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Department of Civil Engineering
CIVL 7117 - Homework Assignments
set cell vertical height
 

 

             
Assignment Description Date Assigned
1 Do problems 2.4, 2.10, and 2.22 on pages 66 - 71 in your textbook “A First Course in the Finite Element Method” by D. Logan.

August 27

2 Verify the global stiffness matrix for a three-dimensional bar. Hint: First, expand T* to a 6 x 6 square matrix, then expand 6 x 6 square matrix by adding the appropriate rows and columns of zeros, and finally, perform the matrix triple product k = TT

September 8

3 Do problems 3.4, 3.10, 3.12, 3.15a,b, 3.18, 3.23, 3.37, 3.43, 3.48, 3.50, and 3.55 on pages 146-165 in your textbook “A First Course in the Finite Element Method” by D. Logan.

September 8

4 Use SAP2000 and solve problems 3.63 and 3.67.

September 15

5 Do problem B.9 on pages 866 in your textbook “A First Course in the Finite Element Method” by D. Logan.

September 15

6 Solve the following truss problems: a 15-bar truss; a 25-bar truss; and a 72-bar truss.  You may use SAP2000 to do truss analysis.

September 15

7 Verify the four beam element equations are contained in the following matrix expression.

September 24

8 Do problems 4.7, 4.11, 4.18, 4.22, 4.40 and 4.47 on pages 225-234 in your textbook “A First Course in the Finite Element Method” by D. Logan

September 24

9 Work problem 4.22 (on page 229 in your textbook “A First Course in the Finite Element Method” by D. Logan) using the SAP2000 analysis system (you may used any available structural analysis software system). Start with one element and increase the number of beam elements until you get good agreement with the exact solution. Plot you results for each discretization to the exact solution. How many elements are enough to accurately model this problem?

September 24

10 Work problem 4.34 (on page 231 in your textbook “A First Course in the Finite Element Method” by D. Logan) using the SAP2000. Attempt to select the lightest standard W section to support the loads for the beam. The bending stress must not exceed 160 MPa.

September 24

11 Do problems 5.1, 5.8, 5.13, 5.28, and 5.51 on pages 299 - 327 in your textbook “A First Course in the Finite Element Method” by D. Logan.

October 1

12 Do problems 5.20, 5.23, 5.25, 5.35, and 5.53 on pages 299 - 327 in your textbook “A First Course in the Finite Element Method” by D. Logan. You may use the SAP2000 to do frame analysis.

October 1

13 Do problems 6.6a, 6.6c, 6.7, 6.9a-c, 6.11, and 6.13 on pages 377 - 383 in your textbook “A First Course in the Finite Element Method” by D. Logan.

October 15

14 Rework the plane stress problem given on page 356 in your textbook “A First Course in the Finite Element Method” by D. Logan using Brower's MATLAB code to do analysis. Start with the simple two element model. Continuously refine your discretization by a factor of two each time until your FEM solution is in agreement with the exact solution for both displacements and stress. How many elements did you need?

October 15

15 Do problems 7.2, 7.3, and 7.4 on pages 420 - 436 in your textbook “A First Course in the Finite Element Method” by D. Logan. October 22
16 Work problems 7.13, 7.16, and 7.22 on pages 420 - 436 in your textbook “A First Course in the Finite Element Method” by D. Logan using Brower's MATLAB code. October 22
17 Do problems 8.3, 8.5, and 8.7 on pages 449 - 451 in your textbook “A First Course in the Finite Element Method” by D. Logan. October 27
18 Do problems 9.2, 9.3, and 9.5 on pages 476 - 485 in your textbook “A First Course in the Finite Element Method” by D. Logan. November 10
19 Do problems 12.1 and 12.5 on pages 590 - 598 in your textbook “A First Course in the Finite Element Method” by D. Logan using SAP2000. November 12
20 Do problems 16.5 and 16.11c on pages 824-828 in your textbook “A First Course in the Finite Element Method” by D. Logan. November 24
21 Do problems 16.14 and 16.16 on pages 824-828 in your textbook “A First Course in the Finite Element Method” by D. Logan using SAP2000. November 24
 

 

 

 

 

 

 


This web site was originally developed by Charles Camp for CIVL 7117.
This site is Maintained by the Department of Civil Engineering at the University of Memphis.
Your comments and questions are welcomed.

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Department of Civil Engineering | 104 Engineering Science Bldg |Memphis, TN 38152 | Phone: 901/678-2746 | Fax: 901/678-3026 | Last updated: 12/02/2019