For the beams shown in Figure P16 -11, determine the natural frequencies using first two and then

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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)

For the beams shown in Figure P16 -11, determine the

(b)

7.

(c)

(d)

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