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Unformatted text preview: Chapter 9 Deflection of Beams •What is the elastic curve ? (describe the deformed beam shape using equations) •What are the slope and deflection at point B or C? Deformation of a Beam Under Transverse Loading • Bending under general transverse loadings. EI x M ) ( 1 = ρ • Cantilever beam subjected to concentrated load at the free end, EI Px − = ρ 1 • Curvature varies linearly with x • At the free end A , 1 ρ A = 0, ρ A = ∞ • At the support B , PL EI B B = ≠ ρ ρ , 1 1/ =curvature at location x Deformation of a Beam Under Transverse Loading • Bending under general transverse loadings. EI x M ) ( 1 = ρ • Cantilever beam subjected to concentrated load at the free end, EI Px − = ρ 1 • Curvature varies linearly with x • At the free end A , 1 ρ A = 0, ρ A = ∞ • At the support B , PL EI B B = ≠ ρ ρ , 1 1/ =curvature at location x ρ Deformation of a Beam Under Transverse Loading • M=0 > Curvature is zero i.e., at each end and at E ....
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This note was uploaded on 12/14/2010 for the course ENGR 2530 taught by Professor Lindaschadlerfeist during the Fall '08 term at Rensselaer Polytechnic Institute.
 Fall '08
 LINDASCHADLERFEIST
 Deformation

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