# Finite Elements Methods Important Questions – FEM Imp Qusts

## Finite Elements Methods Important Questions Pdf file – FEM Imp Qusts

Please find the attached pdf file of Finite Elements Methods Important Questions Bank – FEM Imp Qusts

UNIT – I

1. Using variational approach (potential energy), describe FE formulation for 1D bar element.
2. Using potential energy approach, describe FE formulation for plane truss Element.
3. Define principle of virtual work. Describe the FEM formulation for 1D bar element.

UNIT – II

1. Differentiate among Bar element, Truss element and Beam element indicating D.O.F and geometry characteristics.
2. Explain the elimination method and penalty method for imposing specified displacement boundary conditions
3. Derive the strain displacement matrices for triangular element of
revolving body.

UNIT-III

1. Derive the Stiffness matrix for a 3D truss Element.
2. Derive the stiffness matrix for
1
a a 2D truss Element.

UNIT – IV

1. Draw beam element in global and intrinsic co ordinate system.
2. Derive the Hermite shape functions for beam element.
3. Derive the Hermite shape functions for beam element.

UNIT – V

1. Explain Iso-parametric, sub-parametric and super-parametric element
2. Write short notes on Gaussian quadrature integrationtechnique
3. Derive the strain displacement matrix for triangular element.

UNIT – VI

1. Derive the a)shape function and b) strain displacement matrices for triangular element of revolving body
2. for the Isoparametric quadrilateral element shown in fig , determinethe local co-ordinates of the point P whose Cartesian co=ordinatesas(6,4)
3. Explain the concept of numerical integration and its utility in generating Isoperimetric finite element matrices.

UNIT – VII

1. Derive the Strain displacement Matrix for 2D-Thin plate. Consider the temperature field with
in the triangular element is given by T= N1T1 + N2T2 + N3T3.

UNIT – VIII

1. Evaluate natural frequencies for the CANTI LEVER beam shownin fig USING ONE ELEMENT
2. corresponding eigenvectors and mode shapes. take EI=FLEXURALRIGIDITY and density =ρ .A=AREA and LENGTH= L.
3. State the properties of Eigen Values.