Hall Ticket No Question Paper Code: BST201
INSTITUTE OF AERONAUTICAL ENGINEERING
(Autonomous)
M.Tech I Semester End Examinations (Supplementary) July, 2017
Regulation: IARE-R16
MATRIX METHODS 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. Derive load vector and displacement matrix for simply supported beam subjected to w kN/m
uniformly distributed load long entire span of L.
Explain local and global stiffness matrix for a simple truss member with example.
2. Determine the degrees of statical and kinematic indeterminacy of the beam ABC shown in Figure
1.
Figure 1
Determine the degrees of statical and kinematic indeterminacy of the beam ABC shown in Figure
2.
Figure 2
UNIT II
3. Analyze the axially loaded structure as shown in Figure 3.
Page 1 of 4
Figure 3
The individual member properties are:
Find the displacement of the connections and the forces in each member.
Determine the force vector and displacement matrix for the following truss shown in Figure E
200 kN/mm2, The reference area is A 100 mm2.
Figure 4
4. Determine the force vector and displacement matrix for the following E 200 kN /mm2 area is
A 100 mm2.
Figure 5
Page 2 of 4
For the following frame shown in Figure determine the rotation of the joints and the bending
moment diagram. Neglect axial deformation. Take EI 1 105kN m2.
Figure 6
UNIT III
5. Analyze the continuous beam shown Figure 7. Assume that the supports are unyielding. Assume that
EI is constant for all members, using Flexibility Method.
Figure 7
6. A truss of span 7.5 m carries a point load of 1 kN at joint D as shown in Figure 8 find the reactions
and forces in the members of the truss, using Flexibility Method.
Figure 8
UNIT IV
7. Analyze the plane frame shown in Figure 9 by direct stiffness method. Assume that the flexural
rigidity for all members is the same. Neglect axial displacements.
Page 3 of 4
Figure 9
8. Analyze the continuous beam shown in Figure 10 assume that the supports are unyielding. Assume
EI to be constant for all members using direct stiffness method.
Figure 10
UNIT V
9. Write a short notes on following:
i. Static condensation of stiffness matrix
ii. Sub structuring of stiffness matrix
Summarize how stiffness matrix is also called as equilibrium method.
10. Analyze the truss given in Figure 11, member 13 is subject to a temperature change of 100oC. Where
EA 2104 kN, the area of member 12 as 2A, the area of member 13 as and the area of member
14 as Ap
2.
Figure 11