537_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

537_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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Unformatted text preview: 06Ch06.qxd 9/24/08 5:54 AM Page 531 531 SECTION 6.5 Bending of Unsymmetric Beams Problem 6.5-3 An angle section with equal legs is subjected to a 2 bending moment M having its vector directed along the 1-1 axis, as shown in the figure. Determine the orientation of the neutral axis and calculate the maximum tensile stress st and maximum compressive stress sc if the angle is an L 6 6 3/4 section and M 20 k-in. (Note: See Table E-4a of Appendix E for the dimensions and properties of the angle section.) M 1 C Probs. 6.5-3 and 6.5-4 Solution 6.5-3 1 2 Angle section with equal legs NEUTRAL AXIS nn (EQ. 6-40) Iz tan b Iy zA c 12 st tan u sA b 44.85 tan 45° 11.55 75.56° 3.8831 ; MAXIMUM TENSILE STRESS (POINT A) (EQ. 6-38) M 20 k-in. L6 6 in. h b I1 I2 u 45° A Iy Ar2min 11.55 in.4 Iz I1 Iy h/ 12 sc sB zB 44.85 in.4 c 12 h/ 12 0 (M cos u)yA Iz ; 3080 psi MAXIMUM COMPRESSIVE STRESS (POINT B) (EQ. 6-38) 1.78 in. 8.44 in.2 yA (M sin u)zA Iy yB 3/4 in. 28.2 in.4 I2 c 6 2.517 in. rmin 1.17 in. 1.725 in. 4.243 in. (M sin u)zB Iy 3450 psi (M cos u)yB Iz ; Problem 6.5-4 An angle section with equal legs is subjected to a bending moment M having its vector directed along the 1–1 axis, as shown in the figure. Determine the orientation of the neutral axis and calculate the maximum tensile stress st and maximum compressive stress sc if the section is an L 152 152 12.7 section and M 2.5 kN # m. (Note: See Table E-4b of Appendix E for the dimensions and properties of the angle section.) ...
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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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