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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SECTION 6.5 Bending of Unsymmetric Beams 531 Problem 6.5-3 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 s t and maximum compressive stress s c 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.) Probs. 6.5-3 and 6.5-4 2 2 C 1 1 M Solution 6.5-3 Angle section with equal legs M 20 k-in. L 6 6 3/4 in. h b 6 in. c 1.78 in. I 1 I 2 28.2 in. 4 u 45° A 8.44 in. 2 r min 1.17 in. I y Ar 2 min 11.55 in. 4 I z I 1 I 2 I y 44.85 in. 4 N EUTRAL AXIS nn (E Q . 6-40) M AXIMUM TENSILE STRESS ( POINT A ) (E Q . 6-38) M AXIMUM COMPRESSIVE STRESS ( POINT B ) (E Q . 6-38) 3450 psi ; s c s B ( M sin u ) z B I y ( M cos u ) y
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