Mechanics of Materials 17th. Edition by Ferdinand Beer, Jr., E. Russell Johnston, John DeWolf, David Mazurek | 9780073398235 | 73398233

Mechanics of Materials

2 SOLVED PROBLEMS

192 SOLVED PROBLEMS

Question: 4.SP.5

Beam AB has been fabricated from a high-strength low-alloy steel that is assumed to be elastoplastic with E = 29 × 10^6 psi and σY = 50 ksi. Neglecting the effect of fillets, determine the bending moment M and the corresponding radius of curvature (a) when yield first occurs, (b) when the flanges ...

Verified Answer:

a. Onset of Yield. The centroidal moment of in...

Question: 12.S-P.7

A 12-ft-long overhanging timber beam AC with an 8-ft span AB is to be designed to support the distributed and concentrated loads shown. Knowing that timber of 4-in. nominal width (3.5-in. actual width) with a 1.75-ksi allowable stress is to be used, determine the minimum required depth h of the ...

Verified Answer:

Reactions. Considering the entire beam as a free b...

Question: 11.CA.16

A load P is supported at B by three rods of the same material and the same cross-sectional area A (Fig. 11.42a). Determine the force in each rod. ...

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The structure is statically indeterminate to the f...

Question: 11.CA.14

A load P is supported at B by two rods of the same material and the same cross-sectional area A (Fig. 11.40a). Determine the horizontal and vertical deflection of point B. ...

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We apply a dummy horizontal load Q at B (Fig. 11.4...

Question: 11.CA.11

A torque T is applied at the end D of shaft BCD (Fig. 11.30). Knowing that both portions of the shaft are of the same material and length, but that the diameter of BC is twice the diameter of CD, determine the angle of twist for the entire shaft. ...

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In Concept Application 11.4, the strain energy of ...

Question: 11.CA.6

A body of mass m moving with a velocity v0 hits the end B of the nonuniform rod BCD (Fig. 11.22). Knowing that the diameter of segment BC is twice the diameter of portion CD, determine the maximum value σm of the stress in the rod. ...

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Making n = 2 in Eq. (1) from Concept Application 1...

Question: 11.CA.4

A circular shaft consists of two portions BC and CD of the same material and length, but of different cross sections (Fig. 11.18). Determine the strain energy of the shaft when it is subjected to a twisting couple T at end D. Express the results in terms of T, L, G, the polar moment of inertia J of ...

Verified Answer:

Use Eq. (11.20) to compute the strain energy of ea...

Question: 11.CA.2

A load P is supported at B by two rods of the same material and of the same uniform cross section of area A (Fig. 11.12a). Determine the strain energy of the system. ...

Verified Answer:

Using the forces

F_{B C} \text { and } F_{...

Question: 11.CA.1

A rod consists of two portions BC and CD of the same material, same length, but of different cross sections (Fig. 11.11). Determine the strain energy of the rod when it is subjected to a centric axial load P, expressing the result in terms of P, L, E, the cross-sectional area A of portion CD, and ...

Verified Answer:

Use Eq. (11.14) for the strain energy of each of t...

Question: 10.SP.7

A steel column with an effective length of 16 ft is loaded eccentrically as shown. Using the interaction method, select the wide-flange shape of 8-in. nominal depth that should be used. Assume E = 29 × 10^6 psi and σY = 36 ksi, and use an allowable stress in bending of 22 ksi. ...

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MODELING and ANALYSIS: So that we can select a tri...

Question: A.6

Determine the moment of inertia Ix of the area shown with respect to the centroidal x axis (Fig. A.15a). ...

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Location of Centroid. The centroid C of the area h...

Question: A.5

For the circular area of Fig. A.13a, determine (a) the polar moment of inertia JO, (b) the rectangular moments of inertia Ix and Iy ...

Verified Answer:

a. Polar Moment of Inertia. We choose to select as...