The cantilever-reinforced concrete beam shown in Figure 1 is subjected to a uniform load (including beam weight) and a concentrated load at the free end of the beam. 1.) Determine the cracking moment capacity, . 2.) Calculate the maximum unfactored applied moment and state whether the concrete beam has cracked under the applied loads. 3.) Compute the maximum compressive stress of concrete at the bottom of the beam and the maximum tensile stress at the centroid of the steel bars. Can you work it out and show all the steps on paper, and any other helpful little steps to explain the process
The cantilever-reinforced concrete beam shown in Figure 1 is subjected to a uniform load (including beam weight) and a concentrated load at the free end of the beam. 1.) Determine the cracking moment capacity, . 2.) Calculate the maximum unfactored applied moment and state whether the concrete beam has cracked under the applied loads. 3.) Compute the maximum compressive stress of concrete at the bottom of the beam and the maximum tensile stress at the centroid of the steel bars. Can you work it out and show all the steps on paper, and any other helpful little steps to explain the process
Steel Design (Activate Learning with these NEW titles from Engineering!)
6th Edition
ISBN:9781337094740
Author:Segui, William T.
Publisher:Segui, William T.
Chapter9: Composite Construction
Section: Chapter Questions
Problem 9.2.1P: A W1422 acts compositely with a 4-inch-thick floor slab whose effective width b is 90 inches. The...
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The cantilever-reinforced concrete beam shown in Figure 1 is subjected to a uniform load (including beam weight) and a concentrated load at the free end of the beam.
1.) Determine the cracking moment capacity, .
2.) Calculate the maximum unfactored applied moment and state whether the concrete beam has cracked under the applied loads.
3.) Compute the maximum compressive stress of concrete at the bottom of the beam and the maximum tensile stress at the centroid of the steel bars.
Can you work it out and show all the steps on paper, and any other helpful little steps to explain the process.
Transcribed Image Text:3"
↓
#6
26"
4 #9
16"
Section A-A'
#6
6"
28"
Normal Weight Concrete
f'c = 5000 psi
Gr. 60 steel
A'
A
1.2 K/ (including beam weight)
12ft
Figure 1
5k
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Step 1: Introduce the problem statement
VIEWStep 2: Compute modulus of rupture
VIEWStep 3: Compute gross moment of inertia
VIEWStep 4: Compute cracking moment capacity
VIEWStep 5: Compute maximum unfactored applied moment
VIEWStep 6: Applying transformed area method
VIEWStep 7: Compute moment of inertia of the transformed section
VIEWStep 8: Compute maximum stress at bottom of beam and at the centroid of steel bars
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