Question 272: Properties of Matter

Question

A square aluminum (shear modulus is $$25 	imes 10^{9}\, \mathrm{Nm}^{-2}$$) slab of side $$60 \mathrm{~cm}$$ and thickness $$15 \mathrm{~cm}$$ is subjected to a shearing force (on its narrow face) of $$18.0 	imes 10^{4}$$ $$\mathrm{N}$$. The lower edge is riveted to the floor. The displacement of the upper edge is ____________ $$\mu$$m.

Accepted Answer

$$Y = {{Fl} \over {A\Delta l}}$$
$$\Delta l = {{Fl} \over {YA}}$$
$$ = {{18 	imes {{10}^4} 	imes 60 	imes {{10}^{ - 2}}} \over {25 	imes {{10}^9} 	imes 60 	imes 15 	imes {{10}^{ - 4}}}}$$
$$ = 48 	imes {10^{ - 6}}$$ m

Properties of Matter

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