Write the expression for sagging of a cuboidal beam of given dimensions , loaded at its centre.
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In one of my physics textbooks there is a chapter on the elasticity of materials which contains pretty basic outline about Young's modulus, stress-strain, elastic potential energy and related stuff. There is only one thing stated in the book which I didn't understand, which is this:
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Consider an elastic beam rigidly supported at both its ends in a horizontal fashion, which is loaded with a weight WW at the centre. It's length is ll, breadth is bb, depth is dd and the Young's modulus is YY. Then the beam sags by an amount δδ which is given by:
δ=Wl34bd3Y
δ=Wl34bd3Y
The book says that it can be derived easily with basic concepts of elasticity and
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