Exam Details
| Subject | matrix method of structural analysis | |
| Paper | ||
| Exam / Course | b.arch | |
| Department | ||
| Organization | Visvesvaraya Technological University | |
| Position | ||
| Exam Date | 2018 | |
| City, State | karnataka, belagavi |
Question Paper
15CV652- MATRIX METHOD OF STRUCTURAL ANALYSIS
Module
1. Obtain the relation between system stiffness matrix and element stiffness matrix. 05marks
Show that stiffness matrix is inverse of flexibility matrix 05marks
Write the member flexibility matrix for the beam shown in fig. 16marks
2 1
EI, L 3
2. Define principle of contragradience. 05marks
Write the force transformation matrix for the beam shown in fig. by element approach.
A 40KN B 12KN/m C 06marks
2m 2m 5m
2I I
Write a note on system coordinator and element coordinators. 05marks
Module-2
3. Analyse the given truss shown in fig. by flexibility method using force transformation matrix. Draw BMD and elastic curve. Assume L/AE 1 for all the members. 16marks
10KN
B C 12KN
3m
A 4m D
4. Analyse the rigid jointed frame shown in fig. by flexibility method using force transformation approach. Draw BMD and elastic curve. 16marks
100KN 100KN
B 2m 4m 2m
I
6m, I 6m, I
A B
Module
5. Analyse the given beam by stiffness method using displacement transformation approach. Draw BMD and elastic curve. 16marks
40KN/m 200KN 20KN
A B C D
8m, 2I 4m I 2m 1m
6. Analyse the given frame in fig. by stiffness method. Use element approach. Draw BMD.
20KN 16marks
B C
3m I 2m
5m, 2I 5m, I
A D
Module-4
7. Analyse the given truss shown in fig. by flexibility method using force transformation matrix. Draw BMD and elastic curve. Area for all the members, A 5000mm2, modulus of elasticity, E 200 GPa, α 12 x º Temperature changes in member BC is -40ºC. 16marks
B -40ºC C
3m
A 4m D
8. Analyse the given beam by force method of analysis, having temperature change in members AB and BC of 15ºC. Depth of the beam is 400mm, α 10 x º E 30000 N/mm2, I 50 x 106 mm4. 16marks
20KN/m 40KN
A B C
4m 5m
9. Explain Local coordinates and global coordinates 04marks
ii) Properties of stiffness matrix
Assemble structure stiffness matrix for the given beam in fig. EI is constant.
20KN 20KN
A 5m 5m B 2.5m 2.5m C 12marks
I I
10. Analyse the given truss in fig., using direct stiffness method. Take AE 1 for all members.
A B C
45º 45º
1m 16marks
50KN
100KN
Module
1. Obtain the relation between system stiffness matrix and element stiffness matrix. 05marks
Show that stiffness matrix is inverse of flexibility matrix 05marks
Write the member flexibility matrix for the beam shown in fig. 16marks
2 1
EI, L 3
2. Define principle of contragradience. 05marks
Write the force transformation matrix for the beam shown in fig. by element approach.
A 40KN B 12KN/m C 06marks
2m 2m 5m
2I I
Write a note on system coordinator and element coordinators. 05marks
Module-2
3. Analyse the given truss shown in fig. by flexibility method using force transformation matrix. Draw BMD and elastic curve. Assume L/AE 1 for all the members. 16marks
10KN
B C 12KN
3m
A 4m D
4. Analyse the rigid jointed frame shown in fig. by flexibility method using force transformation approach. Draw BMD and elastic curve. 16marks
100KN 100KN
B 2m 4m 2m
I
6m, I 6m, I
A B
Module
5. Analyse the given beam by stiffness method using displacement transformation approach. Draw BMD and elastic curve. 16marks
40KN/m 200KN 20KN
A B C D
8m, 2I 4m I 2m 1m
6. Analyse the given frame in fig. by stiffness method. Use element approach. Draw BMD.
20KN 16marks
B C
3m I 2m
5m, 2I 5m, I
A D
Module-4
7. Analyse the given truss shown in fig. by flexibility method using force transformation matrix. Draw BMD and elastic curve. Area for all the members, A 5000mm2, modulus of elasticity, E 200 GPa, α 12 x º Temperature changes in member BC is -40ºC. 16marks
B -40ºC C
3m
A 4m D
8. Analyse the given beam by force method of analysis, having temperature change in members AB and BC of 15ºC. Depth of the beam is 400mm, α 10 x º E 30000 N/mm2, I 50 x 106 mm4. 16marks
20KN/m 40KN
A B C
4m 5m
9. Explain Local coordinates and global coordinates 04marks
ii) Properties of stiffness matrix
Assemble structure stiffness matrix for the given beam in fig. EI is constant.
20KN 20KN
A 5m 5m B 2.5m 2.5m C 12marks
I I
10. Analyse the given truss in fig., using direct stiffness method. Take AE 1 for all members.
A B C
45º 45º
1m 16marks
50KN
100KN
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