STATIC ANALYSIS ON A PLATE WITH A HOLE USING SOLIDWORK
AIM -
STATIC ANALYSIS ON A PLATE WITH A HOLE
OBJECTIVE -
Perform a static analysis on two models of plate with holes.
INTRODUCTION -
A static structural analysis determines the displacements, stresses, strains, and forces in structures or components caused by loads that do not induce significant inertia and damping effects.
LINEAR STATIC ANALYSIS
A linear static analysis is an analysis where a linear relation holds between applied forces and displacements. In practice, this is applicable to structural problems where stresses remain in the linear elastic range of the used material. In a linear static analysis the model’s stiffness matrix is constant, and the solving process is relatively short compared to a nonlinear analysis on the same model. Therefore, for a first estimate, the linear static analysis is often used prior to performing a full nonlinear analysis.
NON LINEAR ANALYSIS
A nonlinear analysis is an analysis where a nonlinear relation holds between applied forces and displacements. Nonlinear effects can originate from geometrical nonlinearity’s (i.e. large deformations), material nonlinearity’s (i.e. elasto-plastic material), and contact. These effects result in a stiffness matrix which is not constant during the load application. This is opposed to the linear static analysis, where the stiffness matrix remained constant. As a result, a different solving strategy is required for the nonlinear analysis and therefore a different solver.
CASE 1 - STATIC ANALYSIS ON SINGLE PLATE WITH CIRCULAR HOLE AT CENTER
DIMENSIONS -
Length = 300mm
Height = 120mm
Thickness = 30mm
Circular Hole at the center = Diameter=60mm
Above figure shows the model of plate with circular hole at the center. The model is drawn with the help of SOLIDWORKS part modelling tool. Futher we run the static analysis on this model.
MATERIAL APPLIED ON THE PLATE -
Above figure gives us the details of material selection and its properties before the performing the meshing and analysis. The material selected is alloy steel.
MESHING FORMED ON THE PLATE -
The gives shows the meshing on the model. The formed meshing looks quite good and the mesh type used is Solid Mesh.
VON MISES STRESS ON THE PLATE -
The figure shows us the von mises stress on the plate and also gives us the exact point where is stress is maximum and where is the least minimum stress. The maximum stress is 2.437e+003 and the least minimum stress is 6.361e+001. Here, at the right side we see the chart we shows us the variation of stress value over the plate.
STRAIN FORMED ON THE PLATE -
The figure shows us the strain on the plate and also gives us the exact point where the strain is maximum and where is the least minimum strain. The maximum strain is 8.816e-009 and the least minimum strain is 5.332e-010. Here, at the right side we see the chart we shows us the variation of strain value over the plate.
DISPLACEMENT ON THE PLATE -
The figure shows us the displacement on the plate and also gives us the exact point where the displacement is maximum and where is the least minimum displacement. The maximum displacement is 1.049e-006 and the least minimum displacement is 1.000e-030. Here, at the right side we see the chart we shows us the variation in displacement value on the plate.
FACTOR OF SAFETY ON THE PLATE -
Above figure shows us the Factor of safety of the plate and value is 2.5e+005 .
CASE 2 - STATIC ANALYSIS ON SINGLE PLATE WITH CIRCULAR HOLE AT CENTER AND TWO HOLES AT DISTANCES OF 90mm FROM THE CENTER AT BOTH SIDES.
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.
Above figure shows the model of plate with circular hole at the center and two holes at the distances of 90mm from center at both sides. The model is drawn with the help of SOLIDWORKS part modelling tool. Futher we run the static analysis on this model.
MATERIAL APPLIED ON THE PLATE -
Above figure gives us the details of material selection and its properties before the performing the meshing and analysis. The material selected is alloy steel.
VON MISES STRESS ON THE PLATE -
The figure shows us the von mises stress on the plate and also gives us the point where is stress is maximum and where is the least minimum stress. The maximum stress is 2.341e+006 and the least minimum stress is 5.788e+003. Here, at the right side we see the chart we shows us the variation of stress value over the plate.
STRAIN FORMED ON THE PLATE -
The figure shows us the strain on the plate and also gives us the point where the strain is maximum and where is the least minimum strain. The maximum strain is 8.849e-006 and the least minimum strain is 2.963e-008 . Here, at the right side we see the chart we shows us the variation of strain value over the plate.
DISPLACEMENT ON THE PLATE -
The figure shows us the displacement on the plate and also gives us the point where the displacement is maximum and where is the least minimum displacement. The maximum displacement is 1.134e-003 and the least minimum displacement is 1.000e-030. Here, at the right side we see the chart we shows us the variation in displacement value on the plate.
FACTOR OF SAFETY ON THE PLATE -
Above figure shows us the Factor of safety of the plate and value is 2.7e+002 .
COMPARISON BETWEEN THE ABOVE TWO CASES -
| CASES | MAXIMUM & MINIMUM STRESS (N/m2) | MAXIMUM & MINIMUM STRAIN (mm) | MAXIMUM & MINIMUM DISPLACEMENT (mm) | MINIMUM FACTOR OF SAFETY |
| CASE 1 | 2.437e+003 & 6.361e+001 | 8.816e-009 & 5.332e-010 | 1.049e-006 & 1.000e-030 | 2.5e+005 |
| CASE2 | 2.341e+006 & 5.788e+003 | 8.849e-006 & 2.963e-008 | 1.134e-003 & 1.000e-030 | 2.7e+002 |
CONCLUSION -
Here, above we can see that the stress and strain for CASE 1 is greater than CASE 2 because the stress concentrated in CASE 1 is at center hole but in CASE 2 we see that do to extra hole the stress is not properly concentrated.