ME-504 (C) RGPV B.Tech
Finite Element Method (FEM)
Previous year papers and the official syllabus are free to read, no account needed.
Previous Year Papers
1 paper, latest Dec 2024
Syllabus, notes and important questions for ME-504 (C)
Syllabus units
Topics as the official RGPV syllabus lists them.
Unit 1 Introduction 5 topics
- Structural analysis, objectives, static, dynamic and kinematics analyses
- Skeletal and continuum structures
- Modeling of infinite degree‑of‑freedom system into finite degree‑of‑freedom system
- Basic steps in finite element problem formulation
- General applicability of the method
Unit 2 Element Types and Characteristics 8 topics
- Discretization of the domain
- Basic element shapes
- Aspect ratio
- Shape functions
- Generalized co‑ordinates and nodal shape functions
- ID spar and beam elements
- 2D rectangular and triangular elements
- Axisymmetric elements
Unit 3 Assembly of Elements and Matrices 9 topics
- Concept of element assembly
- Global and local co‑ordinate systems
- Band width and its effects
- Banded and skyline assembly
- Boundary conditions
- Solution of simultaneous equations
- Gaussian elimination and Cholesky decomposition methods
- Numerical integration
- One‑ and 2D applications
Unit 4 Higher Order and Isoparametric Elements 4 topics
- One‑dimensional quadratic and cubic elements
- Use of natural co‑ordinate system
- Area co‑ordinate system continuity and convergence requirements
- 2D rectangular and triangular requirements
Unit 5 Static & Dynamic Analysis 9 topics
- Analysis of trusses and frames
- Analysis of machine subassemblies
- Use of commercial software packages
- Advantages and limitations
- Hamilton's principle
- Derivation of equilibrium
- Consistent and lumped mass matrices
- Derivation of mass matrices for ID elements
- Determination of natural frequencies and mode shapes