Compute the design moment capacity for the cantilever beam shown in the figure below. The 16 in. wide beam supports a uniform service (unfactored) dead load of 0.8 kip/ft plus its own self weight, and it supports a concentrated service (unfactored) live load of 12 kip as shown. The concrete has f'c = 5,000 psi and the steel is Grade 60. Is this beam safe for bending? Perform parametric analyses showing the effect of the following parameters on the moment capacity and safety: (a) f'c = 4 ksi, 5 ksi, 7 ksi (b) Live load = 8 kips, 14 kips, 20 kips

Structural Analysis
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Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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Problem 1:
Compute the design moment capacity for the cantilever beam shown in the figure
below. The 16 in. wide beam supports a uniform service (unfactored) dead load of 0.8
kip/ft plus its own self weight, and it supports a concentrated service (unfactored) live
load of 12 kip as shown. The concrete has f'c = 5,000 psi and the steel is Grade 60. Is
this beam safe for bending? Perform parametric analyses showing the effect of the
following parameters on the moment capacity and safety:
(a) f'c = 4 ksi, 5 ksi, 7 ksi
(b) Live load = 8 kips, 14 kips, 20 kips
Live load,
PL = 12 kips
WD = 1 kip/ft + weight of beam
↑ ↑ ↑↑ ↑ ↑ ↑ ↑ ↑ ↑ ↑ ↑ ↑↑ ↑.
6 No, 8 bars
15.5 in.
18 in.
- 1 ft
9 ft
Transcribed Image Text:Problem 1: Compute the design moment capacity for the cantilever beam shown in the figure below. The 16 in. wide beam supports a uniform service (unfactored) dead load of 0.8 kip/ft plus its own self weight, and it supports a concentrated service (unfactored) live load of 12 kip as shown. The concrete has f'c = 5,000 psi and the steel is Grade 60. Is this beam safe for bending? Perform parametric analyses showing the effect of the following parameters on the moment capacity and safety: (a) f'c = 4 ksi, 5 ksi, 7 ksi (b) Live load = 8 kips, 14 kips, 20 kips Live load, PL = 12 kips WD = 1 kip/ft + weight of beam ↑ ↑ ↑↑ ↑ ↑ ↑ ↑ ↑ ↑ ↑ ↑ ↑↑ ↑. 6 No, 8 bars 15.5 in. 18 in. - 1 ft 9 ft
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