The cantilever beam in Figure P14.2 is supported on a spring at joint \(B\). The spring stiffness is 10 kips/in. Given: \(E=30,000\) kips/in. \({ }^{2}\)

(a) Compute the stiffness coefficient associated with a 1-in. vertical displacement at joint \(B\).

(b) Compute the vertical deflection of the spring produced by a vertical load of 15 kips.

(c) Determine all support reactions produced by the 15-kip load.

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A 6' P 1 = 240 in. 6' = 10 kips/in.