Friday, August 23, 2019
Lab Report Example | Topics and Well Written Essays - 1250 words
Lab Report Example Youngââ¬â¢s Modulus is the measure of the materialââ¬â¢s stiffness. The Youngââ¬â¢s Modulus indicates the extent to which a material stretches as a result of stress. Mathematically, the Youngââ¬â¢s Modulus can be expressed as In two graphs below shows the experimental results of values of stress plotted against strain (stress-strain graph) for steel and aluminium. From the two graphs, the Youngââ¬â¢s modulus for the two materials: Steel and aluminium were determined. Hookââ¬â¢s law of elastic states that Load or Force is directly proportional to the extension of the material so long as the given load does not exceed an elastic limit. This relationship is often expressed as the word done or Elastic Potential Energy required to stretch a material and it is equal to the area of the Tension/extension graph and can be expressed as We therefore, used the above principle to find the area under the curve. This way, the area is the cross section area of the steel which is 10.12 mm2 (12.49 mm X 0.81 mm). Equally, the modulus of elasticity of steel was found from the stress-strain graph as: The results of this experiment shows that steel has a higher Modulus of Elasticity compared to Aluminium. Based on the results of this experiment the Modulus of Elasticity of Steel is , which is higher to the Aluminiumââ¬â¢s Modulus of Elasticity 70.8KN/mm2. This are in conformity with what has been found in literature. Studies show that for steel, the Modulus of Elasticity is 180 x 109N/m2 which is equivalent to 180 KN/mm2 (Krueger, 2007). On the other hand, literature gives the value for Modulus for Elasticity for Aluminium as 69x 109N/m2, which is an equivalent of 69Nmm2 (Krueger, 2007). This clearly demonstrates that modulus of elasticity for Steel is higher than that for Aluminium. However, what is appalling is that the experimental Modulus of Elasticity values (both steel was and aluminium) are slightly higher than what has been documented. To ascertain the accuracy of
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