Prob 4. The simply supported steel beam (E = 29,000 ksi), has a rectangular cross section as shown, and supports the triangular load as shown below. (El is constant). If/when you use integration you must solve for constants & simplify Derive the bending moment equation M(x), for the first half of the beam. Show your work Derive the slope equation, 0(x). Show your work Derive the deflection equation, A(x). Show your work Sketch the general shape of the deflection line. (d) Determine the maximum deflection Amaæ of the beam Hint: The maximum deflection occurs when 0(x) = 0, which happens at the point where M (x) Mmax %3D Вeam's X-section 10 k/ft 10 in 12 ft 12 ft 4 in

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Beams

In structural engineering, a beam is a component made of a variety of materials (including steel alloys, and wood) that can resist loads applied laterally to the beam axis. Members, elements, rafters, shafts, and purlins are all terms used to describe beams.