Sreenidhi Institute of Science & Technology(An Autonomous Institution)

Code No: 102CC02M. TECH. I – Year I – Semester Examinations, April, 2013 (Supplementary)

FINITE ELEMENT ANALYSIS ( CAD/CAM )Time: 3 Hours Max. Marks : 60

Note : No additional answer sheets will be provided.

Assume suitably missing data if any.

Part-A (Objective Type)Max.Marks:10

ANSWER ALL QUESTIONS.5*2=10

1. State generalized Hooke's Law for stress - strain relation.

2. What is nodal load vector for a bar subjected to temperature rise.

3. What are boundary conditions in heat transfer problems?

4. Differentiate between the lumped and consistent mass.

5. What is non - linearity?

Part – BMax. Marks: 50

ANSWER ANY FIVE QUESTIONS. EACH QUESTION CARRIES 10 MARKS.

1. Find the stress distribution in the cantilever beam shown figure -1 using one beam element.

2. a) Explain the applications of finite element analysis with suitable examples.

b) Derive the relation between strain and displacement from basic principles.

3. Calculate displacement vector and stresses for the following figure 1? Take E=2X105 N/mm2

4. One side of the 1D fin is exposed to a base temperature 1000C. Take K=45 W/m-0C; h=120 W/m2-oc and the other end is insulated. Find nodal temperatures with two elements approach.

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A 10

lfigure - 1

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5. Determine the Eigenvalues and Eigenvectors for the bar (by considering two equal length elements) fixed at one end due to axial vibrations.

6. a) Derive shape functions for a quadrilateral element in natural co-ordinate system.

b) Derive the Jacobian for a three - noded triangular element.

7. Write short notes on the following.a Numerical Integrationb Comparison of FEM with other methods.

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