Repeat Problems 2.3-18, but assume that the bar is made of copper alloy. Calculate the displacements S_B and S_C if P = 50 kips, L = 5 ft, t = 3 / 8 in., b₁ = 2.75 in., b₂ = 3 in., and E = 16,000 ksi.

Problems 2.3-18

A flat brass bar has length L, constant thickness t, and a rectangular cross-section whose width varies linearly between b₂ at the fixed support to b₁ at the free end (see figure). Assume that the taper of the bar is small. The bar has a modulus of elasticity E. Calculate the displacements d_B and d_C if P =200 kN, L = 2 m, t = 20 mm, b₁ =100 mm, b₂ =115 mm, and E = 96 GPa.

Transcribed Image Text:

b2 A X 12 b1 BP - SB L2 C b₂ 2P Sc