Categories: Fourth Year First Semester (4-1)

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

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