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Bending moment

With "bending" you really mean the bending moment. The bending moment in an inner stress within a member (usually beam) that allows it to carry a load. The bending moment doesn't say anything about how much a beam would actually bend (deflect).

Deflection

Deflection measures the actual change in a material you could call "bending." It measures the physical displacement of a member under a load.

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Q: What is the difference between deflection and bending?
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What is the difference between bending moment and deflection?

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