How Do Permissible Loads Relate to Bending and Shear Stresses?

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Homework Statement



http://img150.imageshack.us/img150/756/17311663go9.jpg

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.