1.Discuss in detail about the general procedure for finite element analysis and describe its applications.

What are the general requirements of pre-processor and post-processor of a finite element package?

Using generalized coordinate approach, find the shape function of a two noded bar element.

Derive the strain displacement matrix for an axisymmetric triangular element.

Derive the stiffness matrix for plane truss element.

Distinguish between the following:

Plane stress and Plane strain condition.

Axisymmetric boundary condition and Polar symmetric boundary condition.

Derive the characteristic matrix for a two dimensional heat conduction problem using triangular element.

5. The figure given below depicts assembly of two bar elements made of different materials. Determine the nodal displacements, element stresses and reaction force.

<img src='./qimages/13396-5.jpg'>

Al 4 inch^2

E1 =15 X 10^6 lb/ inch^2

L1 =20 inch

A2 =2·25 inch^2

E2 =10 X 10^6 lb/ inch^2

L2 =20 inch

6. A long rod is subjected to loading and a temperature increase of 30°C. The total strain at a point is measured to be 1·2 x 10^-5.

If E =200 GPa, a =12 x determine the stress at the point.

7. Answer any two of the following questions:

Explain about Galerkin method and principle of minimum potential energy.

Discuss about the Linear and Quadratic shape function.

Specify strain displacement matrix of CST element and comment on it.