Optimizing Shear Stress in Structural Analysis

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Homework Help Overview

The discussion revolves around optimizing shear stress in structural analysis, focusing on the sums of forces in different cases of a problem involving equilibrium of forces and moments.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss applying equilibrium principles to determine forces in various cases, with some expressing difficulty in finding necessary equations for case b. Questions arise regarding the completeness of the problem specification and the implications of removing certain forces.

Discussion Status

The discussion is ongoing, with participants exploring different interpretations of the problem setup. Some guidance is offered regarding the potential to express shear in terms of an unknown force, but no consensus has been reached on a definitive approach.

Contextual Notes

Case b) is noted as not fully specified, leading to questions about the assumptions made regarding the forces involved and their effects on shear stress.

alexteplyaxins
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Homework Statement
Determine the largest internal shear force resisted by the bolt.
Relevant Equations
Apply equibrilium state.
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What are the sums of the forces for each case?
 
osilmag said:
What are the sums of the forces for each case?
I just can solve problem ##a## by apply equilibrium of force and momentum to find ##F_a## and ##F_b##. But with case b, I can't find third equation.
Thank for read
 
Boom, boom !
 
alexteplyaxins said:
I just can solve problem ##a## by apply equilibrium of force and momentum to find ##F_a## and ##F_b##. But with case b, I can't find third equation.
Thank for read
Yes, b) is not fully specified. E.g. you could take away all of the shown forces and still have shear on the bolt resulting from tensions and compressions in the members on the left.
You could set one of those on the left as an unknown and find the shears in terms of that, then find the value of the unknown which minimises the maximum shear.
 
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