478_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

478_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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Problem 5.11-9 The T-beam shown in the figure is fabricated by welding together two steel plates. If the allowable load for each weld is . in the longitudinal direction, what is the maximum allowable shear force ? V 1.8 k/in 472 CHAPTER 5 Stresses in Beams (Basic Topics) Solution 5.11-9 T-beam (welded) L OCATION OF NEUTRAL AXIS ( AXIS ) c 1 ± 3.966 in. c 1 ± h ² c 2 c 2 ± 2.034 in. c 2 ± bt 2 t 2 2 + t 1 h 1 a h 1 2 + t 2 b A z A ± bt 2 + h 1 t 1 A ± 5.55 in. 2 h ± 6 in. t 2 ± 0.5 in. t 1 ± 0.6 in. b ± 4.5 in. h 1 ± 5.5 in. F allow ± 1.8 k in. M OMENT OF INERTIA ABOUT THE NEUTRAL AXIS F IRST MOMENT OF AREA OF FLANGE M AXIMUM ALLOWABLE SHEAR FORCE ; V max ± 18.30 k V max ± 2 F allow I Q f ± VQ I ± 2 F Q ± b t 2 a c 2 ² t 2 2 b Q ± 4.014 in. 3 I ± 20.406 in. 4 + 1 12 b t 2 3 + bt 2 a c 2 ² t
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Unformatted text preview: 2 2 b 2 I 1 3 t 1 c 1 3 + 1 3 t 1 1 c 2 t 2 2 3 z y C 0.5 in. 0.6 in. 4.5 in. 5.5 in. Problem 5.11-10 A steel beam is built up from a W wide-flange beam and two cover plates (see figure). The allowable load in shear on each bolt is . What is the required bolt spacing in the longitudinal direction if the shear force = 110kN ( Note: Obtain the dimensions and moment of inertia of the W shape from Table E-1(b).) V s 9.8 kN 180 mm * 9 mm 410 * 85 z y O 180 mm 9 mm cover plates W 410 85 05Ch05.qxd 9/25/08 2:29 PM Page 472...
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This note was uploaded on 12/22/2011 for the course MEEG 310 taught by Professor Staff during the Fall '11 term at University of Delaware.

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