(a) If the beam A-D has a rectangular cross section as shown in Figure. 3.1 - (i), determine the optimal position (x) of the two supports so that the beam A-D can carry the largest load without failure of the structure. Also, find the corresponding maximum allowable q. Take h=300 mm and b=22 mm. (b) Now reconsider the beam A-D with an asymmetric "I"-shaped cross section in Figure. 3.1 -(ii). If the magnitude of the distributed load q is equal to 137 kN/m and the overhang x is equal to 137 mm, find the maximum compressive and tensile stresses in the beam. Take h-30 mm, h2-240 mm, and h3-30 mm for heights, and bi=40 mm, b2=22 mm, and b3=60 mm for widths. Is the beam safe with this configuration?
(a) If the beam A-D has a rectangular cross section as shown in Figure. 3.1 - (i), determine the optimal position (x) of the two supports so that the beam A-D can carry the largest load without failure of the structure. Also, find the corresponding maximum allowable q. Take h=300 mm and b=22 mm. (b) Now reconsider the beam A-D with an asymmetric "I"-shaped cross section in Figure. 3.1 -(ii). If the magnitude of the distributed load q is equal to 137 kN/m and the overhang x is equal to 137 mm, find the maximum compressive and tensile stresses in the beam. Take h-30 mm, h2-240 mm, and h3-30 mm for heights, and bi=40 mm, b2=22 mm, and b3=60 mm for widths. Is the beam safe with this configuration?
Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter6: Stresses In Beams (advanced Topics)
Section: Chapter Questions
Problem 6.4.9P: A wood beam AB with a rectangular cross section (4 in. × 6 in.) serving as a roof purlin is simply...
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