For the tapered beam shown in Figure P5-45, determine the maximum deflection using one, two, four, and eight elements. Calculate the moment of inertia at the midlength station for each element. Let E = 30 × 106 psi, I0 100 in I = 4, and L = 100 in. Run cases where n = 1, 3, and 7. Use a beam element. The analytical solution for deflection and slope at the free end for n = 7 is given by Reference [7] as shown below:

where n = arbitrary numerical factor and I0 = moment of inertia of section at x = 0.

Transcribed Image Text:

1 PL? 17.5 Elo PL? -(1/7 In 8 + 2.5) = νι %3! 49Elo 1 PL? 9.95 Elo PL? -(In 8 – 7) = 49EI,