Structural Analysis
6th Edition
ISBN: 9781337630931
Author: KASSIMALI, Aslam.
Publisher: Cengage,
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Transcribed Image Text:A beam having the cross-section shown is subjected to a couple that acts in a horizontal plane. Determine the largest permissible value of the moment \( M_0 \) of the couple if the maximum stress in the beam is not to exceed 13 ksi.
Given:
- \( I_y = I_z = 11.3 \, \text{in}^4 \)
- \( A = 4.75 \, \text{in}^2 \)
- \( k_{\text{min}} = 0.983 \, \text{in} \)
**Diagram Explanation:**
The diagram shows an L-shaped section with dimensions as follows:
- The vertical and horizontal parts both have a width of 0.5 in.
- The total height of the vertical section is 5 in.
- The horizontal section extends 5 in. from the corner \( C \).
- The dimension from the bottom of the vertical section to the top surface of the horizontal section is 1.43 in.
- The couple \( M_0 \) acts at point \( C \) about the z-axis.
- The centroid \( B \) is marked at the intersection where the section bends.
The largest permissible value of the moment \( M_0 \) is ________ kip-in.
Expert Solution
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Step 1: Determining extreme fibre distance from neutral axis
z = 1.43 in ( from left side )
z = 5 - 1.43
= 3.57 in ( from right side )
Iy = 11.3 in4
Maximum bending stress = 13 ksi
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