The following diagram shows a beam under two concentrated symmetric loads. The diagram also shows the general shape of the shear and bending moment distribution. 1/3 US section modulus: S-bd²/6 P = 5 kp bending stress: f. = M/S L- 24 ft BEAM LOADING DIAGRAM 1/3 <- 5 kp d. The beam cross section is a rectangle, 16" wide by 20" deep. Assuming uncracked concrete condition, calculate the beam section modulus and maximum bending stress under the indicated loads. e. Determine if the calculated stress exceeds concrete cracking limit and the beam would crack under these loads. Assume the concrete maximum tension strength is 400 psi.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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2.8
The following diagram shows a beam under two concentrated symmetric loads. The diagram also shows the general shape
of the shear and bending moment distribution.
min.
1/3
U/3
section modulus: S=bd²/6
5 kp
L-24 ft
BEAM LOADING DIAGRAM
bending stress: f₁ = M/S
U/3
- 5 kp
d. The beam cross section is a rectangle, 16" wide by 20" deep. Assuming uncracked concrete condition,
calculate the beam section modulus and maximum bending stress under the indicated loads.
m
e. Determine if the calculated stress exceeds concrete cracking limit and the beam would crack under these loads.
Assume the concrete maximum tension strength is 400 psi.
Transcribed Image Text:2.8 The following diagram shows a beam under two concentrated symmetric loads. The diagram also shows the general shape of the shear and bending moment distribution. min. 1/3 U/3 section modulus: S=bd²/6 5 kp L-24 ft BEAM LOADING DIAGRAM bending stress: f₁ = M/S U/3 - 5 kp d. The beam cross section is a rectangle, 16" wide by 20" deep. Assuming uncracked concrete condition, calculate the beam section modulus and maximum bending stress under the indicated loads. m e. Determine if the calculated stress exceeds concrete cracking limit and the beam would crack under these loads. Assume the concrete maximum tension strength is 400 psi.
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