A uniform bar is clamped at = x 0 and is initially at rest If longitudinal displacement
Chapter 15, Problem 7(choose chapter or problem)
A uniform bar is clamped at = x 0 and is initially at rest If longitudinal displacement a constant force F0 is applied to the free end at = x L, the u(x, t) of a cross section of the bar is determined from ;lu ;lu a 2 -2 = -2, 0 < x < L, > t0 ax at u(O, t) = 0, E au I = Fa. Ea constant, > t 0 ax :t=L u(x, 0) = 0, au I = 0, 0 < x < L. Solve for u(x, t). [Hint: Expand 1/(1 + e-2.rUa) in a geometricseries.]
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