Rework Problem 16.11 using a computer program with E = 3 × 107 psi, ( = 0.00073 lb-s2 /in4, A = 1 in2, L = 100 in., and I = 0.0833 in4.
Figure P16-13

Refer to Problem 16.11,
For the beams shown in Figure P16 -11, determine the natural frequencies using first two and then three elements. Let E, (, I, and A be constant for the beams.
Figure P16-11
(a)

(b)

(c)

(d)

E = 200 GPa, v = 0.3 I = 4 x 10-4m A = 2 x 10-2 m2 p= 7800 kg/m F(1) 4 m F(1), kN 100 0.3