Problem 2: A composite shaft is composed of a solid section AB and a tubular section BC, both of which have circular cross sections. Section AB is made of steel and has a radius of 1 in. Section BC consists of a brass core, with a radius of 0.5 in, surrounded by a steel tube, with an inner radius of 0.5 in and an outer radius of 1 in. Use Gs = 11,500 ksi for steel and Gb = 5600 ksi for brass. The shaft is attached to a fixed support at A, and a torque of T = 50 ft-lb is applied at the free end C. 0.5 in 1 in 2 ft B T = 50 ft-lb 3 ft (a) Calculate the total angle of twist (magnitude only) between A and C. (b) Calculate the maximum shear stress in the brass. (c) Calculate the maximum shear stress in the steel.
Problem 2: A composite shaft is composed of a solid section AB and a tubular section BC, both of which have circular cross sections. Section AB is made of steel and has a radius of 1 in. Section BC consists of a brass core, with a radius of 0.5 in, surrounded by a steel tube, with an inner radius of 0.5 in and an outer radius of 1 in. Use Gs = 11,500 ksi for steel and Gb = 5600 ksi for brass. The shaft is attached to a fixed support at A, and a torque of T = 50 ft-lb is applied at the free end C. 0.5 in 1 in 2 ft B T = 50 ft-lb 3 ft (a) Calculate the total angle of twist (magnitude only) between A and C. (b) Calculate the maximum shear stress in the brass. (c) Calculate the maximum shear stress in the steel.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Problem 2: A composite shaft is composed of a solid section AB and a tubular section BC, both
of which have circular cross sections. Section AB is made of steel and has a radius of 1 in.
Section BC consists of a brass core, with a radius of 0.5 in, surrounded by a steel tube, with an
inner radius of 0.5 in and an outer radius of 1 in. Use Gs = 11,500 ksi for steel and Gb = 5600 ksi
for brass. The shaft is attached to a fixed support at A, and a torque of T = 50 ft-lb is applied at
the free end C.
0.5 in
1 in
2 ft
B
T = 50 ft-lb
3 ft
(a) Calculate the total angle of twist
(magnitude only) between and C.
(b) Calculate the maximum shear stress in the
brass.
(c) Calculate the maximum shear stress in the
steel.
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