How Do Permissible Loads Relate to Bending and Shear Stresses?

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SUMMARY

The discussion focuses on the relationship between permissible loads and bending and shear stresses in structural engineering, specifically concerning T beams. Key equations involve calculating the neutral axis and moment of inertia to determine the controlling stress (compression or tension) for maximum bending moment. The permissible load (P) is derived from these calculations. Participants emphasize the importance of showing work to facilitate understanding and problem-solving.

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  • Understanding of structural engineering principles
  • Familiarity with T beam properties
  • Knowledge of bending moment and shear stress calculations
  • Ability to calculate neutral axis and moment of inertia
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  • Study the calculation of neutral axis for different beam shapes
  • Learn about moment of inertia for various cross-sections
  • Research the relationship between bending moments and shear forces
  • Explore permissible load calculations in structural design
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Structural engineers, civil engineering students, and anyone involved in analyzing beam stresses and permissible loads in construction projects.

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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.
 

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