ANALYSIS ON A PLATE WITH A HOLE | SOLIDWORKS SIMULATION | FEA

ANALYSIS ON A PLATE WITH A HOLE

AIM:

To perform static loading analysis (FEA) on the given CAD models.

OBJECTIVE:

In this project, the main objective is to compare the tensile force applied to the two types of plates which is extruded to a width of 30mm. After this, a baseline simulation is run on these plates at an external force of 1000N acting upon their smaller face and compare the results of stress, displacement, and strain for all the two plates. Also, to suggest the best out of the three.

INTRODUCTION:

FEA (Finite Element Analysis): FEA is an analysis method using FEM (Finite Element Method) to solve the structural problems. The finite element method is a numerical technique for obtaining an approximate solution to a wide variety of engineering problems. The method originated in the aerospace industry as a tool to study stresses in the complex air-frame structure.

STRESS: When a body is acted upon by an external force or load, internal resisting force is set up, such a body is said to be in a state of stress, hence stress is the resistance offered by the body to deformation.

TENSILE STRESS: Tensile stress is the stress state caused by an applied load that tends to elongate the material in the axis of the applied load, or in other words, the stress caused by pulling the material. The strength of structures of equal cross-sectional area loaded in tension is independent of the shape of the cross-section.

Materials loaded in tension are susceptible to stress concentrations such as material defects or abrupt changes in geometry. However, materials exhibiting ductile behavior can tolerate some defects, while brittle materials (such as ceramics) can fail well below their ultimate material strength. Tensile stress is the stress state leading to expansion; that is, the tensile stress may be increased until the reach of tensile strength, namely the limit state of stress.

The formula for computing the tensile stress in a rod is:

Tensile Stress `= F/A`

Tensile stress causes stress corrosion cracking (SCC), which is the combined influence of tensile stress and a corrosive environment. The required tensile stresses may be in the form of directly applied stresses or in the form of residual stresses.

GEOMETRY OF PLATES:

CASE 1

The dimensions for the first case are as follows:

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

CASE 2

The dimensions for the second case are as follows:

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

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

PROCEDURE:

• Creating geometries in SolidWorks.
• After creating the geometry, extrude it to 30mm.
• Under Simulation, perform a new study for static analysis.
• General steps in FEA problem:
• PRE-PROCESSING: -
• Defining material property. Here we have defined the material for each beam to be PLAIN CARBON STEEL.

PROPERTY	VALUE	UNIT
Elastic Modulus	2.1e+11	N/m^2
Poisson's Ratio	0.28	N/A
Shear Modulus	7.9e+10	N/m^2
Mass Density	7800	kg/m^3
Tensile Strength	399826000	N/m^2
Compressive Strength		N/m^2
Yield Strength	220594000	N/m^2
Thermal Expansion Coefficient	1.3e-05	/K
Thermal Conductivity	43	W/(m·K)
Specific Heat	440	J/(kg·K)
Material Damping Ratio		N/A

• SOLVING: -
• Types of Analysis: Static Analysis
• Beams are fixed at one end of the extrusion along the cross-section.
• The 3D model is fixed from one face and a 1000N load was applied over the other face
• The Simulation was run using after refining mesh for good results.
• POST PROCESSING: -
• Results: Stress, strain, and displacement contours/plots.

OUTPUT:

CASE 1:

OBSERVATION 1:

• Stress Contour: It achieves maximum yield strength at 1.170e+06 N/mm.
• Displacement Contour: It is quite evident from the contour that fixed end does not experience any changes, as we move to the other end, displacement is maximum at a distance of 5.240e-04 mm.
• Strain Contour: Maximum strain is experienced on the fixed end i.e. 4.306e-06.

CASE 2:

OBSERVATION 2:

• Stress Contour: It achieves maximum yield strength at 1.444e+06 N/mm.
• Displacement Contour: It is quite evident from the contour that fixed end does not experience any changes, as we move to the other end, displacement is maximum at a distance of 5.663e-04 mm.
• Strain Contour: Maximum strain is experienced on the fixed end i.e. 4.18e-06.