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# Experiment to measure deflection when a force is applied to a cantilever.

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Introduction

Sc1 Investigation - bending of a Cantilever. Experiment to measure deflection when a force is applied to a cantilever. Introductory Diagram Aim To find out whether varying the load has any affect on the deflection (?d) of the ruler. Theory Elasticity is the property, which allows a material to regain its shape after being distorted. Some materials like, rubber bands, are much more elastic than others. The elastic limit of a material is the maximum amount by which it can be stretched and still regain its original shape after the distorting forces are removed. If a material is stretched beyond its elastic limit its shape is permanently changed. ' The deformation of a material is proportional to the force is applied to it, provided the elastic limit is not exceeded'. This is known as Hooke's Law, named after its discoverer, Robert Hooke, a 17th century scientist. Young's Modulus When stress is applied to a material, strain is produced in the material. ...read more.

Middle

4. Plastic behaviour - beyond the elastic limit, the wire loses its elasticity. Its behaviour is described as plastic because it does not regain its initial shape when the forces applied are removed. 5. The maximum stress, the point where the spring has its greatest strength it is sometimes called the ultimate tensile strength (UTS) of the material. 6. B, stands for the breaking point. Prediction I predict that increasing (F) force or load will increase the deflection (?d). I also predict that Hooke's Law is correct and that; ' The deformation of a material is proportional to the force is applied to it, provided the elastic limit is not exceeded'. Variables Independent variable - Weight Dependent variable- Extension Control variable - Ruler position, same ruler. Safety 1. Be careful, the ruler might break. Fair test 1. Use the same: - G Clamp Ruler Table Only change one variable in each investigation. Equipment G-Clamp Ruler (x2) ...read more.

Conclusion

The load is proportional to the extension, as found as evidence to Hooke's Law. ' The deformation of a material is proportional to the force is applied to it, provided the elastic limit is not exceeded'. However, my results do not show that there is a bend limit. This is probably because I did not put enough load on the end of the ruler to find this out. Evaluation I thought the investigation went well. My prediction turned out to be correct. I did have some anomalous results in my results but they were not totally wrong, they just were not as accurate as I would have liked them to be. If I had to repeat the experiment I would like to use a more accurate ruler that had a scale down to one tenth of a millimetre, rather than a one-metre ruler with a scale down to millimetres. Unfortunately, I could not use larger masses because the ruler might fracture and it could have disastrous results. I believe that it really was a fair test. I used the most accurate method possible to measure the deflection of the ruler with the resources available. ...read more.

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