Hall Ticket No Question Paper Code: BST201
INSTITUTE OF AERONAUTICAL ENGINEERING
(Autonomous)
M.Tech I Semester End Examinations (Regular) January, 2018
Regulation: IARE-R16
MATRIX METHOD OF STRUCTURAL ANALYSIS
(Structural Engineering)
Time: 3 Hours Max Marks: 70
Answer ONE Question from each Unit
All Questions Carry Equal Marks
All parts of the question must be answered in one place only
UNIT I
1. Write force displacement relation for flexibility matrix and stiffness matrix.
Determine the degree of statical and kinematic indeterminacy of the frame shown in Figure 1.

Figure 1
2. Explain the local and global stiffness matrix for a cantilever beam subjected to uniform load w
kN/m over entire span.
Derive load vector and displacement matrix for simple truss member .
UNIT II
3. Find the reaction of the truss shown in Figure 2 using the stiffness matrix method.
Figure 2
E 200 kN mm2 The reference area is A 100 mm2
Page 1 of 4
Determine the bending moment diagram, the rotation of joint and the horizontal displacements
of joint 2 and 3 for Figure 3. Take EI 10x105 kNm2 and neglect axial deformations.
Figure 3
4. Determine the bending moment diagram, the rotation of joint and the vertical displacement
under the 80 kN point load for Figure 4. Take EI 10x105 kNm2 and neglect axial deformations.

Figure 4
Find the force at the member with E 200 kN mm2 area is A 100 mm2; using stiffness
method for Figure 5.
Figure 5
UNIT III
5. Analyze the continuous beam shown in Figure 6. Assume that the supports are unyielding.
Assume that EI is constant for all members.
Figure 6
Page 2 of 4
Analyze the continuous beam shown in figure 7 using flexibility method.
Figure 7
6. A plane truss is loaded and supported as shown in Figure 8. Determine the nature and magnitude
of the forces in the members' 1,2 and 3.
Figure 8
Analyze the frame shown in Figure 9 using flexibility method.
Figure 9
UNIT IV
7. Determine the forces in all the members of a cantilever truss shown in Figure 10.
Figure 10
Page 3 of 4
Analyze the frame shown in Figure 11 using stiffness method.
Figure 11
8. Analyze the continuous beam shown in Figure 12. Assume that the supports are unyielding.
Assume EI to be constant for all members
Figure 12
Analyze the continuous beam shown in Figure 13 using stiffness method.
Figure 13
UNIT V
9. Write short notes on following:
i)Static condensation of stiffness matrix ii) Sub structuring of stiffness matrix
Summarize what stiffness matrix is also called as equilibrium method
10. Explain the following special analysis procedures.
Explain the following special analysis procedures Cholesky factorization
Frontal solution of plane stress