CEE111 - Design Exercise 2

CEE111 - Design Exercise 2 - CEE 111 Design Exercise 2...

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CEE 111 Design Exercise 2 Winter 2012 January 30, 2012 Work independently!!! Consider the structural wide-flange (WF) beam shown in the figure below: 65,000 LB 135,000 LB 5 ft 5 ft 10 ft AB C D The wide-flange beam is to be designed to carry a total load of 200,000 lbs, distributed as shown above, at minimum cost. The maximum allowable bending stress, ballowable (in either compression or tension), in the beam is 50,000 psi. The maximum allowable shear stress, sallowable , in the beam is 45,000 psi. The formula for bending stress in a beam is b XX My I (1) where b is the bending stress, M is the external bending moment, y is the distance from the neutral axis, and XX I is the moment of inertia about the neutral axis. The formula for shear stress in a beam is s s F A (2) where s F is the shear force in the beam, and A is the cross-sectional area of the beam. For the wide-flange (WF) beam shown below, the maximum bending stress is given by max 2 b XX Md I (3)
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The specifications of the wide-flange (WF) beams that are available from the steel supplier are shown in Table 1 (and in the spreadsheet “WF_Beams.xlsx.”)
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CEE111 - Design Exercise 2 - CEE 111 Design Exercise 2...

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