problem solution_ch4

problem solution_ch4 - Chapter 4, Problem 3 At room...

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Unformatted text preview: Chapter 4, Problem 3 At room temperature (20 C), a gap exits between the wall and the right end of the bars shown in Figure P4.3. Determine ( a ) The compressive axial force in the bars after temperature reaches 140 C. ( b ) The corresponding change in length of the aluminum bar. Chapter 4, Solution 3 Increase in length due to T (unrestrained): t o o T L mm = = + = ( ) ( )( )( ) ( )( )( ) . 12 10 120 250 23 10 120 300 1188 6 6 ( a ) Compressive axial force P P t mm = = = 1 1188 1 0188 . . (a) But P PL AE P P = = + ( . ) (10 )( ) ( . ) (10 )( ) 0 25 500 210 10 0 3 1000 70 10 6 9 6 9 9 N (b) Equating Eqs.(a) and (b): 188 10 2 381 10 4 286 10 3 9 . ( ) . ( ) . ( ) = + P P or P k = 28 2 . ( b ) Change in length of aluminum bar a t a P a a a T L P = = ( ) ( ) ( ) . ( ) 4 286 10 9 = = ( )( )( . ) . ( )( . ) . 23 10 120 0 3 4 28 10 28 2 10 0 707 6 9 3 o mm Chapter 4, Problem 11 A simply supported beam is loaded with a concentrated moment M o , as shown in Figure P4.11. Derive the equation of the elastic curve for the segment AC of the beam. Chapter 4, Solution 11 Segment AC : 1 2 1 1 2 ' , ' ' c EIv EIv L x M L x M + = = Segment CB : ) ( ' ' 2 x L EIv L M = 2 2 2 ) ( ' 2 c Lx EIv x L M + = Boundary Conditions: a M c c a v a v 1 2 2 1 : ) ( ' ) ( ' + = = Then EIv...
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This note was uploaded on 03/24/2010 for the course - - taught by Professor - during the Spring '10 term at Allen University.

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problem solution_ch4 - Chapter 4, Problem 3 At room...

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