The torsional assembly consists of a cold-rolled stainless steel tube connected to a solid cold-rolled brass segment at flange
C. The assembly is securely fastened to rigid supports at
Aand
D. Stainless steel tube (1) and (2) has an outside diameter of 4 in., a wall thickness of
0.14in., and a shear modulus of
G=11700ksi. The solid brass segment (3) has a diameter of 2.375 in. and a shear modulus of
G=4500ksi. A concentrated torque of
T_(B)=5.3kip-ft is applied to the stainless steel pipe at
B. Assume
L_(1)=55in.,L_(2)=26in., and
L_(3)=25 in. Determine: (a) the maximum shear stress magnitude
\tau _(st )in the stainless steel tube. (b) the maximum shear stress magnitude
\tau _(br)in brass segment (3). (c) the rotation angle
\phi _(C)of flange
CAnswer: (a)
\tau _(st)=?ksi. (b)
\tau _(br)=?ksi. (c)
\phi _(C)=?deg