1. 12.5 Method of Superposition:
Figure: UN

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
Figure: 12-29a-cEx12.13

4. Figure: 12-30a-dEx12.14

5. Figure: 12-31Ex12.15

12. 1. 2. 3. How would you use superposition for these cases?
Figure: P12.89 3.

13. Assume ends simply supported
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.
Figure: P12.95
Assume ends simply supported