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Answer to Question #5700 in Mechanics | Relativity for Jessica

Question #5700
If the shear stress in steel exceeds about 4.10 108 N/m2, the steel ruptures.
(a) Determine the shearing force necessary to shear a steel bolt 1.00 cm in diameter.
Expert's answer
This is an elasticity of shape type problem.
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" alt="">
We use the cross-sectional area for the bolt (pR2) because that is how much steel is being sheered.

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