Question

A square steel plate is 7.00 cm on a side and 0.500 cm thick. Assume that the plate is oriented with the square faces horizontal to the ground.

Part A

As shown in (Figure 1) a force of magnitude 1.20×10⁶ N is applied to both the top and bottom surfaces of the plate (the square sides). Each of the forces is applied in a direction parallel to the surface they are exerted on, and they point in opposite directions. Find the shear strain caused by these forces.

Note that the shear modulus of steel in pascals is 7.50×10¹⁰ Pa .

Express the strain numerically to three significant figures.

Part B

Find the displacement Δx in centimeters.

Express your answer in centimeters to three significant figures.

Answer 1

49 1.20x106 (7100/10-22 solution 2 Tangential stress = Ã = = 2,449x108 N/m2 so shear strain = Tangentical stress Shear modulers oefsleela = 2.449x168 tiso x lolo = 3.2653X10-3 Shear strain = 3.9653X163) But thickness shear strain = 3,2653x103 2 ox 0.500 3 sx = = 319653x10-3xo.soo cm 163265X10-3 cm. ax = 1 1,63265X10-3