QUESTION 2 For the element shown in Figure q2, the nodal displacements are given as: u₁ (1.5 mm), v₁ (1 mm), u2 (1 mm), v2 (0 mm), u3 (3 mm) and v3 (1.5 mm). The coordinates are given in units of millimeters. Assume plane stress conditions. Let E 210 GPa, v=0.25, and t = 8 mm. Determine the principal stresses and the principal angle. Note: No requirement for the stiffness matrix of the element. (40, 95) (25, 45) 2 (70, 45) FIGURE Q2 UNISA 2022

Structural Analysis
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ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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QUESTION 2
For the element shown in Figure q2, the nodal displacements are given as: u₁ (1.5 mm), v₁ (1
mm), u2 (1 mm), v2 (0 mm), u3 (3 mm) and v3 (1.5 mm). The coordinates are given in units of
millimeters. Assume plane stress conditions. Let E = 210 GPa, v = 0.25, and t = 8 mm.
Determine the principal stresses and the principal angle.
Note: No requirement for the stiffness matrix of the element.
(40,95)
(25,45)
2
(70, 45)
FIGURE Q2
UNISA 2022
Transcribed Image Text:QUESTION 2 For the element shown in Figure q2, the nodal displacements are given as: u₁ (1.5 mm), v₁ (1 mm), u2 (1 mm), v2 (0 mm), u3 (3 mm) and v3 (1.5 mm). The coordinates are given in units of millimeters. Assume plane stress conditions. Let E = 210 GPa, v = 0.25, and t = 8 mm. Determine the principal stresses and the principal angle. Note: No requirement for the stiffness matrix of the element. (40,95) (25,45) 2 (70, 45) FIGURE Q2 UNISA 2022
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