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05-05ChapGere.0007

# 05-05ChapGere.0007 - 3.1 kips Note Obtain the dimensions...

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356 CHAPTER 5 Stresses in Beams Solution 5.11-10 Beam with cover plates All dimensions in inches. Wide-flange beam ( W 16 3 77): d 5 16.52 in. I beam 5 1110 in. 4 Cover plates: b 5 10 in. t 5 0.5 in. F 5 allowable load per bolt 5 2.1 k V 5 shear force 5 30 k s 5 spacing of bolts in the longitudinal direction Find s max M OMENT OF INERTIA ABOUT THE NEUTRAL AXIS 5 1834 in. 4 F IRST MOMENT OF AREA OF A COVER PLATE M AXIMUM SPACING OF BOLTS s max 5 2(2.1 k)(1834 in. 4 ) (30 k)(42.55 in. 3 ) 5 6.03 in. s 5 2 FI VQ f 5 VQ I 5 2 F s Q 5 bt ¢ d 1 t 2 5 (10)(0.5)(8.51) 5 42.55 in. 3 5 1110 in. 4 1 2 B 1 12 (10)(0.5) 3 1 (10)(0.5)(8.51) 2 R I 5 I beam 1 2 B 1 12 bt 3 1 ( bt ) ¢ d 2 1 t 2 2 R N.A. W 16 3 77 d t = 0.5 t = 0.5 b =10 Problem 5.11-11 Two W 10 3 45 steel wide-flange beams are bolted together to form a built-up beam as shown in the figure. What is the maximum permissible bolt spacing s if the shear force V 5 20 kips and the allowable load in shear on each bolt is F 5
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Unformatted text preview: 3.1 kips? ( Note: Obtain the dimensions and properties of the W shapes from Table E-1.) Solution 5.11-11 Built-up steel beam All dimensions in inches. W 10 3 45: I 1 5 248 in. 4 d 5 10.10 in. A 5 13.3 in. 2 V 5 20 k F 5 3.1 k Find maximum allowable bolt spacing s max . M OMENT OF INERTIA OF BUILT-UP BEAM 5 1174.4 in. 4 I 5 2 B I 1 1 A ¢ d 2 ≤ 2 R 5 2[248 1 (13.3)(5.05) 2 ] F IRST MOMENT OF AREA OF ONE BEAM M AXIMUM SPACING OF BOLTS IN THE LONGITUDINAL DIRECTION s max 5 2(3.1 k)(1174.4 in. 4 ) (20 k)(67.165 in. 3 ) 5 5.42 in. s 5 2 FI VQ f 5 VQ I 5 2 F s Q 5 A ¢ d 2 ≤ 5 (13.3)(5.05) 5 67.165 in. 3 W 10 3 45 W 10 3 45 A-PDF Split DEMO : Purchase from www.A-PDF.com to remove the watermark...
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