ME8692 FINITE ELEMENT ANALYSIS (FEA)
Prepared by
Er.NANDHAKUMAR (Admin)
Important questions
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Unit-1
1.Initial and Eigen value problems
2.Weighted residual method
3.Boundary value problems
Unit-2
1.One dimensional second order equation
2.Shape function and Stiffness matrices
3.Fourth order beam equation
Unit-3
1.Finite elements formulation
2.Elementa Matrix and vectors
3.Torsion of non circular shaft
Unit-4
1.body force and temperature effects
2.plate and shell elements
Unit-5
1.iso parametric elements
2.Numerical integration
3.Matrix solution
**Very important questions are bolded and may be asked based on this topic
PART-C
1.Compulsory Questions {a case study where the student will have to read and analyse the subject }
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- given data
- To find
- Formula used
- Solution
- If can final ans
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Share it as link alone . don't share it as screenshot or any text material if u found this anywhere kindly report me . #Admin WhatsAppContact uS
*These questions are expected for the exams This may or may not be asked for exams All the best.... from admin Santhosh
Thanks for your love and support guys keep supporting and share let the Engineers know about Us and leave a comment below for better improvements If there is any doubt feel free to ask me I will clear if I can or-else I will say some solutions ..get me through WhatsApp for instant updates ~$tuff$£ctorSYllabuSUNIT I INTRODUCTION
Historical Background — Mathematical Modeling of field problems in Engineering — Governing Equations — Discrete and continuous models — Boundary, Initial and Eigen Value problems– Weighted Residual Methods — Variational Formulation of Boundary Value Problems — Ritz Technique — Basic concepts of the Finite Element Method.
UNIT II ONE-DIMENSIONAL PROBLEMS
One Dimensional Second Order Equations — Discretization — Element types- Linear and Higher order Elements — Derivation of Shape functions and Stiffness matrices and force vectors- Assembly of Matrices — Solution of problems from solid mechanics and heat transfer. Longitudinal vibration frequencies and mode shapes. Fourth Order Beam Equation –Transverse deflections and Natural frequencies of beams.
UNIT III TWO DIMENSIONAL SCALAR VARIABLE PROBLEMS
Second Order 2D Equations involving Scalar Variable Functions — Variational formulation –Finite Element formulation — Triangular elements — Shape functions and element matrices and vectors. Application to Field Problems — Thermal problems — Torsion of Non circular shafts –Quadrilateral elements — Higher Order Elements.
UNIT IV TWO DIMENSIONAL VECTOR VARIABLE PROBLEMS
Equations of elasticity — Plane stress, plane strain and axisymmetric problems — Body forces and temperature effects — Stress calculations — Plate and shell elements.
UNIT V ISOPARAMETRIC FORMULATION
Natural co-ordinate systems — Isoparametric elements — Shape functions for iso parametric elements — One and two dimensions — Serendipity elements — Numerical integration and application to plane stress problems — Matrix solution techniques — Solutions Techniques to Dynamic problems — Introduction to Analysis Software.
Contact uS
*These questions are expected for the exams This may or may not be asked for exams
All the best.... from admin Santhosh
Thanks for your love and support guys keep supporting and share let the Engineers know about Us and leave a comment below for better improvements
If there is any doubt feel free to ask me I will clear if I can or-else I will say some solutions ..get me through WhatsApp for instant updates ~$tuff$£ctorUNIT I INTRODUCTION
Historical Background — Mathematical Modeling of field problems in Engineering — Governing Equations — Discrete and continuous models — Boundary, Initial and Eigen Value problems– Weighted Residual Methods — Variational Formulation of Boundary Value Problems — Ritz Technique — Basic concepts of the Finite Element Method.
UNIT II ONE-DIMENSIONAL PROBLEMS
One Dimensional Second Order Equations — Discretization — Element types- Linear and Higher order Elements — Derivation of Shape functions and Stiffness matrices and force vectors- Assembly of Matrices — Solution of problems from solid mechanics and heat transfer. Longitudinal vibration frequencies and mode shapes. Fourth Order Beam Equation –Transverse deflections and Natural frequencies of beams.
UNIT III TWO DIMENSIONAL SCALAR VARIABLE PROBLEMS
Second Order 2D Equations involving Scalar Variable Functions — Variational formulation –Finite Element formulation — Triangular elements — Shape functions and element matrices and vectors. Application to Field Problems — Thermal problems — Torsion of Non circular shafts –Quadrilateral elements — Higher Order Elements.
UNIT IV TWO DIMENSIONAL VECTOR VARIABLE PROBLEMS
Equations of elasticity — Plane stress, plane strain and axisymmetric problems — Body forces and temperature effects — Stress calculations — Plate and shell elements.
UNIT V ISOPARAMETRIC FORMULATION
Natural co-ordinate systems — Isoparametric elements — Shape functions for iso parametric elements — One and two dimensions — Serendipity elements — Numerical integration and application to plane stress problems — Matrix solution techniques — Solutions Techniques to Dynamic problems — Introduction to Analysis Software.
Historical Background — Mathematical Modeling of field problems in Engineering — Governing Equations — Discrete and continuous models — Boundary, Initial and Eigen Value problems– Weighted Residual Methods — Variational Formulation of Boundary Value Problems — Ritz Technique — Basic concepts of the Finite Element Method.
UNIT II ONE-DIMENSIONAL PROBLEMS
One Dimensional Second Order Equations — Discretization — Element types- Linear and Higher order Elements — Derivation of Shape functions and Stiffness matrices and force vectors- Assembly of Matrices — Solution of problems from solid mechanics and heat transfer. Longitudinal vibration frequencies and mode shapes. Fourth Order Beam Equation –Transverse deflections and Natural frequencies of beams.
UNIT III TWO DIMENSIONAL SCALAR VARIABLE PROBLEMS
Second Order 2D Equations involving Scalar Variable Functions — Variational formulation –Finite Element formulation — Triangular elements — Shape functions and element matrices and vectors. Application to Field Problems — Thermal problems — Torsion of Non circular shafts –Quadrilateral elements — Higher Order Elements.
UNIT IV TWO DIMENSIONAL VECTOR VARIABLE PROBLEMS
Equations of elasticity — Plane stress, plane strain and axisymmetric problems — Body forces and temperature effects — Stress calculations — Plate and shell elements.
UNIT V ISOPARAMETRIC FORMULATION
Natural co-ordinate systems — Isoparametric elements — Shape functions for iso parametric elements — One and two dimensions — Serendipity elements — Numerical integration and application to plane stress problems — Matrix solution techniques — Solutions Techniques to Dynamic problems — Introduction to Analysis Software.