Note that x is measured from the top and is equal to (L - z).

Figure 3.20. Outrigger, three-quarters up the height, z = 0.75L.

Differentiating Eq. (3.7) with respect to x, the general expression for slope of the cantilever is given by dy W 3 3

dx 6EI

The slope at the spring location is given by substituting z = 3L/4, i.e., x=L/4 in Eq. (3.8). Thus

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