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

The angle of twist in shaft (2) is
TL 2 2
(18kip⋅in.)(36 in.)
φ 2 = =
= 0.034377 rad
4
JG (1.570796 in. )(12,000 ksi)
2 2
Therefore, the rotation angle of gear C is
φC = φB + φ2
= 0.010992 rad + 0.034377 rad = 0.045369 rad = 0.0454 rad Ans.
mecmovies
ExAmpLE
m6.24 An assembly of two solid brass [G = 44 GPa] shafts
connected by gears is subjected to a concentrated torque of
240 N · m, as shown. Shaft (1) has a diameter of 20 mm,
while the diameter of shaft (2) is 16 mm. Rotation at the
lower end of each shaft is prevented. Determine the maximum
shear stress in shaft (2) and the rotation angle at A.
ExERcISES
m6.19 A composite torsion member consists of a tubular shell
(1) bonded to length AB of a continuous solid shaft that extends
from A to C, which is labeled (2) and (3). A concentrated torque T
is applied to the free end C of the shaft in the direction shown.
Determine the internal torques and shear stresses in shell (1) and
core (2) (i.e., between A and B). Also, determine the rotation angle
at end C.
m6.20 A composite torsion member consists of two solid shafts
joined at flange B. Shafts (1) and (2) are attached to rigid supports
at A and C, respectively. A concentrated torque T is applied to
flange B in the direction shown. Determine the internal torques and
shear stresses in each shaft. Also, determine the rotation angle of
flange B.
FIGURE m6.19
FIGURE m6.20
180