Timothy A. Philpot - Mechanics of materials _ an integrated learning system-John Wiley (2017)

mecmovies
ExAmpLES
m6.4 Determine the torque T that causes a maximum shearing
stress of 50 MPa in the hollow shaft. The outside diameter
of the shaft is 40 mm, and the wall thickness is 5 mm.
m6.7 A solid circular driveshaft connects a motor A to gears
B and C. The torque on gear B is 600 N · m, and the torque on
gear C is 200 N · m, acting in the directions shown. The driveshaft
is steel [G = 66 MPa] with a diameter of 25 mm.
(a) Determine the maximum shear stress in shafts (1) and (2).
(b) Determine the rotation angle of C with respect to A.
m6.5 Determine the minimum
permissible diameter
for a solid shaft subjected to a
torque of 5 kN · m. The allowable
shear stress for the shaft
is 65 MPa.
m6.6 A single torque of T = 50 N · m is applied to a compound
torsion member. Segment (1) is a 32 mm diameter
solid brass [G = 37 GPa] rod. Segment (2) is a solid aluminum
[G = 26 GPa] rod. Determine the minimum diameter of
the aluminum segment if the rotation angle at C relative to
the support A must not exceed 3°.
m6.8 The solid steel [G = 80 GPa] shaft between coupling
A and gear B has a diameter of 35 mm. Between gears B and
C, the diameter of the solid shaft is reduced to 25 mm. At
gear B, a 20 N · m concentrated torque is applied to the shaft
in the direction indicated. A concentrated torque T C will be
applied at gear C. If the total angle of rotation at C is not to
exceed 1°, determine the magnitude of torque T C that can be
applied in the direction shown.
ExERcISE
m6.1 Ten basic torsion problems involving internal torques,
shear stress, and angles of twist for a multisegment shaft.
FIGURE m6.1
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