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AKTU Finite Element Methods (BME053) Syllabus PDF – B.Tech 3rd Year

Finite Element Methods BME053

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  • Semester 5
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Official AKTU syllabus of Finite Element Methods (BME053) for B.Tech 3rd Year – 3 credits, L-T-P 3-0-0. Read the unit-wise course content, course outcomes, evaluation pattern and recommended books online, or download the PDF.

Syllabus — Finite Element Methods

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BME053 · 3 credits · L-T-P 3-0-0

Course Outcomes

Course Outcome: Student will be able toBloom Taxonomy
CO1Understand the basic concepts of FEM and its applications.K2
CO2Apply the procedure involved to solve a problem using Finite Element Methods.K3
CO3Develop the element stiffness matrices using different approach.K3
CO4Analyze 1D and 2D problem using different methods.K4
CO5Analyze the complex geometric problems through FEM software packages.K4

Unit 1(8-Hours)

Introduction, exact solution vs approximate solution, principle of FEM, application of FEM, general procedure for finite element analysis, pre‐processing, solution, post processing, Stresses and Equilibrium; Boundary Conditions.

Unit 2(8-Hours)

Strain‐Displacement Relations, Stress–strain relations, Effect of temperature, various approximate methods: weighted residual method, variational or Rayleigh Ritz method, Galerkin’s method, principle of minimum potential energy.

Unit 3(8-Hours)

Basic element shapes, generalized co‐ordinates, polynomials, natural co‐ordinates in one‐two‐and three‐dimensions, Lagrange and Hermite polynomials, Application of Finite Element Methods to elasticity problems and heat conduction Problems.

Unit 4(8-Hours)

One dimensional problem of finite element model, Coordinates and Shape function, Potential‐energy approach, Galerkine approach, Assembly of Global Stiffness Matrix and Load Vector. Plane trusses:

Global and local coordinate system and stress calculation. Beams and Frames: finite element formulation and calculation of Shear Force and Bending Moment.

Unit 5(8-Hours)

Two‐dimensional problem using Constant Strain Triangles and Four‐node Quadrilateral, Problem modelling and Boundary conditions. Practical consideration in finite element applications, problem solving on a general purpose FEM software package like ANSYS, ABAQUS, NISA etc.

Text Books

  1. Chandrupatla, T. R. and Belegundu, A. K., Introduction to Finite Elements in Engineering, Pearson Education, India (2001).
  2. Rao, S. S., Finite element method in engineering, 5th Edition, Pergaman Int. Library of Science, 2010.
  3. Huebner, K. H., The Finite Element Method for Engineers, John Wiley, New York (2001).
  4. Logan, D. L., A first course in the finite element method,6th Edition, Cengage Learning, 2016.

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