JNTU Kakinada B-Tech 4-1 MATRIX METHODS OF STRUCTURAL ANALYSIS R13 March 2018 Question Paper

IV B.Tech I Semester Supplementary Examinations, February/March – 2018
MATRIX METHODS OF STRUCTURAL ANALYSIS (Civil Engineering)Time: 3 hours Max. Marks: 70
Question paper consists of Part-A and Part-B
Answer ALL sub questions from Part-A
Answer any THREE questions from Part-B
*****

PART ?A (22 Marks)1. a) Explain the rank deficiency of a matrix. [3]
b) What are the characteristics of a beam element? [3]
c) Distinguish between the element and global stiffness matrices. [4]
d) What is a grid element and generate the stiffness matrix of a grid element? [4]
e) Explain the significance of sub-structuring. [4]
f) Differentiate a frame element and a truss element. [4]

PART ?B (3×16 = 48 Marks)2. a) Explain degrees of freedom of different types of structural elements. [8]
b) Explain the static and kinematic indeterminacy of various structural
components.
[8]

3. a) Derive the stiffness matrix of a two noded truss element of length ?L, and axial
rigidity ?AE?.
[8]
b) Obtain the force-displacement equation of a beam element. [8]

4. Using the stiffness method, analyse the beam supported and loaded as shown in
Figure (1) Assume the flexural rigidity is constant.

Figure (1)

[16]

5. Analyse the pin jointed steel plane truss supported and loaded as shown in
Figure (2). The cross-sectional area of each member is 1000 mm
2
.

Figure (2)

[16]

Code No: RT41018
Set No. 1
R13
2 m
60 kN
30 kN/m
3 m 4 m 1 m
10 kN
5 kN
2 m
10 kN
2 m
3 m
1 of 2
IV B.Tech I Semester Supplementary Examinations, February/March – 2018
MATRIX METHODS OF STRUCTURAL ANALYSIS (Civil Engineering)Time: 3 hours Max. Marks: 70
Question paper consists of Part-A and Part-B
Answer ALL sub questions from Part-A
Answer any THREE questions from Part-B
*****

PART ?A (22 Marks)1. a) Explain the rank deficiency of a matrix. [3]
b) What are the characteristics of a beam element? [3]
c) Distinguish between the element and global stiffness matrices. [4]
d) What is a grid element and generate the stiffness matrix of a grid element? [4]
e) Explain the significance of sub-structuring. [4]
f) Differentiate a frame element and a truss element. [4]

PART ?B (3×16 = 48 Marks)2. a) Explain degrees of freedom of different types of structural elements. [8]
b) Explain the static and kinematic indeterminacy of various structural
components.
[8]

3. a) Derive the stiffness matrix of a two noded truss element of length ?L, and axial
rigidity ?AE?.
[8]
b) Obtain the force-displacement equation of a beam element. [8]

4. Using the stiffness method, analyse the beam supported and loaded as shown in
Figure (1) Assume the flexural rigidity is constant.

Figure (1)

[16]

5. Analyse the pin jointed steel plane truss supported and loaded as shown in
Figure (2). The cross-sectional area of each member is 1000 mm
2
.

Figure (2)

[16]

Code No: RT41018
Set No. 1
R13
2 m
60 kN
30 kN/m
3 m 4 m 1 m
10 kN
5 kN
2 m
10 kN
2 m
3 m
1 of 2

6. a) What is static condensation and explain its significance? [8]
b) Explain the methods of handling the loads acting between the joints of various
types of members in stiffness method.
[8]

7. Define a stiffness coefficient and derive the stiffness matrix of a space truss
element.
[16]
Code No: RT41018
Set No. 1
R13
2 of 2