7th Edition

ISBN: 9780073398235

Author: Ferdinand P. Beer, E. Russell Johnston Jr., John T. DeWolf, David F. Mazurek

Publisher: McGraw-Hill Education

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When a bar of the uniform cross-section is acted by a load, such that the load acts along the longitudinal axis of the bar, such kinds of loadings are known as axial loadings. In general terms, a load is an external force acting on a component. An axial …

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Textbook Question

Chapter 4.6, Problem 73P

4.73 and 4.74 A beam of the cross section shown is made of a steel that is assumed to be elastoplastic with E = 200 GPa and σ_Y = 240 MPa. For bending about the z-axis, determine the bending moment at which (a) yield first occurs, (b) the plastic zones at the top and bottom of the bar are 30 mm thick.

Chapter 4.6, Problem 73P, 4.73 and 4.74 A beam of the cross section shown is made of a steel that is assumed to be

Fig. P4.74

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Chapter 4.6, Problem 72P

Chapter 4.6, Problem 74P

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Question 4: A beam of the cross section shown is made of a steel that is assumed to be elastoplastic with E=29×10° psi and oy = 42 ksi. A bending couple is applied to the beam about the z axis, causing plastic zones 2 in. thick to develop at the top and bottom of the beam. After the couple has been removed, determine (a) the residual stress at y=2 in., (b) the points where the residual stress is zero, (c) the radius of curvature corresponding to the permanent deformation of the beam. 1 in. 2 in. |1 in. 1 in. in. 1 in.

6) Determine the reactions at A and B for the steel bar and loading shown in Fig. I, assuming a close fit at both supports before the loads are applied. A = 250 mm? 150 mm 30X0 KN 150 mm A = 400 mm2 150 mm K 600 kN 150 mm B 7) A steel bar 20 mm square in section is subjected to an axial compressive load of 60 kN. Find the percentage change in volume if the bar is 500 mm long. What are the equal stresses that must be applied to the sides of the bar if the volumetric change is to be zero? E = 200GPA and v=0.3.

4.3 (A). A conveyor beam has the cross-section shown in Fig. 4.24 and it is subjected to a bending moment in the plane YY. Determine the maximum permissible bending moment which can be applied to the beam (a) for bottom flange in tension, and (b) for bottom flange in compression, if the safe stresses for the material in tension and compression are 30 MN/m2 and 150 MN/m? respectively. [32.3, 84.8 kN m.] ŷ ?? 25 150 I mA ? All dimensions in mm 100 50 50-50--50 Fig. 4.24.

Chapter 4 Solutions

Mechanics of Materials, 7th Edition

Ch. 4.3 - 4.1 and 4.2 Knowing that the couple shown acts in...Ch. 4.3 - 4.1 and 4.2 Knowing that the couple shown acts in...Ch. 4.3 - Using an allowable stress of 155 MPa, determine...Ch. 4.3 - Solve Prob. 4.3, assuming that the wide-flange...Ch. 4.3 - Using an allowable stress of 16 ksi, determine the...Ch. 4.3 - Knowing that the couple shown acts in a vertical...Ch. 4.3 - 4.7 and 4.8 Two W4 13 rolled sections are welded...Ch. 4.3 - 4.7 and 4.8 Two W4 13 rolled sections are welded...Ch. 4.3 - 4.9 through 4.11 Two vertical forces are applied...Ch. 4.3 - 4.9 through 4.11 Two vertical forces are applied...

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Solution Summary: The author calculates the moment of inertia of the cross-section of a beam using the relation: I=112bd3.

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Chapter 4 Solutions