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3.4

Knowing that d = 30 mm, determine the torque T that causes a maximum shearing stress of 52 MPa in the hollow shaft shown.

3.6

(a) Determine the torque that may be applied to a solid shaft of 90-mm outer diameter without exceeding an allowable shearing stress of 75 MPa. (b) Solve part a,

assuming that the solid shaft is replaced by a hollow shaft of the sa me mass and of 90-mm inner diameter.

3.11

Knowing that each of the shafts AB, BC, and CD consists of a solid circular rod, determine (a) the shaft in which the maximum shearing stress occurs, (b) the magnitude of that stress.

3.33

The ship at A ha just started to drill for oil on the ocean floor at a depth of 1500 m. Knowing that the top of the 200 mm diameter steel drill pipe (G = 77 GPa) rotates through two complete revolutions before the drill bit at B starts to operate, determine the maximum shearing stress caused in the pipe by torsion.

3.34

Determine the largest allowable diameter of a 3-m-long steel rod (G = 77 GPa) if the rod is to be twisted through 30° without exceeding a shearing stress of 80 MPa.

3.36

The torques shown are exerted on pulleys B, C , and D. Knowing that the entire shaft is made of aluminum (G = 27 GPa), determine the angle of twist between (a) C and B, (b) D and B.

3.38

The aluminum rod BC (G = 27 GPa) is bonded to the brass rod AB (G = 39 GPa). Knowing that each rod is solid and has a diameter of 12 mm, determine the angle of twist (a) at B, (b) at C.

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Knowing that d = 30 mm, determine the torque T that causes a maximum shearing stress of 52 MPa in the hollow shaft shown.

3.6

(a) Determine the torque that may be applied to a solid shaft of 90-mm outer diameter without exceeding an allowable shearing stress of 75 MPa. (b) Solve part a,

assuming that the solid shaft is replaced by a hollow shaft of the sa me mass and of 90-mm inner diameter.

3.11

Knowing that each of the shafts AB, BC, and CD consists of a solid circular rod, determine (a) the shaft in which the maximum shearing stress occurs, (b) the magnitude of that stress.

3.33

The ship at A ha just started to drill for oil on the ocean floor at a depth of 1500 m. Knowing that the top of the 200 mm diameter steel drill pipe (G = 77 GPa) rotates through two complete revolutions before the drill bit at B starts to operate, determine the maximum shearing stress caused in the pipe by torsion.

3.34

Determine the largest allowable diameter of a 3-m-long steel rod (G = 77 GPa) if the rod is to be twisted through 30° without exceeding a shearing stress of 80 MPa.

3.36

The torques shown are exerted on pulleys B, C , and D. Knowing that the entire shaft is made of aluminum (G = 27 GPa), determine the angle of twist between (a) C and B, (b) D and B.

3.38

The aluminum rod BC (G = 27 GPa) is bonded to the brass rod AB (G = 39 GPa). Knowing that each rod is solid and has a diameter of 12 mm, determine the angle of twist (a) at B, (b) at C.

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