STATIC ANALYSIS ON THE DIFFERENT BEAM AND COMPARE THE STRESS, STRAIN, AND DEFORMATION.
AIM -
TO PERFORM STATIC ANALYSIS ON THE DIFFERENT BEAM AND COMPARE THE STRESS, STRAIN, AND DEFORMATION.
INTODUCTION -
The three different beams are different in cross section -
1 - Rectangular beam
2 - I section beam
3 - C channel beam
The sketches were extruded to a length of 400mm
A load was applied of 1500N on the smaller face(i.e. 45mm face for case 1, 40mm face for case 2 and 45 mm face for case 3)
DESCRIPTION OF ANALYSIS -
MATERIAL - Alloy Steel
MODEL TYPE - Linear Elastic Isotropic
DEFAULT FAILURE CRITERION - Max. von mises stress
YIELD STRENGTH - 6.20e+08 N/m2
TENSILE STRENGTH - 7.23e+08 N/m2
ELASTIC MODULUS - 2.1e+11 N/m2
POISSION RATIO - 0.28
MAXIMUM DENSITY - 7700 Kg/m3
SHEAR MODULUS - 7.9e+10 N/m2
CASE 1 - THE RECTANGULAR SECTION BEAM.
DIMENSIONS -
Length - 400mm
breath - 45mm
depth - 80mm
Analysis type - Static
Mesh type - Solid
Solver type - FFEPlus
So, in above figure -
The first diagram is of static stress were we see the maximum stress is 1.303e+06(n/m2) and the minimum stress is 1.197e+02(n/m2).
The second diagram is of static strain were we see the maximum strain is 4.037e-004(mm) and the minimum strain is 7.966e-01(mm).
The third diagram is of static deformation were we see the maximum deformation is 1.542e-004(mm) and the minimum deformation is 1.00e-30(mm).
The fourth diagram is sample model of the rectangular beam.
CASE 2 - THE I SECTION BEAM.
DIMENSIONS -
The above I cross section was extruded to 400mm long and made same as shown in above figure.
Analysis type - Static
Mesh type - Solid
Solver type - FFEPlus
So, in above figure -
The first diagram is of static stress were we see the maximum stress is 5.462e+006(n/m2) and the minimum stress is 9.195e-02(n/m2).
The second diagram is of static strain were we see the maximum strain is 1.486e-004(mm) and the minimum strain is 4.768e-01(mm).
The third diagram is of static deformation were we see the maximum deformation is 3.203e-004(mm) and the minimum deformation is 1.00e-035(mm).
The fourth diagram is sample model of the I cross sectional beam.
CASE 3 - THE C CHANNEL SECTION BEAM.
DIMENSIONS -
The above C cross section was extruded to 400mm long and made same as shown in above figure.
Analysis type - Static
Mesh type - Solid
Solver type - FFEPlus
So, in above figure -
The first diagram is of static stress were we see the maximum stress is 3.592e+006(n/m2) and the minimum stress is 6.272e-004(n/m2).
The second diagram is of static strain were we see the maximum strain is 1.122e-004(mm) and the minimum strain is 4.139e-01(mm).
The third diagram is of static deformation were we see the maximum deformation is 1.488e-004(mm) and the minimum deformation is 1.00e-030(mm).
The fourth diagram is sample model of the C channel sectional beam.
COMPARSION -
| MODEL | STRESS(N/m2) | STRAIN(mm) | DEFORMATION(mm) |
| Rectangular section | 1.303e+06 | 4.037e-004 | 1.542e-004 |
| I cross section | 5.462e+006 | 1.486e-004 | 3.203e-004 |
| C channel section | 3.592e+006 | 1.122e-004 | 1.488e-004 |
If we look at above table we can conclude that for the rectangular section beam the stress , strain and deformation are less as compared to other cases. Case 3 i.e., C channel section has more stress , strain , deformation then all others. For the I section all the values are optimum and are best for the static analysis purpose.