(a) A simple beam AB with length L and height h supports a uniform load of intensity...
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(b) Now assume that the ends of the beam are pinned so that curvature shortening is prevented and a horizontal force H develops at the supports (see the second part of the figure). Obtain a formula for the corresponding axial tensile stress Ït.
(c) Using the formulas in parts (a) and (b), calculate the curvature shortening λ l, the maximum bending stress Ïb, and the tensile stress Ït for the following steel beam: length L = 3 m, height h = 300 mm, modulus of elasticity E = 200 GPa, and moment of inertiaI = 36x106 mm4. Also, the load on the beam has intensity q = 25 kN/m.
Compare the tensile stress Ït produced by the axial forces with the maximum bending stress Ïb produced by the uniform load.
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