MT-16.20 al.2002 and can see that APsin El This occurs if P=0(not interesting A=0(trivial solution, W=O) sIn El =n兀 E Thus the critical load is n El associated with each is a shape(mode nX W= Asin Paul A Lagace @2001 Unit 16MIT - 16.20 Fall, 2002 and can see that: AP sin P EI l = 0 This occurs if: • P = 0 (not interesting) • A = 0 (trivial solution, w = 0) • sin P EI l = 0 ⇒ P EI l = n π Thus, the critical load is: 2 2 n π E I P = l2 associated with each is a shape (mode) n x π w = Asin l Paul A. Lagace © 2001 Unit 16 - 11