6. The steel shaft of a socket wrench is 12 mm in diameter and 450 mm long (see figure). If the allowable stress in shear is 76 MPa, what is the maximum permissible torque T that may be exerted with the wrench? Through what angle Ø will the shaft twist under the action of the maximum torque? (Assume G = 81 GPa and disregard any bending of the shaft.) 0/Y 12 mm 450 mm-

Mechanics of Materials (MindTap Course List)
9th Edition
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Author:Barry J. Goodno, James M. Gere
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Chapter3: Torsion
Section: Chapter Questions
Problem 3.3.11P: A circular tube of aluminum is subjected to torsion by torques T applied at the ends (see figure)....
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200 mm
-200 mm
Section X-
6. The steel shaft of a socket wrench is 12 mm in diameter and 450 mm long (see figure). If the
allowable stress in shear is 76 MPa, what is the maximum permissible torque T that may be
exerted with the wrench? Through what angle Ø will the shaft twist under the action of the
maximum torque? (Assume G = 81 GPa and disregard any bending of the shaft.)
..
12 mm
-450 mm-
7. A hollow circular tube of metal is subjected to twisting by torques T applied at the ends (see
figure). The bar is 0.5 m long, and the inside and outside diameters are 30 mm and 40 mm,
respectively. It is determined by measurement that the angle of rotation Ø is 3.57° when the
torque T is 600 N -m. Calculate the shear modulus of elasticity G for the material.
30 mm
40 mm
0.5 m
8. A hollow shaft has outer diameter d, = 90 mm and inner diameter d,= 64 mm (see figure).
Calculate the shear stresses t, and T, acting on elements at the outer and inner surfaces,
respectively, due to the torque T= 5500 N-m. Draw a sketch showing how the shear stresses t
vary in magnitude along a radial line.
d.-64 mm
-
d, = 90 mm
9.
Construct shear-force and bending-moment diagrams for the beam with an overhang shown in
Figure below, The beam is subjected to a uniform load of constant intensity q = 1.0 kN/m on the
overhang and a counterclockwise couple M, = 12.0 kN-m acting midway between the supports.
Construct the BMD and SFD first
q- L0 kN/m
Mo = 12.0 kN m
B
-L/2 = 8 m L/2 = 8 m-
b=4 m R,
R,
10. Determine the shear force V and bending moment M at the middle of the simple beam AB shown
in the figure. Construct the BMD and SFD first
18 kN
15 kN/m
Transcribed Image Text:200 mm -200 mm Section X- 6. The steel shaft of a socket wrench is 12 mm in diameter and 450 mm long (see figure). If the allowable stress in shear is 76 MPa, what is the maximum permissible torque T that may be exerted with the wrench? Through what angle Ø will the shaft twist under the action of the maximum torque? (Assume G = 81 GPa and disregard any bending of the shaft.) .. 12 mm -450 mm- 7. A hollow circular tube of metal is subjected to twisting by torques T applied at the ends (see figure). The bar is 0.5 m long, and the inside and outside diameters are 30 mm and 40 mm, respectively. It is determined by measurement that the angle of rotation Ø is 3.57° when the torque T is 600 N -m. Calculate the shear modulus of elasticity G for the material. 30 mm 40 mm 0.5 m 8. A hollow shaft has outer diameter d, = 90 mm and inner diameter d,= 64 mm (see figure). Calculate the shear stresses t, and T, acting on elements at the outer and inner surfaces, respectively, due to the torque T= 5500 N-m. Draw a sketch showing how the shear stresses t vary in magnitude along a radial line. d.-64 mm - d, = 90 mm 9. Construct shear-force and bending-moment diagrams for the beam with an overhang shown in Figure below, The beam is subjected to a uniform load of constant intensity q = 1.0 kN/m on the overhang and a counterclockwise couple M, = 12.0 kN-m acting midway between the supports. Construct the BMD and SFD first q- L0 kN/m Mo = 12.0 kN m B -L/2 = 8 m L/2 = 8 m- b=4 m R, R, 10. Determine the shear force V and bending moment M at the middle of the simple beam AB shown in the figure. Construct the BMD and SFD first 18 kN 15 kN/m
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