Repeat Problems 2.3-18, but assume that the bar is made of aluminum alloy. If P₂ =200 kN, what is P₁ so that displacement d_C = 0? What is displacement dB? Assume that L= 2 m, t = 20 mm, b₁ =100 mm, b₂ =115 mm, and E = 72 GPa.

Problems 2.3-18

A flat brass bar has length L, constant thickness t, and a rectangular cross-section whose width varies linearlybetween 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 L/2 b₁ B P₁ SB L/2 b₁ C P2 -Sc