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Homework Statement
See attachement titled p8.jpg
Homework Equations
The following equations apply to a cantilevered beam held fixed on the left end:
[tex]\delta_{max} = -\frac{PL^3}{3EI}[/tex]
[tex]\theta = -\frac{PL^2}{2EI}[/tex]
[tex]\delta = \frac{P}{6EI}(x^3-3Lx^2)[/tex]
The following equations apply to a simply supported beam with a constant distrubuted load:
[tex]\delta_{max} = -\frac{5\omega L^4}{384EI}[/tex]
[tex]\theta = -\frac{\omega L^3}{24EI}[/tex]
[tex]\delta = -\frac{\omega}{24EI}(x^4-2Lx^3+L^3x)[/tex]
The Attempt at a Solution
I started my superposition solution as shown in attachment s8.jpg. I wanted find out if the deflection caused by the distributed load between points A and B is equivilent to the amount of deflection that would occur at point C in the first case. For the second case is the deflection caused by the load occur between points B and C or across the entire beam? I'm having a difficult time trying to find the best equation to discribe each case.
Attachments
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