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MT-1620 al.2002 where the constants A, B, C, d are determined by using the Boundary Conditions For the simply-supported case, boundary conditions are x=0W=0 M=EⅠ @x=e w=0 M=0 From: W(X=0)=0→B+C=0 M(X=0)=0→-EIB=0 C=0 El WX=0)=0→Asn,,l+Dl=0 El D=0 (x=O) 0→-EⅠAsin1=0 El El Paul A Lagace @2001 Unit 16-10MIT - 16.20 Fall, 2002 where the constants A, B, C, D are determined by using the Boundary Conditions For the simply-supported case, boundary conditions are: @ x = 0 w = 0 2 M = E I dw = 0 dx2 @ x = l w = 0 M = 0 From: w(x = 0) = 0 ⇒ B + C = 0 B = 0 ⇒ M(x = 0) = 0 ⇒ − EI P B = 0 C = 0 EI w(x = l) = 0 ⇒ Asin P EI l + Dl = 0 ⇒ D = 0 M(x = l) = 0 ⇒ − EI P Asin P EI l = 0 EI Paul A. Lagace © 2001 Unit 16 - 10
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