Question: A wire is loaded with equal weights W at nine uniformly spaced points, as illustrated in Figure 5.13. The wire is sufficiently taut that the

A wire is loaded with equal weights W at nine uniformly spaced points, as illustrated in Figure 5.13. The wire is sufficiently taut that the tension T may be considered to be constant. The end points are at the same level, so that u₀ = u₁₀ = 0 and the system is symmetrical about its midpoint. The equations to determine the displacements u_i are

W = (T/d)(2u, W = (T/d)(-u W = (T/d)( W = (T/d)( W = (T/d)( 1 + 2u Uz ) ) ) -U3+ 2U - Us) - 2u4 + 2us) -

Taking Wd/T = l, calculate u_i/l for i = 1, . . . . , 5.

Figure 5.13

0 1 2 3 4 5 U d T W 6 7 8 9 10

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