Mechanics of Materials: An Integrated Learning System – Solution Manual 3rd. Edition by Philpot, Timothy A. | Holooly

Mechanics of Materials: An Integrated Learning System – Solution Manual [EXP-8770]

1200 SOLVED PROBLEMS

Question: 5.47

A 0.5-in.-diameter steel [E = 30,000 ksi] bolt (1) is placed in a copper tube (2), as shown in Figure P5.47. The copper [E = 16,000 ksi] tube has an outside diameter of 1.00 in., a wall thickness of 0.125 in., and a length of L = 8.0 in. Rigid washers, each with a thickness of t = 0.125 in., cap

Verified Answer:

Equilibrium: The force induced in the bolt by adva...

Question: 13.50

A 0.75-in.-thick polymer [E = 470,000 psi; ν = 0.37] casting is subjected to biaxial stresses of σx = 2,500 psi and σy = 8,300 psi, acting in the directions shown in Figure P13.50. The dimensions of the casting are b = 12.0 in. and h = 8.0 in. Determine (a) the change in length of edges AB and AD.

Verified Answer:

(a) From the generalized Hooke’s Law equations for...

Question: 3.4

A 0.75-in.-thick rectangular alloy bar is subjected to a tensile load P by pins at A and B as shown in Figure P3.4/5. The width of the bar is w = 3.0 in. Strain gages bonded to the specimen measure the following strains in the longitudinal (x) and transverse (y) directions: εx = 840 με and

Verified Answer:

(a) Poisson’s ratio for this specimen is

v=...

Question: 5.51

A 0.875-in.-diameter by 15-ft-long steel rod (1) is stress free after being attached to rigid supports. A clevis-and-bolt connection, as shown in Figure P5.50/51, connects the rod with the support at A. The normal stress in the steel rod must be limited to 18 ksi, and the shear stress in the bolt

Verified Answer:

Section properties: For the 0.875-in.-diameter rod...

Question: 5.11

A 1-in.-diameter by 16-ft-long cold-rolled bronze bar [E = 15,000 ksi and γ = 0.320 lb/in^3] hangs vertically while suspended from one end. Determine the change in length of the bar due to its own weight.

Verified Answer:

An incremental length dy of the bar has an increme...

Question: 9.18

A 1.00-in.-diameter solid steel shaft supports loads PA = 200 lb and PD = 240 lb, as shown in Figure P9.18. Assume L1 = 2 in., L2 = 5 in., and L3 = 4 in. The bearing at B can be idealized as a pin support and the bearing at C can be idealized as a roller support. Determine the magnitude and

Verified Answer:

Section properties:

\begin{aligned}I &...

Question: 6.99

A 1.25-in. -diameter shaft contains a 0.25-in.-deep U-shaped groove that has a 1/8-in. radius at the bottom of the groove. The maximum shear stress in the shaft must be limited to 12,000 psi. If the shaft rotates at a constant angular speed of 6 Hz, determine the maximum power that may be delivered

Verified Answer:

Groove: From Fig. 6.17a:

\begin{aligned}&am...

Question: 15.43

A 1.25-in.-diameter solid shaft is subjected to an axial force of P = 360 lb, a vertical force of V = 215 lb, and a concentrated torque of T = 430 lb-in., acting in the directions shown in Fig. P15.43. Assume L = 4.5 in. Determine the normal and shear stresses at (a) point H and (b) point K.

Verified Answer:

Section properties:

\begin{array}{ll}A=\fra...

Question: 12.14

A 1.25-in.-diameter solid shaft is subjected to an axial force of P = 520 lb, a horizontal shear force of V = 275 lb, and a concentrated torque of T = 880 lb-in., acting in the directions shown in Figure P12.14. Assume L = 7.0 in. Determine the normal and shear stresses at (a) point H and (b) point

Verified Answer:

Section properties:

\begin{array}{ll}A=\fr...

Question: 15.85

A 1.25-in.-diameter solid shaft is subjected to an axial force of P = 7,000 lb, a horizontal force of V = 1,400 lb, and a concentrated torque of T = 220 lb-ft, acting in the directions shown in Figure P15.85. Assume L = 6.0 in. The ultimate failure strengths for this material are 36 ksi in tension

Verified Answer:

Section properties:

\begin{array}{ll}A=\fra...

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