Finite Element Analysis question Bank

	Question	Mark
	Applications
1.	Define mesh size controls	2
2.	Define modelling	2
3.	Differentiate keypoints from node	2
4.	What are the recent software for the analysis.	2
5.	What is element constants how it differ from material properties	2
6.	Detail the step by step procedure for the analyzing a tapered fin fixed at one end and free at other end loaded with axial load P at free end.Assume the dimension of the fin	16
	Introduction to FEM
1.	Define minimum potential energy	2
2.	Differentiate Ritz and Galerkin’s method	2
3.	Explain in detail about the steps in FEM	10
4.	Derive stiffness matrix for a rectangular element	12
5.	Derive the shape function for the CST element using natural coordinates	16
	Meshing
1.	Define background mesh	2
2.	Define Iso-parametric element	2
3.	What are the geometrical characteristics of the mesh	2
4.	What is a error,define its types	2
5.	What is a quadratic triangle	2
6.	What is adaptive mesh	2
7.	What is mesh refinement	2
8.	What is transformation matrix	2
9.	Derive the shape function for four noded Quadrilateral element	8
10.	How will represent the mesh parameter in parametric plane,explain	8
11.	Write in detail about mesh parameter	8
12.	Explain Geometrical representation of curve in detail	10
13.	Explain with diagram the mesh quality enhancement methods	10
14.	Describe the generation front method of meshing in detail	12
15.	Explain in detail about h method of meshing	12
16.	Elaborate the element and surface geometrical representation	16
17.	Explain 2D and 3D meshing methods in detail with fig.	16
	Nonlinear,Vibration
1.	Differentiate between consistent and lumped mass matrix	2
2.	Differentiate geometric and material nonlinearity	2
3.	What are the 3 forms of heat transfer	2
4.	A composite wall consists of three material.The outer temperature is To=20degc. Convection heat transfer takes place on the inner surface of the wall with Talpha=800deg C.and h= 25W/m^2/deg.C. Determine the temperature distribution in the wall.	16
5.	Find the natural frequency of longitudinal vibration of the unconstrained stepped bar of length 'l' and area 2A for element1 and A for element 2.	16
	Plane stress &Plane strain
1.	Differentiate the axisymmetric and 2D element	2
2.	What are the stress in the axisymmetric problems	2
3.	Derive the stress and strain element for the 2D element	16
	Finite Element Analysis
1.	Explain Elasticity and elastic limit?	2
2.	List any four approximate method?	2
3.	What do you mean by Approximate Method?	2
4.	What is BVP?Give an example.	2
5.	What is IVP?Give an example.	2
6.	What is meant by a Non-Structural Problem?	2
7.	What is meant by a Structural Problem?	2
8.	Write Stress Tensor in 2D?	2
9.	Write Stress Tensor in 3D?	2
10.	What do you mean by Approximate Solution?Give an Example.	4
11.	What do you mean by Exact Solution?Give an Example.	4
12.	Explain Rayleigh Ritz method of approximation?	8
13.	Explain Galerkin's method of Approximation?	8
14.	Explain Weighted Residual Technique?	8
15.	Derive the equilibrium equation for 3D state of stress?	16
16.	Derive the Strain-Displacement relation in 2D?	16
17.	Derive the Strain-Displacement relation in 3D?	16
18.	Derive the Stress-Strain relation in 2D state of stress?	16
19.	Derive the Stress-Strain relation in 3D?	16
20.	Explain Gaussian Elimination method with the aid of a simple problem?	16
21.	Find the maximum displacement of a Cantilever beam subjected to point load using Ritz method?	16
22.	Find the maximum displacement of a Cantilever beam subjected to point load using Galerkin’s method?	16
23.	Find the maximum displacement of a Cantilever beam subjected to point load using Weighted Residual method?	16
24.	Find the maximum displacement of a Cantilever beam subjected to UDL using Ritz method?	16
25.	Find the maximum displacement of a Cantilever beam subjected to UDL using Weighted Residual method?	16