 m. spanClient: Pitao BLDesigner: Pitao BLDate: Feb. 14, 2008

DOUBLE REINFORCED BEAM (WSD)

AT MID SPAN POSITIVE MOMENTDESIGN DATA FOR CONCRETE BEAMS:

13.8 17.2 20.7 27.6 ITEM fc' = 2,000.00 2,500.00 3,000.00 4,000.00

fc = .45fc' 6.21 7.76 9.31 12.41 Es 200,000.00 200,000.00 200,000.00 200,000.00

17,564.80 19,638.05 21,512.40 24,840.38 n = Es/Ec 11.00 10.00 9.00 8.00

k = n/(n+fs/fc) 0.1984 0.2195 0.2330 0.2647 j = 1 - k/3 0.93 0.93 0.92 0.91

Given: fc': 3,000.00 psi Span L: 4.5 metersfc = 1,350.00 psi Beam Section:

9.308 mpa b 250 mm fs = 40,000.00 psi d 300 mm

275.80 mpa Slab Thickness: 0.12 metersConcrete Covering: Top = 25 Slab Width : 2 meters

Bottom = 35 Wall Ht. : 2.6 metersWall Thk.: 0.13 meters

DEADLOAD:BEAM : 1.766 Kn / mSLAB : 5.674 Kn / mWALL : 7.958 Kn / mSIESMIC: 1.134 Kn / m

LIVELOAD: 2.8 5.6 Kn / mTOTAL LOAD: W = 22.132 Kn / m

TRY:No. of Bars Bar Diameter Unit Area

Tension 2 16 mm 201.06 sq.mm.1 16 mm 201.06 sq.mm.

Compression 2 16 mm 201.06 sq.mm.1 16 mm 201.06 sq.mm.

va<v THEREFORE: PROVIDE WEB REINFORCEMENT

ACI CODE: MAX. SPACING, Sm = 150 mm

IF: S>Sm : USE ACI CODE: Sm = D/2 150.00 mm

Ec = 4730√fc'

Terrace Beam (RCB2) 4.5 m. span

2.00 pcs. 16 mm. dia. RC Bars 34.5 mpa 1.00 pcs. 16 mm. dia. RC Bars 5,000.00 psi 15.51 200,000.00 mpa 300 mm 10 mm. dia. Stirrups 27,772.39 mpa sp.@ 150 mm o.c. 7.00 0.2825 0.91 pcs. mm. dia. RC Bars

2.00 pcs. 16 mm. dia. RC Bars 1.00 pcs. 16 mm. dia. RC Bars

250 mm.

@ Mid-span

Total Area 402.12 603.19 OK, SAFE Kana BAY!!!! 201.06 402.12 603.19 UNSAFE, TRY AGAIN!!!! 201.06

mm. dia. RC Barsmm. dia. RC Bars

mm. dia. RC Barsmm. dia. RC Barsmm. dia. RC Bars

Proj. Name: 2-Storey Resd'l. Bldg. General Description:Location: Lolita Village, Brgy. Caibaan, Tacloban CityClient: Pitao BLDesigner: Pitao BLDate: Feb. 14, 2008

INVESTIGATION OF DOUBLE REINF. BEAM

AT MID SPAN POSITIVE MOMENTDESIGN DATA FOR CONCRETE BEAMS:

13.8 17.2 20.7 mpaITEM fc' = 2,000.00 2,500.00 3,000.00 psi

fc = .45fc' 6.21 7.76 9.31 Es 200,000.00 200,000.00 200,000.00 mpa

17,564.80 19,638.05 21,512.40 mpan = Es/Ec 11.00 10.00 9.00

k = n/(n+fs/fc) 0.1984 0.2195 0.2330 j = 1 - k/3 0.93 0.93 0.92


9.308 mpa b 250 mm fs = 40,000.00 psi d 300 mm





DESIGN MOMENT: Md = WL^2/14 32.012 Kn - m

TRIAL BARS:No. of Bars Diameter Area,mm^2

Tension 2 16 mm. As = 402.1248Tension 2 12 mm. As = 226.20

Compression 2 16 mm. As' = 402.12IF: Mc > Md : SAFE, KAAYO BAY !!!IF: Ms > Md: SAFE, G'YUD NA BAY !!!

Ec = 4730√fc'

F20

Buenaventura Pitao: Enter data on yellow colored cells

2 pcs. 16 mm. dia. RC Bars

300 mm

pcs. mm. dia. RC Bars 2.00 pcs. 16 mm. dia. RC Bars 2.00 pcs. 12 mm. dia. RC Bars

250 mm.

@ Mid-span

Proj. Name: General Description:Location:Client:Designer:Date:


AT CONTINUOUS END POSITIVE MOMENTDESIGN DATA FOR CONCRETE BEAMS:

13.79 17.2 20.7 MpaITEM fc' = 2,000.00 2,500.00 3,000.00 psi

fc = .45fc' 6.21 7.74 9.32 Es 200,000.00 200,000.00 200,000.00 mpa

17,564.80 19,616.67 21,520.20 mpan = Es/Ec 11.00 10.00 9.00

k = n/(n+fs/fc) 0.1984 0.2191 0.2331 j = 1 - k/3 0.93 0.93 0.92

Given: fc': 3,000.00 psi Span L: 4.5 metersfc = 1,350.00 psi Beam Section: 0 meters

9.308 mpa b 250 mm fs = 40,000.00 psi d 300 mm




LIVELOAD: 2.8 5.6 Kn / m

DESIGN MOMENT: Md = W((L1+L2)/2)^2/10 9.337 Kn - m

IF: M1 > Md: THEREFORE: ANALYZE SINGLE REINFORCE BEAMIF: fs' < fs USE: COMPUTED fs'

TRY:No. of Bars Bar Diameter Unit Area Total Area

Tension 2.00 16 mm 201.06 sq.mm. 1.00 12 mm 113.10 sq.mm.

Compression 2.00 16 mm 201.06 sq.mm. - 16 mm 201.06 sq.mm.


Ec = 4730√fc'




300 mm10 mm dia. Stirrups

sp.@ 150 mm o.c.

2.00 pcs. 16 mm. dia. RC Bars - pcs. 16 mm. dia. RC Bars

250 mm.

@ Continues Edge Support

Total Area 402.12 515.22 OK, SAFE Kana BAY!!!! 113.10 402.12 - 402.12 OK, SAFE Kana BAY!!!!



AT CONTINUOUS NEGATIVE MOMENTDESIGN DATA FOR CONCRETE BEAMS:

13.79 17.2 20.7 mpaITEM fc' = 2,000.00 2,500.00 3,000.00 psi

fc = .45fc' 6.21 7.74 9.32 Es 200,000.00 200,000.00 200,000.00 mpa

17,564.80 19,616.67 21,520.20 mpan = Es/Ec 11.00 10.00 9.00

k = n/(n+fs/fc) 0.1984 0.2191 0.2331 j = 1 - k/3 0.93 0.93 0.92

Given: fc': 3,000.00 psi Span L: 4.5 metersfc = 1,350.00 psi Beam Section: 0 meters

9.308 mpa b 250 mm fs = 40,000.00 psi d 300 mm





DESIGN MOMENT: Md = W((L1+L2)/2)^2/10 9.337 Kn - m



Compression 2 16 mm. As' = 402.12

IF: Mc > Md : SAFE, KAAYO BAY !!!IF: Ms > Md: SAFE, G'YUD NA BAY !!!

Ec = 4730√fc'


300 mm

2 pcs. 16 mm. dia. RC Bars

250 mm.

@ Continues Edge Support



AT DISCONTINUOUS END POSITIVE MOMENTDESIGN DATA FOR CONCRETE BEAMS:

13.79 17.2 20.7 mpaITEM fc' = 2,000.00 2,500.00 3,000.00 psi

fc = .45fc' 6.21 7.74 9.32 Es 200,000.00 200,000.00 200,000.00 mpa

17,564.80 19,616.67 21,520.20 mpan = Es/Ec 11.00 10.00 9.00

k = n/(n+fs/fc) 0.1984 0.2191 0.2331 j = 1 - k/3 0.93 0.93 0.92


9.308 mpa b 250 mm fs = 40,000.00 psi d 300 mm



DEADLOAD:BEAM : 1.766 Kn / m

1/2L SLAB : 2.837 Kn / mWALL : 7.958 Kn / mSIESMIC: 1.049 Kn / m



IF: M1 < Md: THEREFORE : PROVIDE COMPRESION BARSIF: fs' < fs USE: COMPUTED fs'

TRY:No. of Bars Bar Diameter Unit Area Total Area

Tension 2.00 16 mm 201.06 sq.mm. 1.00 12 mm 113.10 sq.mm.

Compression 2.00 16 mm 201.06 sq.mm.


SPACING, S = 2Avfv/v'b 1,042.41 mm


Ec = 4730√fc'



300 mm10 mm dia. Stirrups

sp.@ 150 mm o.c.

2.00 pcs. 16 mm. dia. RC Bars

250 mm.

@ Discontinues Edge Support

Total Area 402.12 515.22 OK, SAFE Kana BAY!!!! 113.10 402.12 OK, SAFE Kana BAY!!!!

Proj. Name: 2 storey Resd'l. bldg. General Description:Location: Lolita Village, Tac. City RC beam Terrace 4 m. spanClient: Pitao BLDesigner: Pitao BLDate:


AT DISCONTINUOUS NEGATIVE MOMENTDESIGN DATA FOR CONCRETE BEAMS:

13.79 17.2 20.7 mpaITEM fc' = 2,000.00 2,500.00 3,000.00 psi

fc = .45fc' 6.21 7.74 9.32 Es 200,000.00 200,000.00 200,000.00 mpa

17,564.80 19,616.67 21,520.20 mpan = Es/Ec 11.00 10.00 9.00

k = n/(n+fs/fc) 0.1984 0.2191 0.2331 j = 1 - k/3 0.93 0.93 0.92


9.308 mpa b 250 mm fs = 40,000.00 psi d 300 mm



DEADLOAD:BEAM : 1.766 Kn / m

1/2L SLAB : 2.837 Kn / mWALL : 7.958 Kn / mSIESMIC: 1.049 Kn / m





Compression 2 16 mm. As' = 402.12

IF: Mc > Md : SAFE, KAAYO BAY !!!IF: Ms > Md: SAFE, G'YUD NA BAY !!!

Ec = 4730√fc'

2 pcs. 16 mm. dia. RC Bars1 pcs. 12 mm. dia. RC Bars

300 mm

2.00 pcs. 16 mm. dia. RC Bars

250 mm.

@ Discontinues Edge Support

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Double RC Beam (WSD)