Given the beam cross-section in Figure 1 and the material strengths in Table 1, please find:1. MCR and PCR (Negative bending so the top fiber is in tension)2. Steel stress before and after cracking (p = A/bd)3. Curvature after cracking when M = MCR, My, and dy24"12"Figure 1- Beam cross-section-3#8-4#4Table 1- Material strengthsfy80 ksi0.2 in²As #4d17.5 in.fcAs #86000 psi0.79 in²r bo

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Answered: Given the beam cross-section in 1. MCR…

Given the beam cross-section in 1. MCR and OCR (Negative be: 2. Steel stress before and aft 3. Curvature after cracking v

Materials Science And Engineering Properties

1st Edition

ISBN:9781111988609

Author:Charles Gilmore

Publisher:Charles Gilmore

Chapter14: Material Selection

Section: Chapter Questions

Problem 11ETSQ

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Question

Given the beam cross-section in Figure 1 and the material strengths in Table 1, please find:
1. MCR and PCR (Negative bending so the top fiber is in tension)
2. Steel stress before and after cracking (p = A/bd)
3. Curvature after cracking when M = MCR, My, and dy
24"
12"
Figure 1- Beam cross-section
-3#8
-4#4
Table 1- Material strengths
fy
80 ksi
0.2 in²
As #4
d
17.5 in.
fc
As #8
6000 psi
0.79 in²
r bo

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Step 2: Locate neutral axis

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Step 3: Locate neutral axis

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Step 4: Determine M-cr and phi-cr

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Step 5: Compute steel stress before cracking

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Step 6: Compute steel stress after cracking

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Step 7: Compute curvature after cracking M=Mcr

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