. Consider the cantilevered beam with an intermediate spring of stiffness constant k, subjected to a uniform transverse

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Consider The Cantilevered Beam With An Intermediate Spring Of Stiffness Constant K Subjected To A Uniform Transverse 1 (46.45 KiB) Viewed 8 times

. Consider the cantilevered beam with an intermediate spring of stiffness constant k, subjected to a uniform transverse load po, as depicted in fig. 3. Let a = a/L, P. and k = kl/Hz. (1) Use the principle of super- position to find the solution for this problem. (2) Describe the solutions that you will be superposing k clearly. (3) What condition will you use to find the force in the spring? (4) Find the force in the spring. L (5) Find the transverse deflection of the beam. Hint: the transverse displacement of a can- Figure 3: Cantilevered beam with intermedi- tilevered beam under uniform loading is ate spring a www pol 12(7) 24HS (6n2 - 479 + n), (1) where n = x/L is the non-dimensional variable along the span of the beam. The transverse displacement of a cantilevered beam subjected to a concentrated load P applied at distance à from the root is PL 13a - n), Osnsa, U2(n) (2) 6H5a(3n-ā), ā<n51.