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

Elements Of Electromagnetics
7th Edition
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Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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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
Transcribed Image Text: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
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