Mech 3-1 FEM

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 Mech 3-1 FEM
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Mech 3-1 FEM Important Topics Questions

UNIT– I: 

Finite Element Methods: Introduction to finite element method, stress and equilibrium, strain –
displacement relations, stress–strain relations, plane stress and plane strain conditions, variational and 
weighted residual methods, concept of potential energy, one dimensional problems.

UNIT– II: 

Discretization: Bar element formulation, Discretization of domain, element shapes, discretization 
procedures, assembly of stiffness matrix, band width, node numbering, mesh generation, interpolation 
functions, local and global coordinates, convergence requirements, treatment of boundary conditions. 
Analysis of Trusses: Finite element modeling, coordinates and shape functions, assembly of global 
stiffness matrix and load vector, finite element equations, treatment of boundary conditions, stress, 
strain and support reaction calculations

UNIT– III: 

Analysis of Beams: Element stiffness matrix for Hermite beam element, derivation of load vector for 
concentrated and UDL, simple problems on beams.

UNIT– IV: 

Finite element modeling: Finite element modeling of two dimensional stress analysis with constant 
strain triangles and treatment of boundary conditions, formulation of axi-symmetric problems. 
Higher order and iso-parametric elements: One dimensional, quadratic and cubic elements in 
natural coordinates, two dimensional four node iso-parametric elements and numerical integration.

UNIT– V: 

Steady state heat transfer analysis: One dimensional analysis of a fin. 
Dynamic Analysis: Formulation of finite element model, element consistent and lumped mass 
matrices, evaluation of eigen values and eigen vectors, free vibration analysis.

TEXT BOOKS:

1) The Finite Element Methods in Engineering /S.S.Rao /Pergamon. 
2) Introduction to Finite Elements in Engineering, Second Edition/ Tirupati Reddy 
Chandrupatla/ Prentice-Hall. 

REFERENCES:
1) Finite Element Method with applications in Engineering / YM Desai, Eldho & Shah 
/Pearson publishers 
2) An introduction to Finite Element Method /JNReddy/McGraw-Hill 
3) The Finite Element Method for Engineers–Kenneth H. Huebner, Donald L. Dewhirst, 
DouglasE. Smith andTed G. By rom/John Wiley & sons (ASIA) Pvt Ltd. 
4) Finite Element Analysis: Theory and Application with Ansys, Saeed Moaveniu, Pearson 
Education 
5) Finite Element Analysis: for students & Practicing Engineers / G.Lakshmi Narasaiah.



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