05-02ChapGere.0002

05-02ChapGere.0002 - modulus S . Then select an 8-inch...

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Problem 5.6-3 A cantilever beam of length L 5 6 ft supports a uniform load of intensity q 5 200 lb/ft and a concentrated load P 5 2500 lb (see figure). Calculate the required section modulus S if s allow 5 15,000 psi. Then select a suitable wide-flange beam ( W shape) from Table E-1, Appendix E, and recalculate S taking into account the weight of the beam. Select a new beam size if necessary. Solution 5.6-3 Cantilever beam SECTION 5.6 Design of Beams 305 L = 6 ft q 5 200 lb/ft P 5 2500 lb P 5 2500 lb q 5 200 lb/ft L 5 6 ft s allow 5 15,000 psi R EQUIRED SECTION MODULUS 5 18,600 lb-ft 5 223,200 lb-in. S 5 M max s allow 5 223,200 lb-in. 15,000 psi 5 14.88 in. 3 M max 5 PL 1 qL 2 2 5 15,000 lb-ft 1 3,600 lb-ft T RIAL SECTION W 8 3 21 S 5 18.2 in. 3 q 0 5 21 lb/ft M max 5 223,200 1 4,536 5 227,700 lb-in. Required 15.2 in. 3 , 18.2 in. 3 [ Beam is satisfactory. Use W 8 3 21 S 5 M max s allow 5 227,700 lb-in. 15,000 psi 5 15.2 in. 3 M 0 5 q 0 L 2 2 5 378 lb-ft 5 4536 lb-in. Problem 5.6-4 A simple beam of length L 5 15 ft carries a uniform load of intensity q 5 400 lb/ft and a concentrated load P 5 4000 lb (see figure). Assuming s allow 5 16,000 psi, calculate the required section
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Unformatted text preview: modulus S . Then select an 8-inch wide-flange beam ( W shape) from Table E-1, Appendix E, and recalculate S taking into account the weight of the beam. Select a new 8-inch beam if necessary. Solution 5.6-4 Simple beam L = 15 ft q = 400 lb/ft P = 4000 lb 7.5 ft P 5 4000 lb q 5 400 lb/ft L 5 15 ft s allow 5 16,000 psi use an 8-inch W shape R EQUIRED SECTION MODULUS 5 26,250 lb-ft 5 315,000 lb-in. S 5 M max s allow 5 315,000 lb-in. 16,000 psi 5 19.69 in. 3 M max 5 PL 4 1 qL 2 8 5 15,000 lb-ft 1 11,250 lb-ft T RIAL SECTION W 8 3 28 S 5 24.3 in. 3 q 5 28 lb/ft M max 5 315,000 1 9,450 5 324,450 lb-in. Required 20.3 in. 3 , 24.3 in. 3 [ Beam is satisfactory. Use W 8 3 28 S 5 M max s allow 5 324,450 lb-in. 16,000 psi 5 20.3 in. 3 M 5 q L 2 8 5 787.5 lb-ft 5 9450 lb-in. A-PDF Split DEMO : Purchase from www.A-PDF.com to remove the watermark...
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