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nent matrix equations for this problem in the form: [K]{U} = {F} conditions, and solve for (i) the unknown nodal displacements, (ii) the un-

nent matrix equations for this problem in the form: [K]{U} = {F} conditions, and solve for (i) the unknown nodal displacements, (ii) the un-

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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A 10-element, 6-node planar truss is shown below. Let A = 0.02 m? and E = 200 GPa for all elements. Note the spring with spring constant k, at node 6. In this quiz, you will essentially duplicate the truss-analysis steps that we have discussed in class during this past week. Note: L=3 m, A=0.02 m², E=200 GPa 150 kN 2 3 3 10 250 5 ks = 600 × 106 N/m kN Your task list is as follows: 1. Draw a neat figure, and show all the nodal primary and secondary variables (i.e., the U's and the F's at each node). 2. Derive the finite element matrix equations for this problem in the form: [K]{U} = {F} where K = B"DB. 3. Apply the boundary conditions, and solve for (i) the unknown nodal displacements, (ii) the un- known reaction force components at each of the supports., and (iii) the unknown forces in each of the elements (i.e., bars).
Transcribed Image Text:A 10-element, 6-node planar truss is shown below. Let A = 0.02 m? and E = 200 GPa for all elements. Note the spring with spring constant k, at node 6. In this quiz, you will essentially duplicate the truss-analysis steps that we have discussed in class during this past week. Note: L=3 m, A=0.02 m², E=200 GPa 150 kN 2 3 3 10 250 5 ks = 600 × 106 N/m kN Your task list is as follows: 1. Draw a neat figure, and show all the nodal primary and secondary variables (i.e., the U's and the F's at each node). 2. Derive the finite element matrix equations for this problem in the form: [K]{U} = {F} where K = B"DB. 3. Apply the boundary conditions, and solve for (i) the unknown nodal displacements, (ii) the un- known reaction force components at each of the supports., and (iii) the unknown forces in each of the elements (i.e., bars).
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