Investigating a Cantilever

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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

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