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12.5 Method of Superposition:. Recall:. The DE satisfies two requirements for superposition: The load, w(x), is linearly related to deflection, n (x) The load does not change significantly the original geometry. How does superposition work??
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Recall: • The DE satisfies two requirements for superposition: • The load, w(x), is linearly related to deflection, n(x) • The load does not change significantly the original geometry • How does superposition work?? • Break beam up into series of known cases shown in App C. • Then ntot = n1 + n2 + n3 + ……..
No solution for this case Known case from App C Known case from App C
12.95 The simply supported beam carries a uniform load of 2 kip/ft. Code restrictions require the maximum deflection not to exceed 1/360 of the span length. Select the lightest-weight Z-36 steel wide-flange beam from Appendix B that will satisfy this requirement. Also, make sure stresses are acceptable if sallow = 24 ksi and tallow = 14 ksi. Assume ends simply supported