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Mechanical and structural analysis miscellaneous

Mechanics and Structural Analysis

  1. The maximum and minimum shear stresses in a hollow circular shaft of outer diameter 20 mm and thickness 2 mm, subjected to a torque of 92.7 Nm will be
    1. 59 MPa and 47.2 MPa
    2. 100 MPa and 80 MPa
    3. 118 MPa and 160 MPa
    4. 200 MPa and 160 MPa
Correct Option: B

τ
=
T
rJ


τmax =
T.rmax
J

=
92.7 × 10 × 1000
(π/32) × (204 - 104)

≈ 100 N/mm2
τmax is at r = 16/2 = 8 mm
τmax = (100/10) × rmin = 80 N/mm2 = 80 mPa



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