A flat bar of rectangular cross section, length L, and constant thickness t is subjected to tension by forces P (see figure). The width of the bar varies linearly from b1 at the smaller end to b2 at the larger end. Assume that the angle of taper is small.
(a) Derive the following formula for the elongation of the bar:

(b) Calculate the elongation, assuming L = 5 ft, t = 1.0 in., P = 25 k, b1 = 4.0 in., b2 = 6.0 in., and E = 30 × 106 psi.

Transcribed Image Text:

b2 In bi