A square steel plate is 11.0cm on a side and 0.700cm thick. Assume that the plat

Question

A square steel plate is 11.0cm on a side and 0.700cm thick. Assume that the plate is oriented with the square faces horizontal to the ground. A)Find the shear strain that results if a force of magnitude 1.20×10^6N is applied to the top square face of the plate, parallel to the side, and a force of equal magnitude is applied in the opposite direction to the bottom face of the plate as shown .
Note that the shear modulus of steel in pascals is 7.50×10^10Pa . Shear modulus formula is S=(F/A)/(x/h)
B) Find the displacement in centimeters.

Explanation / Answer

B)S=Fh/Ax

7.5*10^10=1.2*10^6 *.7/11*11*.01x
x=9.25m

displacement=x=9.25*10-4cm

A)shear strain=x/h=9.25*10-4/0.7 =1.32*10-3

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