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1- Consider the unit cube shown in the Figure, which undergoes the deformation: x₁ = α (X₁ X₂), x₂ =BX2₁, X3 = Y X3 where a, ß, and y are constants. Determine: (a) the deformed length of diagonal OA, a В (b) the condition that constants a, ß, and y must satisfy if the material is incompressible. 1.5 2.0 -X₂ Y 1.0

1- Consider the unit cube shown in the Figure, which undergoes the deformation: x₁ = α (X₁ X₂), x₂ =BX2₁, X3 = Y X3 where a, ß, and y are constants. Determine: (a) the deformed length of diagonal OA, a В (b) the condition that constants a, ß, and y must satisfy if the material is incompressible. 1.5 2.0 -X₂ Y 1.0

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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1- Consider the unit cube shown in the Figure, which undergoes the deformation: 1 x₁ = α (X₁- X₂), x₂ =BX2,, x3 = 7X3 2 where a, ß, and y are constants. Determine: (a) the deformed length of diagonal OA, α В (b) the condition that constants a, ß, and y must satisfy if the material is incompressible. 1.5 2.0 B X₁ Y 1.0
Transcribed Image Text:1- Consider the unit cube shown in the Figure, which undergoes the deformation: 1 x₁ = α (X₁- X₂), x₂ =BX2,, x3 = 7X3 2 where a, ß, and y are constants. Determine: (a) the deformed length of diagonal OA, α В (b) the condition that constants a, ß, and y must satisfy if the material is incompressible. 1.5 2.0 B X₁ Y 1.0
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