AAE352_Summer_Lec16

AAE352_Summer_Lec16 - Review - beam bending and transverse...

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Review - beam bending and transverse shear Reading – Dr. Weisshaar 89-95 AAE 352 Summer 2010 Andrew J. Ritchey aritchey@purdue.edu ARMS B144 765-494-5985 https://engineering.purdue.edu/AAE/Academics/Courses/aae352/2010/summer July 7, 2010 16-1
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External loading is “transverse” to beam axis Free Body Diagrams show that material in cross-sections resists (carries) bending moments and shear force resultants AAE 352 Summer 2010 100 lb. 20” 20” July 7, 2010 16-2
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When a shear resultant is present the bending moment changes When there is a distributed load, the shear force changes AAE 352 Summer 2010 100 lb. 20” 20” 50 lb. 50 lb. 1000 in-lb. () dV px dx dM Vx dx  M M+ D M V V dx July 7, 2010 16-3
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Plane sections remain plane Cross-section is symmetrical Coordinates are centroidal Sign conventions are unique AAE 352 Summer 2010 y y Mz I  M M+ D M V V a y y 2 zz I y dA z July 7, 2010 16-4 z
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22 z yy y zy y zz z zy zz yy zy zz yy zy x M I M I M I M I yz I I I I I I  
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AAE352_Summer_Lec16 - Review - beam bending and transverse...

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