HW_9 Solutions - FBD First Find Centroid y= y = 2.75in yA =...

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FBD First Find Centroid 4 2 3 12 1 2 3 12 1 33 . 124 ) 75 . 2 5 )( 1 ( 8 ) 8 )( 1 ( ) 5 . 0 75 . 2 )( 1 ( 8 ) 1 )( 8 ( 75 . 2 ) 1 )( 8 ( ) 1 )( 8 ( ) 1 )( 8 ( 5 ) 1 )( 8 ( 5 . 0 in I in in in in in in in in in in in in I in y in in in in in in in in in in A yA y = - + + - + = = + + = = Check Compression first kip lbs P psi in in ft in P I c M MAX n Compressio 1 . 12 056 , 12 000 , 16 33 . 124 ) 75 . 2 )( / 12 ( 5 4 = = = = = s Check Tension kip lb P psi in in in ft in P I c M MAX Tension 97 . 5 5968 000 , 18 33 . 124 ) 75 . 2 9 )( / 12 ( 5 4 = = = - = = s Tension was critical Value
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FBD to the right find reaction forces ) 3 ( 2 1 ) 3 )( / ( 12 ) 3 ( m m m kN m R M A B + - = ) 5 . 1 ( 3 1 ) 5 . 1 )( / ( 12 2 1 m m m kN - kN R m m kN m m kN R R F kN R B B A A 5 . 28 ) 5 . 1 )( / ( 12 2 1 ) 3 )( / ( 12 5 . 16 = - - + = = Two points where max bending moment could be At B or where the shear is zero kNm M m m m kN m kN M m m kN kN m kN R x x m kN R V kNm M m m m kN M A A B B 34 . 11 ) 2
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This homework help was uploaded on 04/01/2008 for the course ME 211 taught by Professor Thouless during the Spring '08 term at University of Michigan.

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HW_9 Solutions - FBD First Find Centroid y= y = 2.75in yA =...

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