675_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

675_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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Unformatted text preview: 08Ch08.qxd 9/18/08 11:04 AM Page 669 SECTION 8.4 Maximum Stresses in Beams (60 kN)(420.5 * 103 mm3) VQ It txy (108.89 * 106 mm4)(10 mm) 23.17 MPa Pure shear: s1 s2 tmax 23.2 MPa, 23.2 MPa K 23.2 MPa 669 ; Problem 8.4-7 A beam of wide-flange cross section (see figure) has the following dimensions: b 5 in., t 0.5 in., 12 in., and h1 10.5 in. The beam is simply supported with span length L 10 ft and supports a uniform load q 6 k/ft. Calculate the principal stresses s1 and s2 and the maximum shear stress tmax at a cross section located 3 ft from the left-hand support at each of the following locations: (a) the bottom of the beam, (b) the bottom of the web, and (c) the neutral axis. h Solution 8.4-7 Simply supported beam q 6.0 k/ft c 3 ft V b L M 36 in. qL 2 qc 5.0 in. 3 bh 12 10 ft 120 in. qc2 2 qLc 2 756,000 lb-in. sx 12,000 lb t 0.5 in. t)h 3 1 (b (b) BOTTOM OF THE WEB (POINT B) h 12 in. h1 sy (a) BOTTOM OF THE BEAM (POINT A) txy sx 12 Mc I (756,000 lb-in.)( 6.0 in.) 0 txy s1,2 0 Uniaxial stress: s1 15,870 psi, d s2 0 tmax 7930 psi 285.89 in. 0Q ba h ba h + h1 b 4 21.094 in.3 (12,000 lb)(21.094 in.3) VQ It (285.89 in.4)(0.5 in.) sx + sy ; 2 h1 2 A a sy sx 2 6941.5 ; 7163.9 psi ; 5.25 in.) 4 1771 psi 285.89 in.4 15,866 psi sy (756,000 lb-in.)( 13,883 psi 10.5 in. 285.89 in.4 I My I 2 2 b + txy ...
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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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