424_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

424_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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Problem 5.6-9 A beam ABC with an overhang from B to C is constructed of a C 10 30 channel section (see figure). The beam supports its own weight (30 lb/ft) plus a triangular load of maximum intensity q 0 acting on the overhang. The allowable stresses in tension and compression are 20 ksi and 11 ksi, respectively. Determine the allowable triangular load intensity q 0 , allow if the distance L equals 3.5 ft. 418 CHAPTER 5 Stresses in Beams (Basic Topics) Solution 5.6-9 N UMERICAL DATA from Table E-3(a) M AX . MOMENT IS AT ( TENSION TOP , COMPRESSION BOTTOM ) M B 1 2 wL 2 + 1 3 q 0 L 2 M B wL L 2 + 1 2 q 0 L a 2 3 L b B I 22 3.93 in. 4 c 1 2.384 in. c 2 0.649 in. L 3.5 ft w 30 lb ft s at 20 ksi s ac 11 ksi check tension on top check compression on bottom q 0allow 1314 lb ft q 0allow 3 L 2 c s ac a I 22 c 2 b 1 2 wL 2 d q 0allow 628 lb/ft ; governs q 0allow 3 L
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