543_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

543_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 537 SECTION 6.5 Bending of Unsymmetric Beams Soultion 6.5.-9 Semicircle M(r sD sc FOR u c) Iy 5.244 M ; r3 Iz 45°: Eq. (6q40): tan b tan b Iy 9p2 9p2 64 b r radius c 4r 3p Iy 64) 4 (9p2 r 72p zA c st Iz st maximum tensile stress sc maximum compressive stress sA pr4 8 Mr Iz sA 2.546 90°: st yA 45° occurs at point A. r (M sin u)zA Iy M ; sB so 3.867 8M pr M ; r3 Mc Iy r3 ; ; r3 c r cos (90° r sin (90° ) ) 0.53868r 0.26918r From (Eq. 6-38): 8M sA M zE yE r3 M (M cos u)yA Iz MAXIMUM COMPRESSIVE STRESS for u 45° occurs at point E. where the tangent to the circle is parallel to the neutral axis nn. pr 3 2.546 FOR u 0.42441r 4.535 sc 3.577897 From (Eq. 6-38): 0.109757r4 0°: st (1) 15.6153° MAXIMUM TENSILE STRESS for u 0.42441r tan u 74.3847° b 90° FOR u 537 3 sC sE (M sin u)zE Iy 3.955 M r3 (M cos u)yE Iz ; ...
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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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