Static Analysis of Plate With Hole Using Solidworks

Static Analysis of Two Different Types of Plates with Hole Using Solidworks

Aim:- To perform static analysis on two type of plate with holes and find stress, strain, displacement when streched from two sides.

Theory:-

FEM is best understood from its practical application, known as finite element analysis (FEA). FEA as applied in engineering is a computational tool for performing engineering analysis. It includes the use of mesh generation techniques for dividing a complex problem into small elements, as well as the use of software program coded with FEM algorithm. In applying FEA, the complex problem is usually a physical system with the underlying physics such as the Euler's-Bernoulli's beam equation, the heat equation, or the Naviers-Stokes equation expressed in either PDE or integral equations, while the divided small elements of the complex problem represent different areas in the physical system.

FEA is a good choice for analyzing problems over complicated domains (like cars and oil pipelines), when the domain changes (as during a solid state reaction with a moving boundary), when the desired precision varies over the entire domain, or when the solution lacks smoothness. FEA simulations provide a valuable resource as they remove multiple instances of creation and testing of hard prototypes for various high fidelity situations. For instance, in a frontal crash simulation it is possible to increase prediction accuracy in "important" areas like the front of the car and reduce it in its rear (thus reducing cost of the simulation). Another example would be in numerical weather prediction, where it is more important to have accurate predictions over developing highly nonlinear phenomena (such as tropical cyclones in the atmosphere, or eddies in the ocean) rather than relatively calm areas.

Stress–strain analysis (or stress analysis) is an engineering discipline that uses many methods to determine the stresses and strains in materials and structures subjected to forces. In continum mechanics, stress is a physical quantity that expresses the internal forces that neighboring particles of a continuous material exert on each other, while strain is the measure of the deformation of the material.

In simple terms we can define stress as the force of resistance per unit per unit area, offered by a body against deformation. Stress is the ratio of force over area (S =F/A, where S is stress, F is the external force or load and A is the cross-sectional area). Strain is the ratio of change in length to the original length, when a given body is subjected to some external force (Strain= change in length÷the original length).

Stress analysis is a primary task for civil, mechanical and aerospace engineers involved in the design of structures of all sizes, such as tunnels, bridges and dams, aircraft and rocket bodies, mechanical parts, and even plastic cutlery and staples. Stress analysis is also used in the maintenance of such structures, and to investigate the causes of structural failures.

Objective:-

To calculate stress,strain,displacement in plate with hole when tensile force are applied on opposite ends and streched. Results are obtained in plot form which can be studied using legends given on it.

Calculations:-

Diagrams of Two Types of Plates with Holes :-

CASE 1

Length=300mm
Height=120mm
Thickness=30mm
Circular Hole at the center:
Diameter=60mm

CASE 2

Length=300mm
Height=120mm
Thickness=30mm
Circular Hole at the center:
Diameter=60mm

Two holes of 30 mm diameter which are placed 90mm away from the central hole on both sides.

Fixed Short Faces and Tensile Force Applied (Case 1):-

Fixed Short Faces and Tensile Force Applied (Case 2):-

Plots:-

Tensile Force Applied= 1000 N

Case 1:-

Stress

Strain

Displacement

Case 2:-

Stress

Strain:-

Displacement:-

From the above plot we can get the maximum stress, strain, displacement value and area where it occurs and give idea about design of that plate

Conclusion:-

From above study it can be concluded that maximum stress strain acts near the holes as their is decrease in strength of material due to removal material for making hole.