Understanding Business
Understanding Business
12th Edition
ISBN: 9781259929434
Author: William Nickels
Publisher: McGraw-Hill Education
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4) A two-tier column shown below is made from a material with modulus of E = 25 GPa. The top column
has length L₁ = 2 m, and cross-sectional area A1. The bottom column has length L₂ = 1.5 m, and cross-
sectional area A2. The entire column is loaded by two forces, P₁ and P2 as shown. Under the action of these
loads, the maximum permissible shortening of the column is 1.0 mm.
a) If we require that A2 = 3A1, what is the minimum permissible area A₁?
b) If the areas A1 and A2 are such that the compressive stresses in both parts of the column are the same,
what is the minimum permissible area A₁?
P₁ = 400 kN
P₂ = 650 kN
L₁ = 2 m
L₂ = 1.5 m
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Transcribed Image Text:4) A two-tier column shown below is made from a material with modulus of E = 25 GPa. The top column has length L₁ = 2 m, and cross-sectional area A1. The bottom column has length L₂ = 1.5 m, and cross- sectional area A2. The entire column is loaded by two forces, P₁ and P2 as shown. Under the action of these loads, the maximum permissible shortening of the column is 1.0 mm. a) If we require that A2 = 3A1, what is the minimum permissible area A₁? b) If the areas A1 and A2 are such that the compressive stresses in both parts of the column are the same, what is the minimum permissible area A₁? P₁ = 400 kN P₂ = 650 kN L₁ = 2 m L₂ = 1.5 m
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