Because of poor foundation conditions, a 30-in. deep steel beam with a cantilever is used to support an exterior building column that carries a dead load of 600 kips and a live load of 150 kips (Figure P7.45). What is the magnitude of the initial camber that should be induced at point C, the tip of the cantilever, to eliminate the deflection produced by the total load? Neglect the beam’s weight. Given: I = 46,656 in.4 and E = 30,000 ksi. See case (e) in Appendix Table A.3 for the deflection equation. The clip angle connection at A may be treated as a pin and the cap plate support at B as a roller.
Figure P7.45:
Table A.3: Moment Diagrams and Maximum Deflections
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