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Determine the equation of the elastic curve for the beam using the x coordinate. Specify maximum deflection. EI is constant.

**Solution**

Free body diagram:

Elastic curve:

Also u=0 at x=0.

Slope: Substitute the value of C1 into (1)

Elastic Curve: Substitute the value of C1 and C2 into (2)

Deflection max at x=L/2

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