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For the 2-D linear triangular plane stress element below (figure 3), the nodes' displacements have been obtained as shown in the diagram. The coordinates of nodes i, j, and k are (0,0), (1,0), and (0,1) meters respectively. The Young's modulus is 200, and the Poisson's ratio is 0.3. Calculate the element strain and stress: V = 1.5 x 10-6mm k Uk = 3 x 10-"mm V, = 1 x 10-6mm V; = 2 x 10-6mm U, = 3 x 10-6mm U = 1 x 10-6mm j

For the 2-D linear triangular plane stress element below (figure 3), the nodes' displacements have been obtained as shown in the diagram. The coordinates of nodes i, j, and k are (0,0), (1,0), and (0,1) meters respectively. The Young's modulus is 200, and the Poisson's ratio is 0.3. Calculate the element strain and stress: V = 1.5 x 10-6mm k Uk = 3 x 10-"mm V, = 1 x 10-6mm V; = 2 x 10-6mm U, = 3 x 10-6mm U = 1 x 10-6mm j

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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For the 2-D linear triangular plane stress element below (figure 3), the nodes' displacements have been obtained as shown in the diagram. The coordinates of nodes i, j, and k are (0,0), (1,0), and (0,1) meters respectively. The Young's modulus is 200, and the Poisson's ratio is 0.3. Calculate the element strain and stress: V = 1.5 x 10-6mm k Uk = 3 x 10-"mm V, = 1x 10-6mm V = 2 x 10-6mm > U, = 3 x 10-6mm U = 1 x 10-6mm j Figure 3
Transcribed Image Text:For the 2-D linear triangular plane stress element below (figure 3), the nodes' displacements have been obtained as shown in the diagram. The coordinates of nodes i, j, and k are (0,0), (1,0), and (0,1) meters respectively. The Young's modulus is 200, and the Poisson's ratio is 0.3. Calculate the element strain and stress: V = 1.5 x 10-6mm k Uk = 3 x 10-"mm V, = 1x 10-6mm V = 2 x 10-6mm > U, = 3 x 10-6mm U = 1 x 10-6mm j Figure 3
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