Problem 1: A circular shaft with a diameter of 100 mm and a length of 2 meters is subjected to a torsional moment of 500 Nm. The shaft is made of a material with a shear modulus of 80 GPa. Determine the maximum shear stress and the angle of twist along the length of the shaft. Problem 2: A solid circular shaft of length 3 meters is made of a material with a shear modulus of 60 GPa. The shaft has a diameter of 80 mm and is subjected to a torque of 600 Nm. Due to manufacturing constraints, the maximum allowable shear stress for the material is 60 MPa. Determine if the shaft design is safe and, if not, suggest an alternative design to meet the given constraints.

Problem 1: A circular shaft with a diameter of 100 mm and a length of 2 meters is subjected to a torsional moment of 500 Nm. The shaft is made of a material with a shear modulus of 80 GPa. Determine the maximum shear stress and the angle of twist along the length of the shaft. Problem 2: A solid circular shaft of length 3 meters is made of a material with a shear modulus of 60 GPa. The shaft has a diameter of 80 mm and is subjected to a torque of 600 Nm. Due to manufacturing constraints, the maximum allowable shear stress for the material is 60 MPa. Determine if the shaft design is safe and, if not, suggest an alternative design to meet the given constraints.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter3: Torsion

Section: Chapter Questions

Problem 3.8.3P: A solid circular shaft AB of diameter d is fixed against rotation at both ends (sec figure), A...

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