Questions from Mechanics

Q: A solid, circular bar ABC consists of two segments, as

A solid, circular bar ABC consists of two segments, as shown in the figure. One segment has a diameter of d1 = 56 mm and length of L1 = 1.45 m; the other segment has a diameter of d2 = 48 mm and lengt...

Q: A hollow tube ABCDE constructed of monel metal is subjected to five

A hollow tube ABCDE constructed of monel metal is subjected to five torques acting in the directions shown in the figure. The magnitudes of the torques are T1 = 1000lb-in, T2 = T4 = 500 lb-in, and T3...

Q: A shaft with a solid, circular cross section consisting of two

A shaft with a solid, circular cross section consisting of two segments is shown in part a of the figure. The left-hand segment has a diameter of 80 mm and length of 1.2 m; the right-hand...

Q: A square wood platform is 8 ft × 8ft in area and

A square wood platform is 8 ft × 8ft in area and rests on masonry walls (see figure). The deck of the platform is constructed of 2-in. nominal thickness tongue-and-groove planks (actual t...

Q: A solid steel shaft ABCDE turns freely in bearings at points A

A solid steel shaft ABCDE turns freely in bearings at points A and E. The shaft is driven by the gear at C, which applies a torque T2 = 325 lb-ft. Gears at B and D are driven by the shaft and have res...

Q: Two sections of steel drill pipe, joined by bolted flange plates

Two sections of steel drill pipe, joined by bolted flange plates at B, are being tested to assess the adequacy of both the pipes. In the test, the pipe structure is fixed at A, a concentrated torque o...

Q: Four gears are attached to a circular shaft and transmit the torques

Four gears are attached to a circular shaft and transmit the torques shown in the figure. The allowable shear stress in the shaft is 10,000 psi. (a) What is the required diameter d of the shaft if it...

Q: A tapered bar AB with a solid circular cross section is twisted

A tapered bar AB with a solid circular cross section is twisted by torques T (see figure). The diameter of the bar varies linearly from dA at the left-hand end to dB at the right-hand end. (a) Confirm...

Q: A tapered bar AB with a solid circular cross section is twisted

A tapered bar AB with a solid circular cross section is twisted by torques T = 36,000 lb-in (see figure). The diameter of the bar varies linearly from dA at the left-hand end to dB at the right-hand e...

Q: The bar shown in the figure is tapered linearly from end A

The bar shown in the figure is tapered linearly from end A to end B and has a solid circular cross section. The diameter at the smaller end of the bar is dA = 25 mm and the length is L = 300 mm. The b...