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707_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

# 707_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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Unformatted text preview: 08Ch08.qxd 9/18/08 11:08 AM Page 701 701 SECTION 8.5 Combined Loadings Solution 8.5-21 W 750 1b Fy 200 1b 2.5 in. t A b2 2 t)2 (a) d 1 in.2 A 6 in. c (b 2 t)4] I (b t)2 0 My (POINT Q) s W A sx s 2 sx + sy A 2 tmax a A txy sx t 0 t sy A a sx a sx sy + s2 20730 psi & MAX SHEAR STRESS s sx + sy s1 s1 sy 0 1 1 b3 8 b 32 1 Fy Q 2 sy 2 2 in. 378 psi tT t tt Mz tT 6000 in.-1b t 4633 psi PRINCIPAL STRESSES s1 s2 2 tmax s1 sy 0 txy 2 sx + sy 2 sx 2 988 psi A b + t2 xy 2 2 ; tmax 10365 psi ; tmax 11354 psi ; Mx Wy1 SHEAR & NORMAL STRESSES AT A s W A My c I s 20730 psi same since element A lies on NA for bending about x-axis b + t2 xy sx ; 18000 in.-1b sy a 2 21719 psi My b + t2 xy sx s2 POINT Q ¿ & FORCE FY sy a ; ENGINE WEIGHT ACTS THROUGH t sy + A A s sx + sy a & MAX SHEAR STRESS 20730 psi ACTS IN Y-DIR tT 4255 psi 2 b + t2 xy MZ USING APPROX. 3-65) s2 (b) 1 in.3 Q tt I (2 t) Fy d 2 b + t2 xy ; 0 b1 sx b + t2 xy 2 2t Mz & NORMAL STRESSES AT A PRINCIPAL STRESSES b THEORY (EQU. SHEAR I b1 TRANSVERSE SHEAR SHEAR DUE TO TORSIONAL MOMENT Wx1 Myc MZ (MAX PROB. #5.10-11) TORSION DUE TO IN WEB-SEE tt 1 in.4 ENGINE WEIGHT ACTS THROUGH X-AXIS Mx 24 in. Q Am y1 6 in. 1 [ b4 12 x1 30 in. b . 2 2 Am I (b FY & 1 in. 8 b SHEAR STRESS DEPENDS ON TRANSVERSE SHEAR DUE TO 2 2 Mz 2 tAm ...
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