678_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

678_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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Unformatted text preview: 08Ch08.qxd 9/18/08 672 11:04 AM Page 672 CHAPTER 8 Applications of Plane Stress Q ba s1 s2 h1 2 ba VQ I tw txy s1 h h + h1 b 4 + 2 A A 159.8 psi sx + sy 2 tmax A tmax Q h h ba b a b 2 4 sy Q 8.502 in3 2 2 2 b + txy a sy sx 2 2 t w2a 1b txy 1.2 h1 h1 ba b 2 4 103 psi s1 s1 s1 s2 1200 psi ; tmax 2 b + txy ƒ txy ƒ s2 ; 2 0 Pure shear: 2 b + txy sy 2 sx sy VQ I tw txy ; 3393 psi a 0 sx a 1777 psi s2 sx 736.289 psi txy sx + sy (C) NEUTRAL AXIS (POINT C) 5.219 in.3 Q ; txy tmax 1200 psi ; 1200 psi ; Problem *8.4-10 A cantilever beam of T-section is loaded by an inclined force of magnitude 6.5 kN (see figure). The line of action of the force is inclined at an angle of 60° to the horizontal and intersects the top of the beam at the end cross section. The beam is 2.5 m long and the cross section has the dimensions shown. Determine the principal stresses s1 and s2 and the maximum shear stress tmax at points A and B in the web of the beam near the support. 60° B 6.5 kN A y 2.5 m 80 80 mm mm 25 mm z C 160 mm 25 mm Solution 8.4-10 P A 6.5 kN 8 L 3 2.5 m A b 160 mm 2 10 mm Location of centroid C c2 © ( yi Ai) A c2 126.25 mm c2 2(160 mm)(25 mm) t 25 mm From Eq. (12-7b) in Chapter 12: (160 mm) (25 mm) a160 25 b mm + (160 mm) (25 mm) (80 mm) 2 A c1 185 mm c2 c1 58.75 mm MOMENT OF INTERTIA IZ 13 1 t c2 + b c3 3 31 1 (b 3 t) ( c1 t)3 IZ 2.585 107 mm4 ...
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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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