Regd. No.
15-A-1164
B.E. (AERONAUTICAL ENGINEERING) DEGREE EXAMINATIONS, APRIL 2019
SIXTH SEMESTER
615AET04 - FINITE ELEMENT ANALYSIS
(REGULATIONS 2015)
Time: 3 Hours
Maximum: 100 Marks
Answer ALL the questions
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
PART – A (10 X 2 = 20 Marks)
What are the main steps involved in FEA?
List the two types of boundary conditions.
Identify the types of load acting on structure.
Define body force.
State the plane stress analysis.
Write the displacement function for CST element.
What is axisymmetric element?
Identify the assumptions made for thin plate element.
List the four types of non-linearity.
Name the standard FEA packages.
PART – B (5 X 16 = 80 Marks)
11. a) The following differential equation is available for a physical phenomena 𝐴𝐸
the boundary condition 𝑦0 = 0 and x = L,
𝑑𝑦
𝑑𝑥
d2 y
𝑑𝑥 2
+ 𝑞0 = 0 with
= 0.
(OR)
11. b) A simply supported beam subjected to a uniformly distributed load over entire span as shown in
FIG.1. Determine the bending moment and deflection at the mid span by Rayleigh – Ritz method
and compare with exact solutions.
FIG. 1
12. a) For the three bar truss element as shown in FIG. 2 determine the displacements of node 1 and the
stress in element 3.
FIG. 2
(OR)
d2 u
12. b) The following differential equation is available for a physical phenomena 𝐴𝐸 𝑑𝑥 2 + 𝑎𝑥 = 0 .
𝑑𝑦
The boundary conditions are U(0) = 0, AE𝑑𝑥 = 0 at x = L. By using Galerkin’s technique, find the
solution for above differential equation.
13. a) Determine the stiffness matrix for the CST element shown in FIG.3. The coordinates are given in
mm. Assume plane strain condition E = 210GPa, v = 0.24 and t = 10 mm.
FIG. 3
(OR)
13. b) Derive the expression of shape function for heat transfer in 2D element.
14. a) The nodal coordinates for an axisymmetric triangular element are given in FIG. 4. Find the strain
displacement matrix.
FIG. 4
(OR)
14. b) For the element shown in FIG. 5, determine the stiffness matrix. Take E = 200GPa and v = 0.25.
FIG. 5
15. a) Exemplify the step by step procedure for structural analysis any element using Ansys software.
(OR)
1
1
15. b) Evaluate I = ∫−1 [3𝑒 𝑥 + 𝑥 2 +
] 𝑑𝑥 using one point and two point Gauss quadrature, compare
𝑥+2
with exact solution.