STUPIDSID
1 (a)
Write the stress- strain relationship for both plane stress and plane strain problems.
6 M
1 (b)
Discuss the types of elements based on geometry.
6 M
1 (c)
Explain the various application fields of finite method.
8 M
2 (a)
Derive an expression for total potential energy of an elastic body subjected to body force, traction force and point force.
8 M
2 (b)
Using Rayleigh's Ritz method, determine the displacement at mid-point and stress in linear one-dimensional rod as shown in fig Q2(b). Use second degree polynomial approximation for the displacement.
12 M
3 (a)
Write an interpolation polynomial for linear, quadratic and cubic element.
6 M
3 (b)
Explain simplex, complex and multiples elements using element shapes.
6 M
3 (c)
Derive the shape functions for a CST element.
8 M
4 (a)
Solve for nodal displacement and elemental stress for the following. FigQ4(a), show a thin plate of uniform thickness of 1 mm, Young's modulus =200GPa, weight density of the plate=76.6 × 10-6 N/mm3. In addition to its weight it is subjected to a point load of 100 N at its midpoint and model the plate with 2 bar elements
10 M
4 (b)
Determine the nodal displacement, reactions and stresses for Fig Q4 (b) using Penalty approach. Take E=210GPa, area =250m2.
10 M
5 (a)
Distinguish between lower and higher order elements.
8 M
5 (b)
Explain the concept ISO, sub and super parametric elements and their uses.
6 M
5 (c)
Write a note on 2- point integration rule for 1D and 2D problems.
6 M
6 (a)
Derive an expression for stiffness matrix of truss element.
8 M
6 (b)
For the pin-joined configuration shown in Fig Q6(b) formulate the stiffness matrix. Also determine nodal displacement and stress in each element.
12 M
7 (a)
Derive the Hermite shape function for a beam element.
8 M
7 (b)
For the beam and loading shown in Fig Q7(b), determine the slopes at 2 and 3, vertical deflection at the mid points of the distributed load. Take E=200GPa, I=4 × 106 mm4.
12 M
8 (a)
Discuss the derivation of one dimensional heat transfer in thin fin.
8 M
8 (b)
Determine the temperature distribution through the composite wall, subjected to convection heat transfer on the right side surface, with convective heat transfer co-efficient shown in Fig Q8(b). The ambient temperature is -5°C. Assume unit area.
12 M
More question papers from Finite Element Methods