Reg.No:
SNS College of Technology,Coimbatore-35.
(Autonomous)
B.E/B.Tech- Internal Assessment -III
Academic Year 2016-2017(Even)
Sixth Semester
Aeronautical Engineering
B
AE 322 FINITE ELEMENT METHOD FOR AERONAUTICAL APPLICATIONS
Time: 11/2 Hours
Maximum Marks: 50
Answer All Questions
PART - A (5 x 1 = 5 Marks)
1.
2.
3.
4.
5.
The element stiffness matrix of the frame element has
a) 10 rows and 6 columns
b) 6 rows and 6 columns
c) 8 rows and 8 columns
d) None of these
The element stiffness matrix of the frame element is written as
a)[k] frame = [k] truss + [k] beam
b)[k] frame = [k] truss - [k] beam
c) [k] frame = [k] beam - [k] truss
d)None of these
The one dimensional linear truss element has
a)2nodes
b)3 nodes
c)6 nodes
d) 8 nodes
A framed structure of triangular shape is
a) Perfect
b) Imperfect
c) Deficient frame
d) Redundant
Maximum deflection in a S.S. beam with W at center will be
a) At the left hand support
b) Anywhere across the cross section
c) At the center
d) At the Right support
1
PART - B (5 x 2 = 10 Marks)
6.
State the properties of stiffness matrix
7.
Write down the expression of shape function N and displacement u for one
dimensional bar element.
8.
State the principle of minimum potential energy.
9.
Define inviscid flow.
10. Explain heat transfer
PART – C (14+14+7 = 35 Marks)
11. (a) For the triangular element, obtain the strain displacement relation matrix
and determine the strains. The nodal displacements are u1, u2, u3 = 0.001,
0.003, - 0.002, v1, v2, v3 = -0.004, 0.002, 0.005 mm.
14
(or)
(b) Evaluate [J] at £ and η = ½ for the linear quadrilateral element.
14
12. (a) A thin wall of 0.6m thickness having thermal conductivity of 1.2W/mK. 14
The wall is to be insulated with a material of thickness 0.06m having an
2
average thermal conductivity of 0.3W/mK. The inner surface temperature is
10000C and outside of the insulation is exposed to atmospheric air at 30 0C
with heat transfer coefficient of 35 Wm2K. Calculate the nodal temperature.
(or)
(b) Derive the one dimensional heat transfer conduction with free end
convection and one dimensional element with conduction, convection and
internal heat generation
14
13. (a) For the plane strain element, the nodal displacements are u1, u2, u3 = 0.005, 7
0, 0.005, v1, v2, v3 = 0.002,0,0. Determine the strain displacement matrix.
(or)
(b) Evaluate ∫1 𝑥4 + 𝑥2dx by applying 3 point Gaussian quadrature.
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