Comparison of bending in beam
AIM:
To do a comparison between three types of beams in terms of stress, displacement, and strain generated during the bending load conditions by doing FEA in SOLIDWORKS
OBJECTIVE:
Draw the below provided sketches in solidworks.
extrude the sketches to a length of 400mm
Apply a load of 150N on the smaller face(i.e. 45mm face for case 1, 40mm face for case 2 and 45 mm face for case 3)
and compare the results of stress, displacement and strain for all the three cases and suggest the best out of the three.
case 1: rectangular section
| max.von mises stress(N/m^2) | 7.997x10^6 | N/m^2 |
| strain | 2.402x10^-5 | - |
| displacement | 3.100x10^-2 | mm |
| yield strength | 6.204x10^8 | N/m^2 |
| max.von mises stress(N/m^2) 2.30x10^7 N/m^2 |
| strain 7.65x10^-5 |
| displacement 8.537x10^-2 N/m^2 |
| yield strength 6.204x10^8 mm |
| max.von mises stress(N/m^2) 4.444x10^7 N/m^2 |
| strain 1.386x10^-4 -- |
| displacement 3.683x10^-1 mm |
| yield strength 6.204x10^4 N/m^2 |
conclusion:
For Beam of Rectangular Cross-section, the values of stresses, displacement and equivalent strain are minimum as compared to other beams. The factor of safety for the load applied is also maximum considering other beams. But the weight of the beam is significantly higher than other cases.
For Beam of I Cross-section, the values of stresses, displacement, equivalent strain, factor of safety are in between to that of other two cases. The weight of the beam is minimum compared to other beams.
For Beam of Channel Cross-section, the values of stresses, displacement, equivalent strain, factor of safety are minimum of all three cases.
If we compare the stress plots, maximum stress induced is less on the rectangular beam then on the I-Section and is maximum at C-Section.
Strain figures indicate that maximum change in length takes place in the C-section beam and minimum change in length occurs in I-section beam and the displacement plots indicate that minimum displacement occurs in the rectangular beam after application of 1500N and maximum displacement occurs in the C-section beam.
It can be seen that the C-section beam is subjected to torsion, therefore, it is the least preferred among the three beams.
Since stress induced in both the I-section and rectangular beam is under the yield strength therefore both the beams will sustain the force of 1500N property without failing, but if we look at the distribution of stress, it is quite evenly distributed in the I-section, which I feel will withstand larger force as compared to rectangular beam.