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(Solved):   Problem 3: 2D plane stress (20 points) A triangular plane stress element is given in Figur ...



Problem 3: 2D plane stress (20 points)
A triangular plane stress element is given in Figure 2 in which the coordinates are in

 

Problem 3: 2D plane stress (20 points) A triangular plane stress element is given in Figure 2 in which the coordinates are in inches. Let E-20e6 psi, poisson's ratio v=0.15, and thickness t =1 in. If the nodal displacements are u? = 0.002 in, v? = 0, u? = 0, v? = 0.0024 in, u3 = 0, V3=0.0024 in. (1) Calculate the stiffness matrix K; (10 marks) (2) Calculate the stresses, Ox, Oy, Txy. (10 marks) 4 y 3 (1, 1) 2 (1,0) Figure 2 (2,0)


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Consider the Plane stress element as shown below: From the above figure, the co-ordinate values of the triangle are: Calculate the value of shape function and . Substitute
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