Note: Use load factors of 1.0 for D and L for this problem. The beam shown below is made from a homogeneous linear-elastic material. Neglecting the contribution of reinforcing steel, calculate stresses in the top and bottom fibers of the beam for the section of maximum moment (follow common bending theory assumptions from strength of materials). Compute the internal compression and tension force (force couple) acting in this section and their location. Compare the maximum tensile stress found for this beam with the tension strength of concrete (modulus of rupture - see Materials handout). Use fe= 4000 psi. Would the beam be expected to crack at the section of maximum moment? w, =0.8 kip/ft 21.5" 3-# 8 ... 2.5" 12" 20' - 0" Cross Section

Structural Analysis
6th Edition
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Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Note: Use load factors of 1.0 for D and L for this problem.
The beam shown below is made from a homogeneous linear-elastic material. Neglecting the contribution
of reinforcing steel, calculate stresses in the top and bottom fibers of the beam for the section of
maximum moment (follow common bending theory assumptions from strength of materials). Compute
the internal compression and tension force (force couple) acting in this section and their location.
Compare the maximum tensile stress found for this beam with the tension strength of concrete (modulus
of rupture – see Materials handout). Use f.= 4000 psi. Would the beam be expected to crack at the
section of maximum moment?
w, =0.8 kip/ft
21.5"
...
3-#8
2.5"
12"
20 - 0"
Cross
Section
Transcribed Image Text:Note: Use load factors of 1.0 for D and L for this problem. The beam shown below is made from a homogeneous linear-elastic material. Neglecting the contribution of reinforcing steel, calculate stresses in the top and bottom fibers of the beam for the section of maximum moment (follow common bending theory assumptions from strength of materials). Compute the internal compression and tension force (force couple) acting in this section and their location. Compare the maximum tensile stress found for this beam with the tension strength of concrete (modulus of rupture – see Materials handout). Use f.= 4000 psi. Would the beam be expected to crack at the section of maximum moment? w, =0.8 kip/ft 21.5" ... 3-#8 2.5" 12" 20 - 0" Cross Section
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