Investigating a Cantilever
Research
A cantilever is a beam fixed at one end only. They are often used in
every day life in structures such as cranes, diving boards and
football stadiums.
Factors that effect the deflection of a cantilever are mass, length
and load.
3 forces affect a cantilever's deflection; these are gravitational
forces acting upon the mass and load of a cantilever a compressional
force acting on the underside of the cantilever and a tensional force
on the upper side of the cantilever. If the cantilever deflects too
much it will break. This is either because it is too long or too much
weight is acting upon it.
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Tensional Force Compressional + Tensional Force
Compressional Force Weight (Mass x Gravitational Force)
I'm going to investigate how changing the load will effect the
deflection of the cantilever.
Preliminary Test
The Preliminary test was taken to find the optimum length of the
cantilever for our investigation, a compromise between a very large
and very small deflection, one that was measurable and easy to take
readings off of. Also a perfect length so that the cantilever is safe
and isn't likely to break.
Length (mm)
Mass (g)
Start Height (mm)
Finish Height (mm)
Deflection (mm)
100
500
831
831
0
200
500
831
828
3
300
500
831
823
8
400
500
831
813
18
500
500
831
789
42
600
500
828
759
75
700
500
825
716
109
These are results of our preliminary test
From these results we decided that 500mm was the optimum length of the
cantilever.
Method
Total deformation of connecting rod after applied pressure of 16 Mpa is shown in figure no. 8.Small end of connecting rod will show the maximum deformation & there will be no any deformation at big end of connecting rod as it is fixed. The maximum deformation of 1.252 e-8 mm will occur at small end.
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