4. Consider a unit cube of a solid occupying the region 0 ≤ x ≤ 1,0 ≤ y ≤ 1,0 ≤z ≤ 1, After loads are applied, the displacements are given by u, = ax, u, = By, u₂ = 0. a. Sketch the deformed shape for a = 0.03, B = -0.01 b. Calculate the six strain components. c. Find the volume change AV = V- Vo for this unit cube. d. For the above case show that exx + eyy + ezz = AV.
4. Consider a unit cube of a solid occupying the region 0 ≤ x ≤ 1,0 ≤ y ≤ 1,0 ≤z ≤ 1, After loads are applied, the displacements are given by u, = ax, u, = By, u₂ = 0. a. Sketch the deformed shape for a = 0.03, B = -0.01 b. Calculate the six strain components. c. Find the volume change AV = V- Vo for this unit cube. d. For the above case show that exx + eyy + ezz = AV.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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