The 100 mm diameter steel bar is bored to 50 mm diameter over half its length as shown in Figure Q2. Under an axially applied torque, T the depth of plastic penetration in the hollow shaft section is 20 mm. The shear yield stress of the tube material is given as 280 MPa. a) Find the magnitude of torque applied to the shaft b) Show the state of condition (elastic, partial plasticity or fully plastic) in the solid shaft c) Calculate the depth of plastic penetration in the solid shaft, if any d) Sketch the shearing stress distribution in the solid and hollow shafts 100 mm 50 mm Figure Q2

The 100 mm diameter steel bar is bored to 50 mm diameter over half its length as shown in Figure Q2. Under an axially applied torque, T the depth of plastic penetration in the hollow shaft section is 20 mm. The shear yield stress of the tube material is given as 280 MPa. a) Find the magnitude of torque applied to the shaft b) Show the state of condition (elastic, partial plasticity or fully plastic) in the solid shaft c) Calculate the depth of plastic penetration in the solid shaft, if any d) Sketch the shearing stress distribution in the solid and hollow shafts 100 mm 50 mm Figure Q2

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter8: Applications Of Plane Stress (pressure Vessels, Beams, And Combined Loadings)

Section: Chapter Questions

Problem 8.2.12P: Solve the preceding problem if the diameter is 480 mm, the pressure is 20 MPa, the yield stress in...

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