Tuesday, June 17, 2014

Summer Term (Self Study): FEM


Schedule of Class Tests for CA marks; Summer Term Subject: Finite Element Methods in Structural Engg. (CVL628); 





Name of TestSyllabusDate of TestTimeVenue
Test-1 Unit A & Unit B 25/06/2014 3:00-3:45pm Cabin/Room 205; SET-3
Test-2 Unit C 02/07/2014 3:00-3:45pm Cabin/Room 205; SET-3
Test-3 Unit D & Unit E 09/07/2014 3:00-3:45pm Cabin/Room 205; SET-3





Useful Hint: 
Follow the book for FEM by Daryl L. Logan and my class notes.

Please find the Syllabus below:




7

Outline syllabus:
7.01
CVL628.A
Unit A
INTRODUCTION TO THE FINITE ELEMENT METHOD
7.02
CVL628.A1
Unit A Topic 1
What is the finite element method? Analytical and numerical methods. Classification of the problems
7.03
CVL628.A2
Unit A Topic 2
Basic concepts of matrix analysis of bar structures. Direct assembly of the global stiffness matrix
7.04
CVL628.A3
Unit A Topic 3
Derivation of the matrix equilibrium equations for the bar using the principle of virtual work
7.05
CVL628.B
Unit B
1D FINITE ELEMENTS FOR AXIALLY LOADED RODS
7.06
CVL628.B1
Unit B Topic 1
Approximation of the displacement field, Derivation of equilibrium equations for the elements, Computation of the axial strain and the axial force.
7.07
CVL628.B2
Unit B Topic 2
Solution using the element and global shape functions
7.08
CVL628.B3
Unit B Topic 3
Shape function matrix, Strain matrix, Constitutive matrix, Principle of Virtual Work, Stiffness matrix and equivalent nodal force vector.
7.09
CVL628.C
Unit C
2D SOLIDS. LINEAR TRIANGULAR AND RECTANGULAR ELEMENTS
7.10
CVL628.C1
Unit C Topic 1
Two dimensional elasticity theory , Displacement field, Stress-Strain field
7.11
CVL628.C2
Unit C Topic 2
Stiffness matrix and equivalent nodal force vectors for the 3-noded triangular element
7.12
CVL628.C3
Unit C Topic 3
The four node rectangular elements. Performance of the 3-noded triangle and the 4-noded rectangle
7.13
CVL628.D
Unit D
HIGHER ORDER 2D SOLID ELEMENTS. SHAPE FUNCTIONS AND ANALYTICAL COMPUTATION OF INTEGRALS
7.14
CVL628.D1
Unit D Topic 1
Complete polynomials in two dimensions. Pascal triangle
7.15
CVL628.D2
Unit D Topic 2
Lagrange rectangular elements
7.16
CVL628.D3
Unit D Topic 3
Analytic computation of integrals over rectangles
7.17
CVL628.E
Unit E
ISOPARAMETRIC 2D SOLID ELEMENTS. NUMERICAL INTEGRATION AND APPLICATIONS
7.18
CVL628.E1
Unit E Topic 1
Isoparametric quadrilateral elements
7.19
CVL628.E2
Unit E Topic 2
Numerical integration in two dimensions, numerical integration of the element matrices and vectors
7.20
CVL628.E3
Unit E Topic 3
Computer programming of stiffness matrixes and flexibility matrixes.

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