1
Mechanical Engineering Department
Strength of Material
Please present your answers in a clear way, draw sketches wherever needed, and be
careful about the units.
Note that: Ip = d4/32 for circular cross section, or = P/A , = /L , = PL/AE , t
= T L , = - l / a, P= T and /r = T/Ip = G/L
Q.1 (A) Shear load by Torsion (5 Points)
(a) Determine the maximum shearing stress caused by a
4.6-kN ⋅ m torque T in the 76-mm-diameter shaft
shown. (b) Solve part a, assuming that the solid shaft
has been replaced by a hollow shaft of the same outer
diameter and of 24-mm inner diameter.
(a) Determine the torque T that causes a maximum
shearing stress of 45 MPa in the hollow cylindrical
steel shaft shown. (b) Determine the maximum
shearing stress caused by the same torque T in a solid
cylindrical shaft of the same cross-sectional area.
page 1/8
, 2
page 2/8
Mechanical Engineering Department
Strength of Material
Please present your answers in a clear way, draw sketches wherever needed, and be
careful about the units.
Note that: Ip = d4/32 for circular cross section, or = P/A , = /L , = PL/AE , t
= T L , = - l / a, P= T and /r = T/Ip = G/L
Q.1 (A) Shear load by Torsion (5 Points)
(a) Determine the maximum shearing stress caused by a
4.6-kN ⋅ m torque T in the 76-mm-diameter shaft
shown. (b) Solve part a, assuming that the solid shaft
has been replaced by a hollow shaft of the same outer
diameter and of 24-mm inner diameter.
(a) Determine the torque T that causes a maximum
shearing stress of 45 MPa in the hollow cylindrical
steel shaft shown. (b) Determine the maximum
shearing stress caused by the same torque T in a solid
cylindrical shaft of the same cross-sectional area.
page 1/8
, 2
page 2/8
