Learning Goal: To use the method of superposition to calculate a beam deflection and slope. Use the two loadings below and the principle of superposition to answer the following questions. For beams with small deflections, the assumptions for using the method of superposition apply: the deflections and slopes are linearly related to the load, and the deflections do not significantly change the original geometry of the beam. The deflections and slopes for beams subjected to multiple loads can then be found using linear combinations of known results for individual loads. Load -(--4) -5w) L -5wzLª 384EI 768EI -3wzL 24EI 128EI wi L 7wz L 384EI 24EI Part A - Determine the load combination A beam subjected to the loading shown (Figure 1) where w. = 2 kN/m and uz = 2.5 kN/m. Describe the loading as a linear combination of the loads in the above table. Express your answers in kN/m. > View Available Hint(s) ? Figure < 1 of 1 > w1, w2 = kN/m Submit Part B Complete previous part(s)

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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.