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Finite Element Analysis Mechanical Engineering

Entire syllabus of finite element analysis has been uploaded

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FEA Differential Equations

A differential equation is an equation which involves differential coefficients or differentials.

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Weighted residual method-1

FEA is nothing but a numerical method of solving a differential equation

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Weighted residual method-2

While solving a differential equation by numerical methods is to assume an approximate solution to the differential equation and minimize the error obtain... [Show More]

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Weighted residual method-3

While solving a differential equation by numerical methods is to assume an approximate solution to the differential equation and minimize the error obtaine... [Show More]

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Rayleigh Ritz Method

The Rayleigh–Ritz method determines the approximate solution u ¯ x by substituting the constants ai into Eq. The method is generally understood to be a... [Show More]

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Piecewise Rayleigh Ritz Method

The Ritz method is a direct method to find an approximate solution for boundary value problems. The method is named after Walther Ritz, and is also commonl... [Show More]

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One dimensional Problems

FEM is a weighted residual type numerical method and it makes use of the weak form of the problem.

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One dimensional Heat transfer Problems

The proposed FED-FEM can accommodate various thermal material properties and handle nonlinear characteristics involved in transient heat transfer problems.

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Analysis of Truss Element

The simplest and most widely used finite element for truss structures is the well-known truss or bar finite element with two nodal points. Such kind of fin... [Show More]

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Analysis of Beam Element

Beams are subjected to transverse loading, including transverse forces and moments that result in transverse deformation. Finite element equations for beam... [Show More]

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2 D elements

Common 2D problems include plane stress, plane strain, shell, axisymmetric solid, geogrid 2D, and gauging shell elements. Plain strain and axisymmetric sol... [Show More]

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Transient Analysis in FEA

Transient structural analysis is also referenced as flexible dynamic analysis. It can be used to find out the dynamic response of a structure under the act... [Show More]

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AXISYMMETRIC ELEMENTS

Axisymmetric elements are triangular tori such that each element is symmetric with respect to geometry and loading about an axis such as the z axis. Hence,... [Show More]

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Beam element with uvl

A beam element is a slender structural member that offers resistance to forces and bending under applied loads. A beam element differs from a truss element... [Show More]

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One dimensional fluid flow and fluid network, spring cart system

One-dimensional flow. It is the flow where all the flow parameters may be expressed as functions of time and one space coordinate only. The single space co... [Show More]

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Principle of minimum total potential

For conservative structural systems, of all the kinematically admissible deformations, those corresponding to the equilibrium state extremize (i.e., minimi... [Show More]

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Role of Jacobian in FEA

In a FE software, the Jacobian is a measure of the deviation of a given element from an ideally shaped element. The Jacobian value ranges from - 1.0 to 1.0... [Show More]

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