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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-

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-

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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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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