05-05ChapGere.0006 - 2 5 23.455 in. 4 5 1 3 (0.5)(4.4773) 3...

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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 2.0 k/in. in the longitudinal direction, what is the maximum allowable shear force V ? Solution 5.11-9 T-beam (welded) SECTION 5.11 Built-Up Beams 355 z y C 0.5 in. 0.5 in. 6 in. 5 in. All dimensions in inches. F 5 allowable load per inch of weld F 5 2.0 k/in. b 5 5.0 t 5 0.5 h 5 6.5 h 1 5 6.0 V 5 shear force Find V max L OCATION OF NEUTRAL AXIS ( z AXIS ) Use the lower edge of the cross section (line B-B) as a reference axis. 5 (5)(0.5)(0.25) 1 (6)(0.5)(3.5) 5 11.25 in. 3 Q BB 5 ( bt ) ¢ t 2 1 ( h 1 t ) ¢ h 2 h 1 2 A 5 bt 1 h 1 t 5 (5)(0.5) 1 (6)(0.5) 5 5.5 in. 2 c 1 5 h 2 c 2 5 4.4773 in. M OMENT OF INERTIA ABOUT THE NEUTRAL AXIS F IRST MOMENT OF AREA OF FLANGE S HEAR FLOW AT WELDS M AXIMUM ALLOWABLE SHEAR FORCE V max 5 2 FI Q 5 2(2.0 k / in.)(23.455 in. 4 ) 4.4318 in. 3 5 21.2 k f 5 2 F 5 VQ I Q 5 bt ¢ c 2 2 t 2 5 (5)(0.5)(1.7727) 5 4.4318 in. 3 1 (5)(0.5)(1.7727)
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Unformatted text preview: 2 5 23.455 in. 4 5 1 3 (0.5)(4.4773) 3 1 1 3 (0.5)(1.5227) 3 1 1 12 (5)(0.5) 3 I 5 1 3 tc 1 3 1 1 3 t ( c 2 2 t ) 3 1 1 12 bt 3 1 ( bt ) c 2 2 t 2 2 c 2 5 Q BB A 5 11.125 in. 3 5.5 in. 2 5 2.0227 in. z y C t t h b h 1 B B c 1 c 2 Problem 5.11-10 A steel beam is built up from a W 16 3 77 wide-flange beam and two 10 in. 3 1/2 in. cover plates (see figure on the next page). The allowable load in shear on each bolt is 2.1 kips. What is the required bolt spacing s in the longitudinal direction if the shear force V 5 30 kips? ( Note: Obtain the dimensions and moment of inertia of the W shape from Table E-1.) z y O 10 in. 3 in. 1 2 cover plates W 16 3 77 A-PDF Split DEMO : Purchase from www.A-PDF.com to remove the watermark...
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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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