A solid circular shaft will be 2 m long, and its diameter is to be determined. It is made of steelwith a shear modulus of 75 GPa. When the shaft is subjected to a torque of 100 Nm, themaximum shear stress is to remain below 10 MPa and the angle of twist is to remain below 3degrees.i.What is the minimum diameter of the shaft which meets the above requirements?ii.Where is the minimum shear stress in the shaft and what is its value?b)Another shaft is a compound circular shaft formed by two circular shafts which are rigidlyattached along their cross-sections at B, as shown in figure Q3(b). The first section of the shaft,from A to B, is a solid cylinder which has a length of 50 cm and a diameter of 3cm. The secondsection of the shaft, from B to C, is a hollow cylinder with a length of 100 cm, an outer diameterof 3cm and an internal diameter of 2cm. This whole shaft is subjected to a torque of 200 Nm.The material in both sections of the shaft has a shear modulus of 85 GPa.į.Determine the total angle of twist in degrees in the shaft from A to C.ii. If instead the entire 150 cm shaft length was hollow with the same internal and external diametersas the section from B to C, would the total angle of twist increase or decrease? Briefly justify youranswer. A200 NmC3 сm2 cmNot to scaleA50 cm100 cmFigure Q3(b)

When a solid shaft having diameter 'd' and shear modulus 'G' is subjected to pure torsional moment…

A solid circular shaft will be 2 m long, and its diameter is to be determined. It is made of steel with a shear modulus of 75 GPa. When the shaft is subjected to a torque of 100 Nm, the maximum shear stress is to remain below 10 MPa and the angle of twist is to remain below 3 degrees. i. What is the minimum diameter of the shaft which meets the above requirements? ii. Where is the minimum shear stress in the shaft and what is its value?

A solid circular shaft will be 2 m long, and its diameter is to be determined. It is made of steel with a shear modulus of 75 GPa. When the shaft is subjected to a torque of 100 Nm, the maximum shear stress is to remain below 10 MPa and the angle of twist is to remain below 3 degrees. i. What is the minimum diameter of the shaft which meets the above requirements? ii. Where is the minimum shear stress in the shaft and what is its value?

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 3.3.19P: A solid brass bar of diameter d = 1.25 in. is subjected to torques T1as shown in part a of the...

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