How Do Permissible Loads Relate to Bending and Shear Stresses?

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Permissible loads are directly related to bending and shear stresses in structural engineering. To determine the permissible load, one must first calculate the neutral axis and moment of inertia for the beam in question. The maximum bending moment will be influenced by either tension or compression, depending on which stress is more critical. Once these values are established, the permissible load can be back-calculated from the maximum bending moment. Understanding these relationships is essential for solving related engineering problems effectively.
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Homework Statement



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The Attempt at a Solution



I wasn't 100% sure whether this should be here or in the Engineering section, hopefully I've got it right. Anyway, I'm fairly unfamiliar with this type of problem and basically I'm just looking for an equation that will relate the permissible load to the tension and compression (part a) and an equation relating this permissible load to shear stress (part b). I've had a look through my notes and found nothing thus far.

Thanks to anyone who can help!
 
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This belongs in the engineering section, but anyway, you first have to calculate the neutral axis and moment of inertia of the T beam. Then see which stress (compression or tension) controls the max bending moment, and back solve for P based on that moment. Please show your attempt at calculating some of these values.
 
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