12.5 Method of Superposition:

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12.5 Method of Superposition
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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 ..

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No solution for this case
Known case from App C
Known case from App C
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How would you use superposition for these cases?
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2.
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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