## User: shahanwazhavale

shahanwazhavale •

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#### Posts by shahanwazhavale

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... ### Consistent mass matrix
Mass matrix computed by considering mass to be distributed uniform throughout the element is known as consistent mass matrix.
Consistent matrix for bar element is given by
$[M] = \frac{\rho Ah_e}{2} \begin{bmatrix} 2 & 1 \\ 1& 2 \end{bmatrix}$
### Lumped mass ...

written 3 months ago by
shahanwazhavale •

**0**• updated 12 days ago by Yashbeer ♦♦**80**0

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... ![enter image description here][1]
[1]: https://i.imgur.com/E3tht51.png ...

written 3 months ago by
shahanwazhavale •

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... The expression for total potential energy is given by,
**π= U+H**
Differentiating above equation
**δπ= δU+δH**
In principle of virtual work **δU=δH**
**δπ = 0**
Hence we can conclude that a deformable body is in equilibrium when the potential energy is having stationary value.
Hence the principl ...

written 3 months ago by
shahanwazhavale •

**0**• updated 3 months ago by Sanket Shingote ♦♦**220**0

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... **Convergence:** In numerical method, we get an approximate solution. In FEA, the error gets reduced by increasing the number of elements or the degree of polynomial. If the final solution obtained matches with the exact one expected, within permissible error we say convergence is reached.
**Criter ...

written 3 months ago by
shahanwazhavale •

**0**• updated 3 months ago by Sanket Shingote ♦♦**220**0

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... **Sources of error in Finite Element Method**
**1. Discretization error:** Its results from transforming the physical problem into a finite element model and can be related to modeling the boundary condition. These results are more prominent in 2D and 3D problems and can be reduced by increasing th ...

written 3 months ago by
shahanwazhavale •

**0**• updated 20 days ago by Sanket Shingote ♦♦**220**0

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... **Shape Functions:** Shape functions are the polynomials meant to describe the variation of primary variable along the domain of element.
**Characteristic of Shape function**
1. Value of shape function of particular node is one and is zero to all other nodes.
2. Sum of all shape function is one.
3 ...

written 3 months ago by
shahanwazhavale •

**0**• updated 20 days ago by Sanket Shingote ♦♦**220**0

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... **Applications of Finite Element Method**
**1. Mechanical engineering:** In mechanical engineering, FEM applications include steady and transient thermal analysis in solids and fluids, stress analysis in solids, automotive design and analysis and manufacturing process simulation.
**2. Geotechnical ...

written 3 months ago by
shahanwazhavale •

**0**• updated 20 days ago by Sanket Shingote ♦♦**220**0

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... **Isoparametric element**
Generally it is very difficult to represent the curved boundaries by straight edge elements. A large number of elements may be used to obtain reasonable resemblance between original body and the assemblage. In order to overcome this drawback, isoparametric elements are use ...

written 3 months ago by
shahanwazhavale •

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... **Advantages of Finite Element Method**
1. Modeling of complex geometries and irregular shapes are easier as varieties of finite elements are available for discretization of domain.
2. Boundary conditions can be easily incorporated in FEM.
3. Different types of material properties can be easily ...

written 3 months ago by
shahanwazhavale •

**0**• updated 20 days ago by Sanket Shingote ♦♦**220**0

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... **h-method:-** More accurate information is obtained by increasing the number of elements. The name for the h-method is borrowed from mathematics. The variable h is used to specify the step size in numeric integration. If a part is modeled with a very course mesh, then the stress distribution across ...

written 3 months ago by
shahanwazhavale •

**0**• updated 20 days ago by Sanket Shingote ♦♦**220**#### Latest awards to shahanwazhavale

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