Rework Problem 16.11 using a computer program with E = 3 × 107 psi, r = 0:00073 lb-s2/in...

Rework Problem 16.11 using a computer program with E = 3 × 10⁷ psi, r = 0:00073 lb-s²/in⁴, A = 1 in², L = 100 in., and I = 0:0833 in⁴.

Problem 16.11

For the beams shown in Figure P16–11, determine the natural frequencies using first two and then three elements. Let E; ρ, and A be constant for the beams.