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DESIGNED BY KEVIN TANTSEVI
DEPARTMENT OF CIVIL AND ENVIRONMENTAL ENGINEERINGCARNEGIE MELLON UNIVERSITY
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COPYRIGHT
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: CAE Date: 01/13/13
: Kevin Tantisevi
Member : b1 Types of Beam: 3 spans Beam Width: 15 inches
DESIGN CRITERIA:
Concrete Strength ( f'c ) = 6,000 psi
Elastic Modulus of Concrete (Ec
) = 4.42E+06 psi
Reinforcing bar Yield Strength ( fyr ) = 40,000 psi
Stirrups Yield Strength (fys) = 40,000 psi
PARAMETER FOR FLEXURAL DESIGN :
b1 = 0.75
rb = 0.066
rmin. = 0.005
r = 0.0328
w = 0.2184
kn = 1141.4
PARAMETER FOR SHEAR DESIGN :
B*f'c(1/2)
= 1161.90
Maximum number of bars in a row: 6
Project's name
Designer's name
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Load Data A Single span beam
P1DL kips L ft.
P1LL kips a ft.
P2DL kips b ft.
P2LL kips
DL kips / ft.
LL kips / ft.
Dead Weight of Beam = 0.52 kips/ft
0.00 kips
total factored Point Load 2 = 0.00 kips
total factored Uniform Load = 0.72 kips
VA = #DIV/0! kips
VB = #DIV/0! kips
Max. Shear = #DIV/0! kips
Max. ultimate positive moment = #DIV/0! kips.ft
Max. ultimate negative moment = 0 kips.ft
hmin = 0 inchesreq' d = #DIV/0! inches
Determine depth (d) and thickness (h)
Use Beam Depth = #DIV/0! inches Thickness = #DIV/0! inches
Check the beam weight by recalculating the load . Passed
Determine As
req' As = #DIV/0! inches.2
Bar No. 5 6 7 8 9 10 11 14
Area / bar (in2) 0.31 0.44 0.6 0.79 1 1.27 1.56 2.25
No. of bars* #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!
Min. number of 2 steel bars is required
Use the top bar = 2 No. 14 bar Use the bottom bar size = 4 No. 14 bar
Check Shear
Check if Bd(f'c)1/2
> Vmax/ f
The shear reinforcement is #DIV/0!
Bar No. 3 4 5
Area (in2) 0.22 0.4 0.62
Spacing of bars #DIV/0! #DIV/0! #DIV/0!
Use the spacing of #DIV/0! #DIV/0!
total factored Point Load 1 =
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Load Data
A two span continuous beam
PDLa1 kips L1 ft.
PLLa1 kips a1 ft.
PDLb1 kips b1 ft.
PLLb1 kipsDL1 kips / ft.
LL1 kips / ft.
PDLa2 kips L2 ft.
PLLa2 kips a2 ft.
PDLb2 kips b2 ft.
PLLb2 kips
DL2 kips / ft.
LL2 kips / ft.
Factored Load Case
0.72 kips / ft.
Case Description Pa1 Pb1 UL1 Pa2 Pb2 UL2
1 Full DL 0 0 0 0 0 02 Half Left LL 0 0 0 0 0 0
3 Full LL 0 0 0 0 0 0
4 Half Right LL 0 0 0 0 0 0
Result of end moment
case A B B C
1 0.00 727.01 -727.01 0.00
2 0.00 283.33 -283.33 0.00
3 0.00 850.00 -850.00 0.00
4 0.00 566.67 -566.67 0.00
max. absolute 0.00 1578.00 1578.00 0.00
Result of midspan moment and shear
case VAR MAB VBLVBR MBC VCL
1 #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!
2 #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!
3 #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!
4 #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!
max. absolute #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!
Max. Shear = #DIV/0! kips
Max.positive moment = #DIV/0! kips.ft
Max. negative moment = 1578.00 kips.ft
hmin = 0 inchesreq' d = #DIV/0! inches
Determine depth (d) and thickness (h)
Use Beam Depth = #DIV/0! inches Thickness = #DIV/0! inches
Check the beam weight by recalculating the load . Passed
Determine As
req' As+ = #DIV/0! inches.2
req' As- = #DIV/0! inches.2
Bar No. 5 6 7 8 9 10 11 14
Area / bar (in2) 0.31 0.44 0.6 0.79 1 1.27 1.56 2.25
No. of bottom bars #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!
No. of top bars #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!Min. number of 2 steel bars is required
Use top bar = 7 No. 14 bar Use Bottom bar = 5 No. 11 bar
factored Beam weight
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Load Data
A three span continuous beam
PDLa1 100 kips L1 15 ft.
PLLa1 100 kips a1 10 ft.
PDLb1 0 kips b1 0 ft.PLLb1 0 kips
DL1 5 kips / ft.
LL1 5 kips / ft.
PDLa2 0 kips L2 15 ft.
PLLa2 0 kips a2 0 ft.
PDLb2 0 kips b2 0 ft.
PLLb2 0 kips
DL2 5 kips / ft.
LL2 5 kips / ft.
PDLa3 0 kips L3 12 ft.
PLLa3 0 kips a3 0 ft.
PDLb3 100 kips b3 4 ft.
PLLb3 200 kipsDL3 5 kips / ft.
LL3 5 kips / ft.
Factored Load Case
0.5 kips / ft.
Case Description Pa1 Pb1 UL1 Pa2 Pb2 UL2
1 Full DL 140 0 7 0 0 7
2 1 and 3 LL 170 0 8.5 0 0 0
3 1 and 2 LL 170 0 8.5 0 0 8.5
4 2 LL 0 0 0 0 0 8.5
5 2 and 3 LL 0 0 0 0 0 8.5
Result of end moment
case A B B C C D
1 0.00 357.35 -357.35 251.03 -251.03 0.00
2 0.00 278.82 -278.82 415.39 -415.39 0.00
3 0.00 489.70 -489.70 -2.72 2.72 0.00
4 0.00 91.07 -91.07 91.07 -91.07 0.00
5 0.00 -28.74 28.74 600.26 -600.26 0.00
max. absolute 0.00 848.00 848.00 852.00 852.00 0.00
Result of midspan moment and shear
case VAR MAB VBL VBR MBC VCL VCR
1 78.98 -107.06 173.30 63.23 -43.65 49.05 159.17 -
2 101.83 -133.70 195.67 -9.10 55.39 9.10 312.28 -
3 87.77 -119.64 209.73 96.58 -159.74 30.92 -0.23
4 -6.07 6.07 6.07 63.75 -147.23 63.75 7.59
5 1.92 -1.92 -1.92 21.82 -79.34 105.68 327.69 -
max. absolute 181.00 241.00 384.00 160.00 204.00 155.00 487.00 5
Max. Shear = 384.00 kips
Max.positive moment = 569.00 kips.ft
Max. negative moment = 852.00 kips.ft
hmin = 10 inches
req' d = 27 inches
Determine depth (d) and thickness (h)
Use Beam Depth = 27 inches Thickness = 29 inches
Check the beam weight by recalculating the load . Passed
factored Beam weight
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15 ft. 15 ft. 12 ft.
Section 1-1, 2-2, 3-3 Drawing details for b1
A B
1
1
2
2C
3
3
29
15
5 No. 14 bar
4 No. 14 bar
11 inches. of No. 3 bar c/c
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A B
1
1
A B
1
1
2
2C
A B
1
1
2
2
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3
3D
C
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