The solid spindle ab is made of a steel with an allowable shearing stress of 12 ksi, and sleeve cd is made of a brass with an allowable shearing stress of 7 ksi. determine (a) the largest torque t that can be applied at a if the allowable shearing stress is not to be exceeded in sleeve cd, (b) the corresponding required value of the diameter d, of spindle ab.

Question

Zavala

Mathematics

16 July, 02:45

The solid spindle ab is made of a steel with an allowable shearing stress of 12 ksi, and sleeve cd is made of a brass with an allowable shearing stress of 7 ksi. determine (a) the largest torque t that can be applied at a if the allowable shearing stress is not to be exceeded in sleeve cd, (b) the corresponding required value of the diameter d, of spindle ab.

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Frederick Bright · Answer 1

solution:

solid spindle ab:

c = 1/2ds = ½ (1.5) = 0.75in.

j = π/2c1 = π/2 (0.75) 2 = 0.49701 in4

jmax = Tc/j

tab=jtal/c = (0.49701) (12) / 0.75 = 7.952

sleeve cd = c2 = 1/2d2 = ½ (3.0) = 1.5in

j = π/2 (c24 - c14) = π/2 (1.54-1.254) = 4.1172 in4

tab = jtl/c2 = (4.1172) (7) / 1.5 = 19.213 kip. in