2.99 See Answer

Question: A steel shaft (Gs = 8 0GPa) of

A steel shaft (Gs = 8 0GPa) of total length L = 3.0 m is encased for one-third of its length by a brass sleeve (Gb = 4 0GPa) 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?
A steel shaft (Gs = 8 0GPa) of total length L = 3.0 m is encased for one-third of its length by a brass sleeve (Gb = 4 0GPa) 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?





Transcribed Image Text:

Brass Steel d2 = 90 mm di = 70 mm sleeve shaft T +1.0 m -을 -= 2.0 m :2.0 m di Brass Steel- sleeve shaft d2 d2


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2.99

See Answer