05-04ChapGere.0010

05-04ChapGere.0010 - shear force V that may act on the beam...

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Solution 5.10-9 Beam with an overhang SECTION 5.10 Shear Stresses in the Webs of Beams with Flanges 347 s allow 5 18 ksi t allow 5 11 ksi Select a beam of S shape R A 5 7400 lb R B 5 14,800 lb Maximum shear force: V max 5 10,000 lb at x 5 12 ft Maximum bending moment: M max 5 22,820 lb-ft at x 5 6.167 ft R EQUIRED SECTION MODULUS From Table E-2: Lightest beam is S 8 3 23 I 5 64.9 in. 4 S 5 16.2 in. 3 b 5 4.171 in. t 5 0.441 in. h 5 8.00 in. h 1 5 8.00 2 2(0.426) 5 7.148 in. M AXIMUM SHEAR STRESS (Eq. 5-48a) [ ok for shear Select S 8 3 23 beam 5 3340 psi 6 11,000 psi t max 5 V max 8 It ( bh 2 2 bh 2 1 1 th 1 2 ) S 5 M max s allow 5 (22,820 lb-ft)(12 in. / ft) 18,000 psi 5 15.2 in. 3 A B C P = 3000 lb q = 1200 lb/ft 12 ft 4 ft 8 ft R A R B x Problem 5.10-10 A hollow steel box beam has the rectangular cross section shown in the figure. Determine the maximum allowable
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Unformatted text preview: shear force V that may act on the beam if the allowable shear stress is 36 MPa. Solution 5.10-10 Rectangular box beam 10 mm 200 mm 20 mm 20 mm 10 mm 450 mm t allow 5 36 MPa Find V allow t 5 2(10 mm) 5 20 mm I 5 1 12 (200) (450) 3 2 1 12 (180)(410) 3 5 484.9 3 10 6 mm 4 V allow 5 t allow It Q t 5 VQ It 5 1.280 3 10 6 mm 3 5 273 kN 5 (36 MPa) (484.9 3 10 6 mm 4 )(20 mm) 1.280 3 10 6 mm 3 V allow 5 t allow It Q Q 5 (200) ¢ 450 2 ≤ ¢ 450 4 ≤ 2 (180) ¢ 410 2 ≤ ¢ 410 4 ≤ 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 Tech.

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