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Solid Mechanics · cantilever

Intro

A cantilever beam is rigidly fixed at the wall and carries one downward load P at its free end. Where is the deflection greatest, and where would the beam fail first?

FIG. 1CANTILEVER, SETUP

Explain your reasoning in your own words: the where and the why.

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1 / 2 checkpoints

Greatest deflection is at the free end.Right, the tip travels the most; it is farthest from the support.
Highest stress, and first failure, is at the fixed wall.The moment M = PL is largest at the wall, so σ = Mc/I peaks there, not at the tip.

FIG. 2SOLUTION

Engy is a technical-interview trainer for mechanical engineers. Work through rigorous, visual problems the way a sharp interviewer would actually ask them, then get shown precisely where your reasoning goes wrong, not just whether the final number matched.

Intermediate

A cantilever beam carries a load at its free tip. Where does it bend the most, and where does it fail first?

FIG. 1SETUP

Explain your reasoning in your own words: the where and the why.

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Questions

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