HW12sol

# HW12sol - CE 121 Advanced Structural Analysis Homework 12...

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CE 121 - Advanced Structural Analysis Homework 1 2 Filip C. Filippou The structural model in the figure has five independent free dofs under the assumption that elements a, b, c, and d are inextensible. The five independent free dofs are shown in the following figure. 1 2 3 4 5 The basic forces without the axial forces in the elements a, b, c and d are numbered in the following figure. 1 Q 3 Q 4 Q 5 Q 6 Q 2 Q 7 Q 8 Q The geometric and material properties of the problem are: L a 10 := L b 6 := L c 8 := L d 14 := L e 10 := EI 80000 := EA 20000 := Page 1

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CE 121 - Advanced Structural Analysis Homework 1 2 Filip C. Filippou We establish the stiffness matrix and initial force vector, as shown in the preceding problem. This will be very useful when evaluating later the basic forces. dof 1 3 a EI L 2 3 a EI L 2 3 a EI L 4 b EI L 2 b EI L 2 6 b EI L 2 6 b EI L K 11 3EI L a 4EI L b + := K 21 6EI L b 2 := K 31 L a 2 := K 41 2EI L b := K 51 0 := dof 2 0.8 e EA L 3 12 d EI L 2 6 d EI L 2 6 d EI L 3 12 d EI L 2 6 b EI L 2 6 b EI L 3 12 b EI L K 12 L b 2 := K 22 12 EI L b 3 12 EI L d 3 + 0.8 2 EA L e + := K 32 0.6 0.8 EA L e := K 42 L b 2 := K 52 L d 2 := Page 2
CE 121 - Advanced Structural Analysis Homework 1 2 Filip C. Filippou

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HW12sol - CE 121 Advanced Structural Analysis Homework 12...

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