Questions from Mechanics


Q: The composite shaft shown in the figure is manufactured by shrink-

The composite shaft shown in the figure is manufactured by shrink-fitting a steel sleeve over a brass core so that the two parts act as a single solid bar in torsion. The outer diameters of the two pa...

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Q: A steel shaft (Gs = 8 0GPa) of total length

A steel shaft (Gs = 8 0GPa) of total length L = 3.0 m is encased for one-third of its length by a brass sleeve (Gb = 4 0GPa) that is securely bonded to the steel (see figure). The outer diameters of t...

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Q: A uniformly tapered aluminum-alloy tube AB of circular cross section

A uniformly tapered aluminum-alloy tube AB of circular cross section and length L is fixed against rotation at A and B, as shown in the figure. The outside diameters at the ends are dA and dB = 2dA. A...

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Q: Two pipes (L1 = 2.5 m and L2 =

Two pipes (L1 = 2.5 m and L2 = 1.5 m) are joined at B by flange plates (thickness tf = 14 mm) with five bolts (dbf = 1 3 mm) arranged in a circular pattern (see figure). Also, each pipe segment is att...

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Q: A motor drives a shaft at 12 Hz and delivers 20 kW

A motor drives a shaft at 12 Hz and delivers 20 kW of power (see figure). (a) If the shaft has a diameter of 30 mm, what is the maximum shear stress Ï„max in the shaft? (b) If the maximum al...

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Q: A motor driving a solid circular steel shaft with diameter d =

A motor driving a solid circular steel shaft with diameter d = 1.5 in. transmits 50 hp to a gear at B. The allowable shear stress in the steel is 6000 psi. Calculate the required speed of rotation (nu...

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Q: A solid steel shaft ABC with diameter d = 40 mm is

A solid steel shaft ABC with diameter d = 40 mm is driven at A by a motor that transmits 75 kW to the shaft at 15 Hz. The gears at B and C drive machinery requiring power equal to 50 kW an...

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Q: The propeller shaft of a large ship has an outside diameter 18

The propeller shaft of a large ship has an outside diameter 18 in. and inside diameter 12 in., as shown in the figure. The shaft is rated for a maximum shear stress of 4500 psi. (a) If the shaft is tu...

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Q: The drive shaft for a truck (outer diameter 60 mm and

The drive shaft for a truck (outer diameter 60 mm and inner diameter 40 mm) is running at 2500 rpm (see figure). (a) If the shaft transmits 150 kW, what is the maximum shear stress in the...

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Q: A beam of rectangular cross section (width b and height h

A beam of rectangular cross section (width b and height h) supports a uniformly distributed load along its entire length L. The allowable stresses in bending and shear are σallow and τallow, respectiv...

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