HW_FE_Springs

HW_FE_Springs - e. Solve the equations in step (d) for the...

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Homework 4 - Spring Elements 1. Solve Problems 2.1, 2.3, 2.5, and 2.12 from the text book 2. Set up and solve the below problem. a. Set up the 4x4 stiffness matrix. Label all rows and columns b. Set up the 4x1 load vector. Label all rows. Also, sketch and use an overall free body diagram (FBD) when setting up the load vector. c. Write the matrix equation of equilibrium 4 equations d. Based on the boundary conditions shown, reduce these 4 equations to two equations. Label all rows and columns.
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Unformatted text preview: e. Solve the equations in step (d) for the deflections at nodes 2 and 3. f. Use the equilibrium equations at nodes 1 and 4 of step (c) to find the reactions at nodes 1 and 4. g. From the FBD of step (b) write the overall equation of equilibrium. Verify the reactions of step (f) satisfy that equation. n1 n2 n3 n4 k= 5 lb/in k= 1 lb/in k= 3 lb/in k= 2 lb/in k= 4 lb/in External forces applied: At node 2: 4 lbs to the right At node 3: 6 lbs to the right...
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