Bending Stress and Shear Stress

narii
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I have a question that I couldn’t fully understand its logic. The professor asked us to calculate the shear resistance and moment about the X and Y axis, using the given cross-section and the values of compressive and tensile stresses. I understand how to get the moment, but I’m confused about how to find the shear resistance from these stresses. Could you explain or clarify the method?
 
Thread 'Why wasn’t gravity included in the potential energy for this problem?'

Thread 'Why wasn’t gravity included in the potential energy for this problem?'

I’m looking at the attached vibration problem. The solution in the manual includes the spring potential energy but does NOT include the gravitational potential energy of the hanging mass. Can someone explain why gravitational potential energy is not included when deriving the equation of motion? I tried asking ChatGPT but kept going in circles and couldn't figure out. Thanks!
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