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THE GEORGE WASHINGTON BRIDGE ( 1931 – New York ) Cables can only support tensile forces. A uniform distributed dead load gives a parabolic shape for the main cable
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THE VALTSCHIELBACH BRIDGE ( 1925 – Switzerland ) A uniform dead loads gives only compression in the parabolic arch.
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THE SALGINATOBEL BRIDGE ( 1930 – Switzerland ) Why has the arch a non uniform thickness ? Answer : the design of the arch is well adapted to support live loads.
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Live loads are represented by point forces. The largest stresses are obtained with two point forces applied at the quarter points Equilibrium of the left part of the arch symmetry V 2 = 0 equilibrium equation :
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Bending moment due to horizontal forcesBending moment due to vertical forces Total bending moment
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