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RAJALAKSHMI ENGINEERING COLLEGE DEPARTMENT OF MECHANICAL ENGINEEIRNG ME 19601 – FINITE ELEMENT ANALYSIS VI SEMESTER PART-A QUESTION BANK Part-A 1. What are the various weighted residual methods? 2. List the advantages of FEA? 3. What is meant by Finite Element Analysis? 4. What are the types of boundary conditions? 5. What are primary and secondary field variable? 6. State the three phases of finite element methods 7. Write the expression for potential energy for a bar and beam element 8. Write the Advantage and disadvantage of FEM 9. What is meant by weak formulation and what are its advantages? 10. Write the general form of various weighted residual methods? 11. Why residue/error occurs in formulation of equation using weighted residual function? 12. What is Rayleigh-Ritz method and what are its advantages? 13. List various steps in FEA. 14. What are the advantages of weak formulation? 15. On what basis the Rayleigh-Ritz method was formulated. 16. What is meant by discretization? 17. What is node and element in FEA? 18. What are the requirements of creating an element? 19. List out various steps in FEA. 20. List various one-dimensional elements used in FEA. 21. Why FEA is an approximation method? Justify. 22. List various boundary conditions with an example. 23. Why interpolation polynomial is preferred over other form of equation as trial function? 24. What is bar element and when do you use this element in FEA? 25. What are beam elements and when do you use this element in FEA? 26. What is truss element and when do you use this element in FEA? 27. What is the basic difference between bar and beam elements? 28. Write the general form of Finite element equation. 29. What is shape function and what are its properties? 30. Write the shape function for 1D bar element. 31. Sketch the shape function of 1D element. 32. Write the expression for the general form for stiffness matrix[K] 33. Write the element stiffness matrix for 1D bar element. [Prepared by Dr.N.Venkateshwaran] 34. Write the shape function for beam element. 35. Write the element stiffness matrix for beam element. 36. Write the transformation matrix for truss element. 37. Why transformation matrix is required for truss element? 38. Write the element stiffness matrix for truss element 39. What is quadratic bar element? 40. Write the expression for the general form for load vector{F} 41. What are the boundary conditions for simply supported beam and cantilever beam? 42. Write the general form of FEA expression. 43. What will be the size of the stiffness matrix of an object divided by 4 bar elements? 44. What will be the size of the stiffness matrix of an object divided by 2 beam elements? 45. What are the properties of shape function? 46. What are the properties of stiffness matrix? 47. What is [B] and [D] matrix? 48. What is the value of [D] for bar and beam elements? 49. What are field variables and give some examples? 50. List out various modes of heat transfer. 51. Write formula to derive the stiffness matrix under conduction, convection from end/tip and convection from surface. 52. Write down the stiffness matrix for conduction, convection from end/tip and convection from surface. 53. Write down the force vector for convection from end/tip convection from surface and internal heat generation. 54. What is constitutive relation? 55. List two important material properties an FEA requires for structural application. 56. Write the material matrix for a 3D object. 57. List out the methods by which a 3D problem in FEA can be converted into a 2D problem. 58. List various 2D elements. 59. What are scalar variable and vector variable problems in 2D FEA? 60. What is CST, LST and QST elements? 61. Write the shape functions for a triangular element and axisymmetric element. 62. Sketch the shape functions for the CST element. 63. How many nodes a triangular and rectangular element has? 64. Write the stiffness matrix for triangular and rectangular element. 65. What is C0, C1 and C2 continuity? 66. What are higher order elements and give two examples in 2d elements? 67. Define plane stress and plane strain conditions. 68. State the conditions under which axisymmetry are considered. 69. What are isoparametric, sub-parametric and super parametric elements? 70. What are serendipity elements? [Prepared by Dr.N.Venkateshwaran] 71. What is LaGrange polynomial and what are its advantages in deriving shape function? 72. Compare LaGrange and Serendipity methods? 73. What are scalar and vector variable problems? 74. What are natural coordinates and what are its advantages? 75. What is lumped mass matrix and what are its advantages? 76. What is Jacobian matrix? 77. Explain two-point formula of gauss quadrature rule. 78. Distinguish between consistent mass matrix and lumped mass matrix. 79. What is transient vibration? 80. What is meant by dynamic analysis? 81. Write the general form of FEA equation for vibration problem. 82. What is Eigen value and vector? 83. State differences between longitudinal and transverse vibration. 84. What are free and forced vibration? 85. Write down the FEA equation for vibration analysis. 86. State the differences between consistent mass matrix and lumped mass matrix. 87. List various methods of evaluating Eigen value and vector. 88. Write the general expression of vibrational problem in FEA. 89. List various methods by which solution of an eigen value problem can be found out. 90. List out various types of non linearity in FEA. 91. Give any 2 examples of Nonlinearity in Geometry. 92. Give any 2 examples of material non linearity. 93. any 2 examples of contact non linearity. [Prepared by Dr.N.Venkateshwaran]