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Stress Concentrations The problems for Section 5.13 are to be solved considering the stress-concentration factors. Problem 5.13-1 The beams shown in the figure are subjected to bending moments M 5 2100 lb-in. Each beam has a rectangular cross section with height h 5 1.5 in. and width b 5 0.375 in. (perpendicular to the plane of the figure). (a) For the beam with a hole at midheight, determine the maximum stresses for hole diameters d 5 0.25, 0.50, 0.75, and 1.00 in. (b) For the beam with two identical notches (inside height h 1 5 1.25 in.), determine the maximum stresses for notch radii R 5 0.05, 0.10, 0.15, and 0.20 in. Solution 5.13-1 SECTION 5.13 Stress Concentrations 371 (b) (a) M M M M d h h h 1 2 R M 5 2100 lb-in. h 5 1.5 in. b 5 0.375 in. (a) B EAM WITH A HOLE Eq. (5-57): (1) Eq. (5-56): (2) Note: The larger the hole, the larger the stress.
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This note was uploaded on 09/20/2009 for the course COE 3001 taught by Professor Armanios during the Spring '08 term at Georgia Institute of Technology.

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