282_Problem CHAPTER 9

282_Problem CHAPTER 9 - PROBLEM 9.186 CONTINUED ( y )1 = (...

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PROBLEM 9.186 CONTINUED ( ) ( ) ( ) 1 1 1 0.49965 yz x λ λλ == () () 1 2 2 1 2 0.49965 1 xx  + =  ( ) 1 0.81669 x = ( ) ( ) 1 1 0.40806 ( ) 1 35.2 ; x θ = ° ( ) ( ) 1 1 65.9 θθ ° W K 2 : Begin with Equations (9.54a) and (9.54b): () ( ) 22 2 () 0 x y y z x IK I I λλλ −−= ( ) ( )( ) ( ) 2 2 2 2 0 xy x y y yz z II K I −+ = Substituting: 33 3 2 14.32 10 18.62 10 4.297 10 ( ) ( ) 0 xy z −− ×− × × = (i) ( )( ) 3 2 2 4.297 10 18.62 10 18.62 10 0 −× + × × = (ii) From (ii) ( ) 2 0 x = From (i) ( ) ( ) 2 2 =− Substituting: () () () 2 2 2 2 2 2 1 z + +− = 2 1 2 y = ( ) ( ) ( ) 2 2 2 90.0 , 45.0 , 135.0 xyz θθθ = °= ° W K 3 : Begin with Equations (9.54b) and (9.54c) ( ) ( )( ) ( ) 3 3 3 0 xy x y y yz z K I + = ( ) ( ) ( )( ) 3 3 3 0 zx x yz y z z III K −−+ = Substituting: ( ) 3 3 3 4.297 10 18.62 10 22.9 10 0 xz + × × = ( )
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This note was uploaded on 07/11/2011 for the course EGM 2511 taught by Professor Jenkins during the Spring '08 term at University of Florida.

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