676_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

676_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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Unformatted text preview: 08Ch08.qxd 9/18/08 670 11:04 AM Page 670 CHAPTER 8 Applications of Plane Stress s1 A 14,100 psi, s2 tmax a sy sx 2 ; 220 psi 2 2 b + txy 7160 psi 0 Q hh ba b a b 24 sy 2349 psi Pure shear: s1 s2 tmax 0 (b t) a (285.89 in.4)(0.5 in.) ; (c) NEUTRAL AXIS (POINT C) sx (12,000 lb)(27.984 in.3) VQ It txy h1 h1 ba b 2 4 2350 psi, 2350 psi, K 2350 psi ; 27.984 in.3 Problem 8.4-8 A W 200 41.7 wide-flange beam (see Table E-1(b). Appendix E) is simply supported with a span length of 2.5 m (see figure). The beam supports a concentrated load of 100 kN at 0.9 m from support B. At a cross section located 0.7 m from the left-hand support, determine the principal stresses s1 and s2 and the maximum shear stress tmax at each of the following locations: (a) the top of the beam, (b) the top of the web, and (c) the neutral axis. 100 kN W 200 × 41.7 A B D 0.7 m 0.9 m 2.5 m 0.9 m Solution 8.4-8 RB 100 kN a 0.7 + 0.9 b 2.5 RA 100 kN RB RA RB 64 kN (upward) 36 kN (upward) (a) TOP OF THE BEAM (POINT A) h Ma b 2 sx M RA(0.7 m) V RA V M sy 25.2 kN # m 36 kN sx I At the point D txy 0 0 Uniaxial stress: s1 W200 sy s2 sx tmax 41.7 106 mm4 I 40.8 b 166 mm tw 63.309 MPa 7.24 mm tf 205 mm h1 h h1 181.4 mm ; 0 tmax 2t f s2 63.3 MPa ; 31.7 MPa (b) TOP OF THE WEB (POINT B) 11.8 mm h s1 Ma sx h1 b 2 I sy 0 Q ba Q 1.892 sx h h1 2 ba h + h1 b 4 105 mm3 56.021 MPa ` ; sx ` 2 ...
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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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