Consider a 2 m long shaft held rigidly between two walls. The shaft is loaded by...

 

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Consider a 2 m long shaft held rigidly between two walls. The shaft is loaded by a torque 20 kN-m = 20000 N-m at its center (point B) as shown. Between A and B the shaft is a hollow steel sleeve (G= 80 GPa) with inner radius 3.75 cm and outer radius 5 cm. Between B and C the shaft a brass core (G = 40 GPa) is bonded to the inside of the steel sleeve. A 1m 20 kN-m --- B 2 hollow steel shaft inner radius 3.75 cm outer radius 5.00 cm 1m C Brass core inside steel sleeve inner radius 3.75 cm outer radius 5.00 cm a) Calculate the total reaction torques at A and C as well as the torques in the brass and steel between B and C. Hint: note that the total reaction torque at C has contributions from both the brass and the steel. b) Calculate the maximum shear stress in the steel and the brass. Consider a 2 m long shaft held rigidly between two walls. The shaft is loaded by a torque 20 kN-m = 20000 N-m at its center (point B) as shown. Between A and B the shaft is a hollow steel sleeve (G= 80 GPa) with inner radius 3.75 cm and outer radius 5 cm. Between B and C the shaft a brass core (G = 40 GPa) is bonded to the inside of the steel sleeve. A 1m 20 kN-m --- B 2 hollow steel shaft inner radius 3.75 cm outer radius 5.00 cm 1m C Brass core inside steel sleeve inner radius 3.75 cm outer radius 5.00 cm a) Calculate the total reaction torques at A and C as well as the torques in the brass and steel between B and C. Hint: note that the total reaction torque at C has contributions from both the brass and the steel. b) Calculate the maximum shear stress in the steel and the brass.

Answer rating: 100% (QA)

a To calculate the total reaction torques at A and C we first need to find the torque exerted by the ... View the full answer