Solved: If the allowable tensile and compressive stress

Chapter 6, Problem 6-78

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QUESTION:

If the allowable tensile and compressive stress for the beam are \(\left(\sigma_{\text {allow }}\right)_{t}=2 \mathrm{ksi} \text { and }\left(\sigma_{\text {allow }}\right)_{c}=3 \mathrm{ksi}\), respectively, determine the maximum moment M that can be applied on the cross section.

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QUESTION:

If the allowable tensile and compressive stress for the beam are \(\left(\sigma_{\text {allow }}\right)_{t}=2 \mathrm{ksi} \text { and }\left(\sigma_{\text {allow }}\right)_{c}=3 \mathrm{ksi}\), respectively, determine the maximum moment M that can be applied on the cross section.

ANSWER:

Step 1 of 3

Given,

The allowable tensile stress is  

The allowable compressive stress is  

The cross-section:

                                             Diagram, engineering drawing

Description automatically generated

The area of the section 1 from the above figure is given by,

                                                   

The area of section 2 from the above figure is,

                                                   

And the area of section 3 is,

                                                    

 

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