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23MET304 FINITE ELEMENT ANALYSIS

By Dr Subramanian Categories: MECH

About Course

This course introduces the fundamentals of the Finite Element Analysis, a numerical method used to solve complex engineering problems in structures and materials. Students learn how to discretize physical systems into finite elements and apply mathematical formulations to analyze stresses, strains, and displacements. The course also covers practical applications of FEA in mechanical design and engineering simulations using computational tools.

Course Content

SYLLABUS

23MET304 FINITE ELEMENT ANALYSIS

LECTURE NOTES

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23MET304 FINITE ELEMENT ANALYSIS

About Course

Course Content

SYLLABUS

23MET304 FINITE ELEMENT ANALYSIS

LECTURE NOTES

UNIT-1.1 Engineering Applications of FEA

UNIT-1.2 Introduction to Finite Element Analysis

UNIT-1.3 – Variation formulation in FEM – Weighted residual technique

UNIT 1.4- Variation formulation in FEM – Weighted residual techniques applied to simple problems

UNIT 5 – Rayleigh¬ Ritz method

UNIT 1.6-Rayleigh Ritz method applied to simple problems

UNIT 2.1-1–D bar element-shape function using natural coordinates and generalized coordinates

UNIT 2.2-Stiffness matrix of a 1- D bar element –finite element formulation

UNIT 2.2-Stiffness matrix of a 1- D bar element –finite element formulation

UNIT 2.3-Stiffness matrix of a 1- D bar element – finite element formulation example problems

UNIT-2.4-Load vector and assembly of global equations example problems

UNIT 2.5-Temperature effects–example problems.

UNIT 2.5-Temperature effects–example problems.

UNIT-2.6 Stiffness matrix and finite element equation for a two node Truss element

UNIT 2.7-Beams element – example problems

3.1-Finite element modeling –2-D element under plane stress and plane strain conditio organized

3.2 Shape function for the Constant Strain Triangular element using natural coordinates and georganized

3.3 Strain displacement matrix of CST element [B} organized

3.4 Finite element formulation CST element-CST_Finite_Element_Formulation_Handbook organized

3.5 Finite element formulation CST element- example problems Ex 1 FEA_CST_Element_B_Matrix_Derivation

3.6 Finite element formulation axisymmetric element Axisymmetric_FEM_Stiffness_Derivation

3.7 Finite element formulation axisymmetric element – example pr4-Ex1 Axisymmetric_B_Matrix_Calculation