Download AKTU B-Tech 8th Sem 2016-17 EME061 Finit Element Method Question Paper

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B.TECH.

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THEORY EXAMINATION (SEM–VIII) 2016-17

FINIT ELEMENT METHOD

Time: 3 Hours

Max. Marks : 100

Note: Be precise in your answer. In case of numerical problem assume data wherever not provided.

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SECTION – A

1. Explain the following:
   1. What is the stiffness matrix?
   2. What is finite element analysis?
   3. Write the advantage of Finite element method.
   4. Write the limitation of FEM.

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   5. Explain Galerkin method in short.
   6. What is the convergence?
   7. What is the Global matrix?
   8. Write the stiffness matrix for the beam element.
   9. Write the stages in finite element formulation.

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   10. Write the stiffness matrix for truss.

   10 x 2 = 20

SECTION – B

2. Attempt any five of the following questions:

   5 x 10 = 50

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   1. Derive the shape function for linear rectangular element in local coordinate system; give its dimension of side ‘r' and's' respectively.
   2. Discuss the errors involved in finite element solution with the example of a model second order differential equation in one dimension.
   3. For a square, isotropic elastic body of thickness ‘h', the displacement are approximated by: u(x, y) = (1 – x) yu1 + x(1 - y)u2 (x, y) = 0.
   4. State Kirchhoff's theory and Mindlin theory for plate bending problem. Using four corner nodes plate, explain displacement, rotation, strain force and moments for both
   5. What do you mean by isoparametric formulation of a finite element problem? Give an example of real field problem where superparameteric elements can be used and why?

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   6. Derive the Jacobian for a four nodel rectangular element having coordinates (0, 0), (2, 0), (2, 1) and (0,1)
   7. A steel rod subjected to compression is modeled by two bar element, as shown in figure. Determine the nodal displacement and the axial stress in each element. What other concern should be examined?
      

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