1
Seat No.: Enrolment
GUJARAT TECHNOLOGICAL UNIVERSITY
PDDC SEMESTER VII- EXAMINATION SUMMER 2017
Subject Code: X70606 Date: 03/05/2017
Subject Name: Advanced Structural Analysis
Time: 02.30PM to 05.00PM Total Marks: 70
Instructions:
1. Attempt all questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.
Q.1

Derive SMS matrix of plane truss member using usual notations.
07

Write basic steps of finite element analysis. Explain 'discretization' in detail.
07
Q.2

Explain 'Material Nonlinearity' and 'Geometry Nonlinearity' with respect to nonlinear analysis.
07

Determine joint displacement for the beam shown in fig. using stiffness member approach.
07
OR

Determine nodal displacements for the beam shown in fig. using finite element method.
07
Q.3

Find member forces of the plane truss shown in fig. 2.
14
OR
Q.3

Using stiffness member approach, find member end actions and draw bending moment diagram for the plane frame shown in fig. 3. Take EI EA constant, E 200 x 106 kN/m2, Iz 1 x 10-3 m4, and Ax 0.02 m2.
14
Q.4

Using stiffness member approach, find member end actions and draw bending moment diagram for the grid shown in fig. if the support settles by 5mm. Take E 200 x 106 kN/m2, Iz 1 x 10-3 m4, GJ 0.8 EI.
14
OR
Q.4

For a bar element shown in fig. find nodal displacements and element stresses using finite element method. Consider E 2 × 105 MPa.
14
Q.5

Evaluate the stiffness matrix for the CST elements shown in fig. 6. The coordinates are given in units of millimeters. Assume plane stress conditions. Take E 2.1 x 105 MPa, Poisson's Ratio 0.25, and thickness 10 mm.
14
OR
Q.5

Write an algorithm for the analysis of continuous beam by stiffness member approach.
14
2
3m
2m
20kN
Fig.
3m





1m
20kN/m
A
2m
50kN
B
C


2m
4m
Fig.
3

100mm
60mm
200mm
200mm
Fig. [OR
10kN
200mm
40mm
10kN
10kN
20kN
2m
4m
Fig.
2m
A
B
C
90o
4 m
4 m
A
B
C
20kN/m
Fig. [OR


90)
Fig.