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12.5 Method of Superposition:

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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12.5 Method of Superposition:

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  1. 12.5 Method of Superposition:

  2. 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 + ……..

  3. No solution for this case Known case from App C Known case from App C

  4. How would you use superposition for these cases? 1. 2. 3.

  5. 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

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