SECTION 9.5Method of Superposition739Problem 9.5-15An overhanging beam ABCwith flexural rigidity EI15 k-in.2is supported by a guided support at Aand by a spring of stiffness kat point B(see figure). Span ABhas length L30 in. and carries a uniform load. The over-hang BChas length b15 in. For what stiffness kof the spring will the uniform load produce no deflection at the free end C?MAqLBbkACRBxySolution 9.5-15EI15kipin2.L30 in.b15 in.RBqLTable G-2, Case 1dCuBbdBq(2L)324EI(b)qLk#Thereforek3.33lb/in;for dC0k3EIbL2Problem 9.5-16A beam ABCDrests on simple supports at Band C(see figure). The beam has a slight initial curvature so that end Ais 18 mm above the elevation of the supports and end Dis 12 mm above. What moments M1and M2, acting at points Aand D, respectively, will move points Aand
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