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Lecture Notes

UNIT 1:
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Historical Background
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INTRODUCTIION TO Weighted Residual Methods AND FORMULAS
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POINT DOMAIN AND SUDOMAIN COLLOCATION METHOD PROBLEMS
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THE LEAST SQUARE AND GALERKIN METHOD PROBLEMS
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Discrete and Continuous models- Boundary,Initial and eigen value problems
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Discrete and Continuous models- Boundary,Initial and eigen value problems
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RAYLEIGHRITZ METHOD PROBLEMS
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RAYLEIGHRITZ METHOD PROBLEMS
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Basic concepts of the Finite Element Method.
UNIT 2:
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Derivation of Shape function For 1D bar element
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Derivation of Stiffness matrices and force vectors and Problems
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problems on solid mechanics
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problems on solid mechanics 2
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problems on Heat transfer
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PROBLEMS OM HEAT TRANSFER AND DERIVATION OF STIFFNESS MATRIX FOR ONE DIMENSIONAL HEAT CONDUCTION ELEMENT
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PROBLEMS ON BEAM ELEMENT
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LONGITUDINAL VIBRATION FREQUENCIES AND MODE SHAPES
UNIT 3:
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INTRODUCTION TO TWO DIMENSIONAL SCALAR PROBLEMS /DERIVATION OF SHAPE FUNCTION FOR CST ELEMENT
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STRAIN DISPLACEMENT MATRIX FOR CST ELEMENT
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DERIVATION FOR STRESS -STRAIN DISPLACEMENT MATRIX FOR CST ELEMENT
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PROBLEM ON STIFFNESS MATRIX FOR CST ELEMENT 1
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PROBLEM ON STIFFNESS MATRIX FOR CST ELEMENT
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DERIVATION FOR STIFNESS MATRIX FOR CST ELEMENT
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QUADRILATERAL AND HIGHER ORDER ELEMENTS
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DERIVATION FOR STIFNESS MATRIX FOR CST ELEMENT
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QUADRILATERAL AND HIGHER ORDER ELEMENTS
UNIT 4:
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EQUATIONS OF ELASTICITY
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PROBLEMS ON PLANE STREES AND STRAIN DISPLACEMENT MATRIX FOR AXISYMMETRIC ELEMENT
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ELEMENTAL STIFNESS MATRIX (K) FOR AXIS SYMMETRIC ELEMENT
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PlaneSTRESS Problems
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PLANE STRESS PROBLEMS
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PLANE STRESS PROBLEMS
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TEMPERATURE EFFECTS AND STRESS CALCULATIONS PROBLEMS
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INRODUCTION TO PLATE AND SHELL ELEMENTS
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PLATE AND SHELL ELEMENTS PROBLEMS
UNIT 5:
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Introduction to Isoparametric elements ,concept of subparametric and super isoparametric element.
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Derivation for Shape functions for iso parametric elements
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Iso parametric elements problems
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Serendepity Elements
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Numerical integration and application to plane stress problems
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Guassian quadrature problems
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Solution Techniques to dynamic problems
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Introduction to Analysis Software