1- Consider the unit cube shown in the Figure, which undergoes the deformation: 1 x₁ = α (X₁- X₂), X₂ =BX₂,, x3 = y X3 2 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 0.8 1.0 1.5 1.0 1.0 0.8 -X₂ 2.0 1.0 D 0.6 1.5 Y 1.0 0.9 0.5 1.2 0.5 1.0

1- Consider the unit cube shown in the Figure, which undergoes the deformation: 1 x₁ = α (X₁- X₂), X₂ =BX₂,, x3 = y X3 2 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 0.8 1.0 1.5 1.0 1.0 0.8 -X₂ 2.0 1.0 D 0.6 1.5 Y 1.0 0.9 0.5 1.2 0.5 1.0

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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