673_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

673_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 667 SECTION 8.4 Maximum Stresses in Beams Solution 8.4-4 L 1.75 m d b 50 mm h Q bd a txy 200 mm VQ Ib 40 mm Maximum principal stress at point D: RB 0 MA PL + P L 3 PL + P 2 2 MD L 2 3 PL 2 MA VD PL I y h 2 I 3.333 y d P s1 4 10 mm sx + sy A a sx sx sx 2 2 a b + txy + 2 A2 + 2 2 35 MPa P (3150P ) N> m2 PL) y I sy 2.5 in., h 10 in., and d 2 2 b + txy ( 3.153 * 103 ) P s1 P 3.153 * 103 ; 11.10 kN 0 Problem 8.4-5 Solve the preceding problem if the stress and dimensions are as follows: s1 b sy 60 mm ( 105 mm3 1.6 (96P ) N> m2 With s1 My I sx 7 Q PRINCIPAL STRESSES STRESS AT POINT D b h3 12 d b 2 h 2 2450 psi, L 80 in., 2.5 in. Solution 8.4-5 L 80 in. b 2.5 in. h 10 in. d 2.5 in. Q bd a txy VQ Ib Maximum principal stress at point D: RB 0 MA PL + P 3 L PL + P 2 2 MD L 2 MA PL 3 PL 2 VD P I b h3 12 y h 2 sy d My I sx 0 208.333 in.4 I y 2.5 in. ( PL) y I lb in.2 (0.045P) lb/in.2 sx + sy A P a sx sx 2 sx 2 + a b + txy 2 A2 + 2 With s1 (0.96P) 23.438 in.3 Q PRINCIPAL STRESSES s1 STRESS AT POINT D d b 2 h 2 2450 psi 2.55 k ; 2 P sy 2 2 b + txy (0.962P) s1 0.962 1b in.2 667 ...
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