Brass Steel shaft di = 70 mm dz = 90 mm sleeve T T A -1.0 m→ IC - 20 m. -늘-20m Brass Steel. shaft sleeve d2 d2
A steel shaft (Gs = 80 GPa) of total length
L = 3.0 m is encased for one-third of its length by a
brass sleeve (Gb =40 GPa) that is securely bonded
to the steel (see figure). The outer diameters of the
shaft and sleeve are d1 = 70 mm and d2 = 90 mm,
respectively.
(a) Determine the allowable torque T1 that may be
applied to the ends of the shaft if the angle of
twist between the ends is limited to 8.0°.
(b) Determine the allowable torque T2 if the shear
stress in the brass is limited to τb = 70 MPa.
(c) Determine the allowable torque T3 if the shear
stress in the steel is limited to τs = 110 MPa.
(d) What is the maximum allowable torque Tmax if
all three of the preceding conditions must be
satisfied?
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