ADS Homework 2 - 4 2 3 ) ( 2 3 2 3 2 2 3 2 K Pl EI Pl K Pl...

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Homework 2: The lateral displacement at point 2 and 3 in the ditributed parameter system is v(x = l/2) and v(x = l) respectively. EI Pl l x v EI Pl l x v 3 3 3 1 ) ( ; 48 5 ) 2 / ( = = = = Find K θ1 and K θ2 for the discreet parameter system. Solution: 2 1 2 / ; 2 1 θ K Pl K Pl = = 2 2 2 2 2 2 ; 2 2 1 2 2 1 1 2 1 1 2 1 1 l l v l l l l l v v l v + = + + = + + = = 2 1 2 1 1 4 2 2 2 / ; 2 2 2 2 2 1 K Pl K Pl v l K Pl l K Pl v l K Pl v + = + = = 1 2 48 5 ) 2 / ( 2 3 1 K Pl EI Pl v l x v = = = l EI K l EI K 80 . 4 5 24 1 1 = = 2 2 2 1 4 48 11 4 48 5
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Unformatted text preview: 4 2 3 ) ( 2 3 2 3 2 2 3 2 K Pl EI Pl K Pl EI Pl K Pl K Pl EI Pl v l x v = + = + = = = l EI K l EI K 09 . 1 11 12 2 2 = =...
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