Question

2D Truss Element Exercise E-70 GPa A = 200 mm -500 mm for both members 300 mm 12 kN 400 mm a. For element #1 of the model shown below, calculate

the value of the direction cosine, L. b. For element #1 of the model shown below, calculate the value of the direction cosine, m. c. Using the values of and m, calculate and upload the stiffness matrix of element #1. d. For element #2 of the model shown below, calculate the value of the direction cosine, L. e. For element #2 of the model shown below, calculate the value of the direction cosine, m. f. Using the values of & and m, calculate and upload the stiffness matrix of element #2. g. Using the stiffness matrix of the individual elements, assemble the global stiffness matrix for the structure. h. Determine the global force vector for the structure shown above. 1. Using the elimination method, determine the reduced stiffness matrix (should be 2x2) and the reduced force vector (should 2x1). j. Solve the reduced system of equations to determine the horizontal displacement of node 1. k. Solve the reduced system of equations to determine the vertical displacement of node 1. 1. Let's use the penalty method for BCs. Calculate the value of the constant C for the method (max(abs[K])*10^4) m. Apply the value of C at the corresponding locations of the global stiffness matrix and use the global force vector to find the horizontal displacements of node #1 n. Apply the value of C at the corresponding locations of the global stiffness matrix and use the global force vector to find the vertical displacements of node #1

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