1
Seat No.: Enrolment
GUJARAT TECHNOLOGICAL UNIVERSITY
ME SEMESTER EXAMINATION SUMMER 2019
Subject Code: 3712011 Date: 08/05/2019
Subject Name: Advanced Structural Analysis
Time: 02:30 PM TO 05:00 PM Total Marks: 70
Instructions:
1. Attempt all questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.
Q.1

Analyze the continuous beam as shown in fig.01 by stiffness member approach and draw shear force bending moment diagrams. EI constant throughout the beam.
14
Q.2

Explain term non linearity. Discuss the various non linearity present in the structure. Also explain the method for analyzing the same.
07

Explain in brief various aspects of discretization of structures.
07
OR

Explain "Axisymmetric solids" with respect to finite element.
07
Q.3

Analyze the plane frame as shown in fig.02 and determine final end moments by stiffness member approach.
07

Draw shear force and bending moment diagram for the plane frame of Q.3 above.
07
OR
Q.3

Determine element forces of a truss as shown in fig.03 by stiffness member approach. AE constant for all the members.
07

Derive a member stiffness matrix of a truss in a global coordinate system.
07
Q.4

Using polynomial functions determine shape functions for a two noded beam element.
07

Determine strain displacement matrix for a two noded beam element. Use shape functions in generalized coordinate form.
07
OR
Q.4

A two noded bar element has length "l". Using generalized coordinates, find shape functions, strain displacement matrix and element stiffness matrix.
14
Q.5

Determine the shape functions for the constant strain triangle (CST). Use polynomial functions.
07

Obtain strain displacement matrix for CST element using natural coordinates.
07
OR
Q.5

Obtain strain displacement matrix for four noded quadrilateral element using natural coordinates.
07

State and explain three basic theorems on which isoparamatric concept is developed.
07

2
Fig.01 (Q.1
Fig.02 (Q.3
Fig.03 (Q.3 a OR)