405_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

405_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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Unformatted text preview: 05Ch05.qxd 9/24/08 4:59 AM Page 399 SECTION 5.5 Normal Stresses in Beams 399 Problem 5.5-11 A fiberglass pipe is lifted by a sling, as shown in the figure. The outer diameter of the pipe is 6.0 in., its thickness is 0.25 in., and its weight density is 0.053 lb/in.3 The length of the pipe is L 36 ft and the distance between lifting points is s 11 ft. Determine the maximum bending stress in the pipe due to its own weight. s L Solution 5.5-11 Pipe lifted by a sling L 36 ft s 11 ft 132 in. g 0.053 lb/in.3 a (L d2 432 in. s)/2 6.0 in. d1 d2 2t p2 A (d d2) 1 42 t 0.25 in. I p4 (d 64 2 q gA 5.5 in. 4.5160 in.2 d14) 18.699 in.4 (0.053 lb/in.3)(4.5160 in.2) 0.23935 lb/in. MAXIMUM BENDING STRESS 150 in. smax BENDING-MOMENT DIAGRAM smax Mmax c I M1 2,692.7 lb-in. M2 qL L a 42 sb Mmax 2,692.7 lb-in. 2,171.4 lb-in. d2 2 3.0 in. (2,692.7 lb-in.)(3.0 in.) 18.699 in.4 (Tension on top) qa2 2 c 432 psi ; ...
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