Solution_10 - CIV-100F Section B/E Solutions Fall 2011...

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CIV-100F Solutions Section B/E Fall 2011 Assignment 10 Due on Monday, November 28 th 2011 Draw a FBD if necessary; Pay attention to significant figures; A ruler is always required. 1- Draw shear force and bending moment diagrams for the shown beam. Solution : Draw the FBD as shown and solve the beam for reactions: kN A X 25 0 60 cos 50 = = = = + + = kN A A M Y Y D 1 . 43 0 ) 1 )( 60 sin 50 ( ) 5 . 2 )( 45 ( ) 5 . 3 )( 4 )( 12 ( ) 5 . 5 )( ( 0 kN D D F Y Y Y 1 . 93 0 60 sin 50 ) 4 )( 12 ( 45 127 . 43 0 = = + = Cut beam at B and solve the left part, we have: m kN M B = = 3 . 75 ) 5 . 1 )( 3 )( 12 ( ) 3 )( 127 . 43 ( kN V Left B 13 . 7 ) 3 )( 12 ( 127 . 43 , = = kN V right B 9 . 37 45 127 . 7 , = = Cut beam at C and solve the left part, we have: m kN M C = = 5 . 31 ) 1 )( 45 ( ) 2 )( 4 )( 12 ( ) 4 )( 127 . 43 ( kN V C 9 . 49 45 ) 4 )( 12 ( 127 . 43 = = Cut beam at D and solve the right part, we have: m kN M D = = 3 . 43 ) 1 )( 60 sin 50 ( kN V right D 3 . 43 60 sin 50 , = = kN V left D 9 . 49 174 . 93 60 sin 50 , = = (see next page for SFD and BMD) Ay Ax Dy B C E
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CIV-100F Solutions Section B/E Fall 2011 Assignment 10 Due on Monday, November 28 th 2011 Draw a FBD if necessary; Pay attention to significant figures; A ruler is always required. Shear force diagram: Bending moment diagram: 2- Draw shear force and bending moment diagrams for the shown beam.
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Solution_10 - CIV-100F Section B/E Solutions Fall 2011...

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