Strength-of-materials questions

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has been replaced by a hollow shaft of the same outer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.




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, 2


A torque T = 3 kN ⋅ m is applied
to the solid bronze cylinder
shown. Determine (a) the
maximum shearing stress, (b) the
shearing stress at point D which
lies on a 15-mm-radius circle
drawn on the end of the cylinder,
(c) the percent of the torque
carried by the portion of the
cylinder within the 15 mm
radius.




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