Relationship between load and deflection

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jon1984
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Hi,

Below is a very simple answer as to what happens to a beam when it has a load applied.

"When a load is applied to a beam, delfection occours. If not much deflection, then object is stiff. Linear relationship."

How could i further explain this, or is this simple enough?
 
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The linear relationship really only holds true for low strains.