Compute the axial strain, stress, and force in members

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Reference no: EM133250942

Case: Consider the truss structure shown below. ALL of the members have a Young's modulus of E=300 and have a cross-sectional area of 50.

1887_truss structure.jpg

Question 1: Assign numbers to the degrees of freedom in the structure and draw them on the figure. Use whatever order you want; justify it if you feel the need.

Question 2: Assemble the stiffness matrix and force vector for this problem. Confirm that the displacements of the truss are as below (Hint: confirmation doesn't require inverting).

[UAx uAy uBx uCx uCy uDx uDy] =

[0 0 0.01109 -0.03782 0.002844 -0.06836 0.01650 0]

Question 3: Compute the axial strain, stress, and force in members BC and CD using the finite element relationships. Compare those internal forces to the value obtained from the method of sections/joints from statics (i.e. find the forces also using one of those methods).

Reference no: EM133250942

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