Problem 1 [30pts] The cross section of a rectangular beam having width b and height h is shown in part a of Figure 1. For reasons unknown to the beam designer, it is planned to add structural projections of width b/9 and height d to the top and bottom of the beam (see part b of Figure 1). b d h h For what values of d is the section modulus S of the beam increased? For what values is it d decreased? b (b) Hint: Express the section modulus S of the modified section as a function of d. Then divide S by the section modulus of the original section, and plot the result as a function of d/h. The plot will indicate for which values of d, in reference to h, the new section modulus is (a) Figure 1. 2013 Cengage Learning Engineering. All Rights Reserved

Problem 1 [30pts] The cross section of a rectangular beam having width b and height h is shown in part a of Figure 1. For reasons unknown to the beam designer, it is planned to add structural projections of width b/9 and height d to the top and bottom of the beam (see part b of Figure 1). b d h h For what values of d is the section modulus S of the beam increased? For what values is it d decreased? b (b) Hint: Express the section modulus S of the modified section as a function of d. Then divide S by the section modulus of the original section, and plot the result as a function of d/h. The plot will indicate for which values of d, in reference to h, the new section modulus is (a) Figure 1. 2013 Cengage Learning Engineering. All Rights Reserved

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter9: Deflections Of Beams

Section: Chapter Questions

Problem 9.11.4P: A simple beam AB of length L and height h (see figure) is heated in such a manner that the...

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