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

mecmovies
ExAmpLES
m6.19 A composite shaft consists of a hollow aluminum
[G = 26 GPa] shaft (1) bonded to a hollow bronze [G =
38 GPa] shaft (2). The outside diameter of shaft (1) is 50 mm,
and the inside diameter is 42 mm. The outside diameter of
shaft (2) is 42 mm, and the inside diameter is 30 mm. A concentrated
torque T = 1,400 N · m is applied to the composite
shaft at the free end B. Determine
(a) the torques T 1 and T 2 developed in the aluminum and
bronze shafts.
(b) the maximum shear stresses τ 1 and τ 2 in each shaft.
(c) the angle of rotation of end B.
m6.20 A composite shaft consists of a hollow steel [G =
75 GPa] shaft (1) connected to a solid brass [G = 40 GPa] shaft
(2) at flange B. The outside diameter of shaft (1) is 50 mm, and
the inside diameter is 40 mm. The outside diameter of shaft
(2) is 50 mm. A concentrated torque T = 1,000 N · m is applied
to the composite shaft at flange B. Determine
(a) the torques T 1 and T 2 developed in the steel and brass
shafts.
(b) the maximum shear stresses τ 1 and τ 2 in each shaft.
(c) the angle of rotation of flange B.
ExAmpLE 6.9
1.50 in.
(1)
A (1)
A composite shaft assembly
consists of an inner
T stainless steel [G = 12,500
2.75 in. T
(2)
x ksi] core (2) connected by
2.50 in.
rigid plates at A and B to
(2)
the ends of a brass [G =
B
5,600 ksi] tube (1). The
Cross-sectional dimensions.
cross-sectional dimensions
of the assembly are shown.
The allowable shear stress of the brass tube (1) is 12 ksi, and the allowable shear stress of the
stainless steel core (2) is 18 ksi. Determine the maximum torque T that can be applied to the
composite shaft.
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