STUPIDSID
1 (a)
Obtain an equilibrium equation of a 3-D elastic body subjected to a body force.
8 M
1 (c)
Explain the general description of finite element method.
6 M
1(b)
Discuss the types of elements based on geometry.
6 M
2 (a)
Derive an expression for Total potential energy of an elastic body subjected to body force, traction force and a point force
8 M
2 (b)
Using Raleigh's Ritz method find a deflection of a simply supported beam of length L subjected to a uniformly distributed load of P0 N/m.
12 M
3 (a)
Write an interpolation polynomial for liner quadratic and cubine element.
6 M
3 (b)
Obtain an expression for a strain displacement matrix of a rectangular element.
14 M
4 (a)
Determine the nodal displacements, reactions and stresses for the Fig. Q4 (a) using penalty approach. Take E =210GPa, Area=250mm2.
12 M
4 (b)
Find the nodal displacement stress and strain of the system shown in fig Q4(b).Take E=70GPa, Area -1m2.
8 M
5 (a)
Find the shape functions of a 2-D quadrilateral quadratic (9 noded) element.
14 M
5 (b)
With a sketch define ISO, Sub and super parametric elements
6 M
6 (a)
Obtain an expression for stiffness matrix of a truss element.
8 M
6 (b)
Find the nodal displacement, stress and reaction of truss element shown in fig Q6(b). take E=70GPa, Area =200mm2.
12 M
7 (a)
Derive the Hermine shape function of a n beam element
8 M
7 (b)
For the beam and loading shown in fig Q7(b) determine the slopes at 2 and 3 and the vertical deflection at the midpoints of the distributed load. Take E=200 Gpa, I=4×106 mm4.
12 M
8 (a)
Discuss the derivation of one dimensional heat transfer in thin films
8 M
8 (b)
A composite wall consists of 3 material shown in fig Q8(b). the outer temperature is T0=20°C, determine the temperature distribution in the wall. Convection heat transfer takes place at inner surface with T&infty;=800°C. Take h=25 w/m2°C area=1m2.
12 M
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