Hall Ticket No Question Paper Code: BSTB01
INSTITUTE OF AERONAUTICAL ENGINEERING
(Autonomous)
M.Tech I Semester End Examinations (Regular) January, 2019
Regulation: IARE-R18
ADVANCED STRUCTURAL ANALYSIS
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 the stiffness influence coefficients of prismatic cantilever beam AB under UDL load subjected
to unit displacement at free end B.
Find the degree of redundancy of the Figure 1
Figure 1
2. If the member 2 of framed structure shown in Figure.2 is shorten by 0.01 Determine the force
in members .Assume AE 8x106 N.
Figure 2
Write step by step procedure of stiffness matrix in the analysis of continuous prismatic beam
ABC fixed at A and simply supported at B and C with UDL load over the entire span.
Assume support B is at mid span and C at end .
Page 1 of 4
UNIT II
3. Analyse the pin jointed truss frame shown in following Figure 3 by stiffness matrix Assume cross
sectional area of each member 1000mm2, E=2x105N/mm2
Figure 3
Analyze the continuous beam and find the support moments shown in Figure 4.
Figure 4
4. For the plane truss shown in below Figure 5 determine the element stiffness matrix and vertical
displacement at nodes .Assume cross section area of members 250mm2 E=2x105MPa.
Figure 5
Develop the stiffness matrix for the continuous beam shown in Figure 6.
Figure 6
Page 2 of 4
UNIT III
5. For the two bar truss element shown in Figure determine the displacement at Node 2 and
stresses in the elements .Assume cross sectional area of each member A=200mm2 and E=70GPa.

Figure 7
A beam fixed at one end supported by roller at other end has concentrated load 20kN at
centre span. Calculate the deflection under the load by stiffness matrix method. Assume
E=2x105N/mm2 and I=2500cm4. Assume length of beam 10m.

6. A stepped bar is subjected to axial load of 200kN at place of change in cross section as shown in
the Figure 8. Find Reaction forces and induced stresses in element 1 and 2
Figure 8
Analyze the frame shown in Figure 9 by using stiffness matrix method.
Figure 9
Page 3 of 4
UNIT IV
7. Analyse the continuous beam shown in Figure 10, if the support B sinks by 10mm. Use Displacement
method. Assume EI=6000kN-m2
Figure 10
Analyse the frame shown in Figure 11 by stiffness method. Assume EI constant.
Figure 11
8. Write the steps to develop stiffness matrix for indeterminate plane frames.
For the beam loaded as shown in Figure 12, determine the slope at nodes and 3 and vertical
deflection at midpoint of the distributed load in span BC.(EI constant)
Figure 12
UNIT V
9. Briefly explain different types of coordinate systems with neat sketches in matrix analysis
Briefly explain the following. List of coordinate system used in FEM Types of boundary
conditions
10. Derive shape function of one dimensional linear element (Use Matrix method)
What are the different types of element shapes used in finite element methods and explain with
neat sketches.