HW_6 Solutions - First Draw FBD of whole structure(a Sum...

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First Draw FBD of whole structure. (a) Sum Moments about E lb E E F lb E E F lb D ft D ft lb ft lb M Y Y Y X X X Y Y E 350 0 300 650 500 0 500 650 0 ) 6 ( ) 3 ( 300 ) 6 ( 500 = = - - = = = + - = = = - + = Next move to member BC see FBD (c) X Y Y X X Y Y Y Y Y B B C C B F lb B B F lb C ft C ft lb M = = + - = = = + + - = = = + - = 0 150 0 150 300 150 0 ) 3 ( ) 5 . 1 ( 300 Need to Move to next Member to solve. FBD (b) lb B ft B ft lb ft lb M X X A 575 0 ) 3 ( ) 5 . 1 ( 150 ) 3 ( 650 = = + + - = Find Magnitude of resultant force lb B B F F Y X C B 24 . 594 150 575 2 2 2 2 = + = + = = Use shear stress formula Remember since double shear use either twice area Or half the force ksi psi in lb A V C B C B 05 . 6 6053 25 . 0 4 2 24 . 594 2 2 = = = = = = t t p t t
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