Solution_11 - CIV-100F Section B/E Assignments Fall 2011...

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CIV-100F Assignments Section B/E Fall 2011 Assignment 11 Due on Monday, December 5 th 2011 Draw a FBD if necessary; Pay attention to significant figures; A ruler is always required. 1- A simply supported steel beam with the cross section shown experiences a maximum moment of 155 kNm. The dashed line passing A and B is the centroidal axis x of the beam section. Ix=156.9(10 6 ) mm 4 . a) Determine the maximum bending stresses over the height of the beam. b) Sketch the side view of the stress distribution. c) Compute the force acting on the web section ABCD. Solution : a) The maximum bending stresses occur at the point that is farthest from the centroidal axis of the beam. In this case it will be at the lower flange of the I-beam. MPa I y M 7 . 185 ) 10 ( 9 . 156 ) 188 )( 10 )( 155 ( 6 6 max max = = = σ Note: it is strongly suggested you use units of N and mm in this equation. b) As shown in sketch AB CD 15 F1 O max C O 152 188 c) The force acting on ABCD is equal to the volume of the stress block acting on ABCD: max 188 ) 15 188 ( = c = 170.9 MPa F1 = (1/2)(170.9)(188-15)(10)= 147830N = 147.8 kN
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CIV-100F
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This note was uploaded on 12/10/2011 for the course CIV 100 taught by Professor Nahrvar during the Spring '08 term at University of Toronto.

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Solution_11 - CIV-100F Section B/E Assignments Fall 2011...

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