A mechanical coupling connects a solid shaft with a diameter of 80 mm and a hollow shaft with external and internal diameters of 100 Y and 85 mm, respectively. The allowable stress for the solid shaft is 55 MPa and for the hollow shaft, 60 MPa. The coupling initially consists of a series of 8 aluminum bolts [( tau aluminum ) adm =40 MPayG aluminum =28 GPa] of 12 mm diameter located in a circumference of 250 mm diameter. Determine a) the radius at which an additional series of steel bolts [( tau steel ) adm =60 MPa and G steel =83 GPa] of 8 mm diameter must be placed to support the maximum allowable torque, b) the number of steel bolts necessary to support the specified torque and c) the power of a motor that can transmit that torque by turning the array at 1.25 rev/s

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 3.3.12P: A propeller shaft for a small yacht is made of a solid steel bar 104 mm in diameter. The allowable...
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A mechanical coupling connects a solid shaft with a diameter of 80 mm and a hollow shaft with external and internal diameters of 100 Y and 85 mm, respectively. The allowable stress for the solid shaft is 55 MPa and for the hollow shaft, 60 MPa. The coupling initially consists of a series of 8 aluminum bolts [( tau aluminum ) adm =40 MPayG aluminum =28 GPa] of 12 mm diameter located in a circumference of 250 mm diameter. Determine a) the radius at which an additional series of steel bolts [( tau steel ) adm =60 MPa and G steel =83 GPa] of 8 mm diameter must be placed to support the maximum allowable torque, b) the number of steel bolts necessary to support the specified torque and c) the power of a motor that can transmit that torque by turning the array at 1.25 rev/s
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