STUPIDSID
1(a)
Derive the equilibrium equations of a three dimensional body subjected to a body force.
8 M
1(b)
Explain the general description (steps) of FEM.
6 M
1(c)
Briefly explain the types of elements based on geometry.
6 M
2(a)
State principle of virtual work and principle of minimum potential energy.
4 M
2(b)
Calculate an expression for deflection in a simply supported beam under uniformly distributed load Po ever entire length L using Rayleigh Ritz method.
10 M
2(c)
What are the steps involved in Galerkin's method to find out deflection?
6 M
3(a)
Explain two dimensional Pascal's triangle.
5 M
3(b)
Define interpolation polynomial,
simplex,
complex and multiplex elements and cubic element.
simplex,
complex and multiplex elements and cubic element.
5 M
3(c)
Find the shape function of a CST element and plot the same.
10 M
4(a)
FigQ4(a) shows a thin plate of uniform thickness of 1 mm, weight density = 76.6×10-6 N/mm3 and subjected to point load of 1kN at its midpoint. Take E = 200 Gpa. Evaluate nodal displacement,
stresses and reaction. Using elimination techniques.
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stresses and reaction. Using elimination techniques.
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10 M
4(b)
Find the nodal displacement,
stresses and reactions of a Fig.Q4(b). Using penalty approach method.
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stresses and reactions of a Fig.Q4(b). Using penalty approach method.
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10 M
5(a)
Obtain the shape functions of quadratic bar element.
10 M
5(b)
Use two point Gauss quadrature to evaluate the integral \(I=\int_{0}^{3}\left ( 2^\S -\S \right )d\S .
\)
10 M
6(a)
Derive an expression for stiffness matrix of a 2 noded truss element.
10 M
6(b)
Determine the nodal displacement in the truss segment subjected to concentrated load as shown in Fig Q6 (6).Take E= 70GPa A=0.01m2.
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10 M
7(a)
Obtain Hermite shape function of a beam element .
10 M
7(b)
Find the deflection at the tip and the support reaction of cantilever shown in Fig.7(b).
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10 M
8(a)
Obtain the governing equation of one dimension heat conduction.
10 M
8(b)
Calculate the tempreature distribution in a one dimensional fin with the physical properties shown in Fig 8(b).There is a uniform generation of heat inside the wall of\(\bar{Q}=400W/m^3 \).
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10 M
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