Assume if the shear stress in steel exceeds about 4.00 x 10 N/m2 the steel ruptu

Question

Assume if the shear stress in steel exceeds about 4.00 x 10 N/m2 the steel ruptures. (a) Determine the shearing force necessary to shear a steel boit 1.15 cm in diameter 38013 2711x Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation·Carry out al intermedate resue at least four-digit accuracy to minimize roundoff error. N to (b) Determine the shearing force necessary to punch a 2.00-cm-diameter hole in a steel plate 0. 450 cm thick. 145141 Your response differs from the correct answer by more than 10%. Double check your cale!ations N Need Help? Laren Submit Answer Save Progress Practice Another Version

Explanation / Answer

Problem 7)

a) Force = Sheer Stress x Area = 4 x 108 x x 0.5752 x 10-4 = 41547.56 N

b) surface area = perimeter x thickness = x 2 x 10-2 x 0.45 x 10-2= 2.827 x 10-4

Force = Shear Stress x Surface Area= 4 x 108 x 2.827 x 10-4 = 113097.24 N

Problem 8)

Elongation, L   = FL/AE = mg L / AE

        or L   = (195 x 9.81 x 4.80)/(2 x 10-5 x 8 x 1010) = 5.74 x 10-3 = 5.74 mm

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