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Measurement is determined as the comparison of the physical quantity with its metric system or SI unit. A definite number of physical quantities is considered as its SI unit and it should be easily internationally acceptable and reproducible. Modulus elasticity is mainly considered as the object’s property by virtue of which material regains its main configuration after removing the material’s deforming force. “Young’s modulus elasticity is mainly defined as the ratio between stress and longitudinal strain up to the limit of elasticity“[Y=normal stress/longitudinal strain]”. The “Young modulus” unit of elasticity is “N/ (m2)” or (pa) Pascal and ML-1T-2 is the dimensional formula of Young modulus.
Young modulus: Overview
Hooke’s law in context to small deformations highlights that Young modulus is the constant ratio between stress over strain. Hooke’s law is applicable within the elasticity limit, where the ratio between longitudinal stresses corresponding to the longitudinal strain is constant “Y” is denoted as the young modulus of the body’s material.
Tensile stress/tensile strain
“Young’s modulus Elasticity” is the constant ratio of tensile stress over the tensile strain within the elastic limit. The restoring force which acts as per unit area in the internal part of a deformed body is known as the tensile stress “[Stress= Restoring force/Area]”. The unit of tensile stress is “N/ (m2)” or (pa) Pascal. ML-1T-2 is the dimensional formula of Young modulus, where tensile stress is determined as the tensor quantity. The ratio between change in dimension to the original dimension under tensile force is known as tensile strain [Strain= Change in configuration/ Original configuration] and is a dimensionless quantity.
Unit in SI system (measurement)
Formula for “Young’s modulus” is “Y=tensile stress/tensile strain= ((F/A)/ (dL/L)) =FL/A (dL) = {N/ (m2)} (Newton per meter square in metric system)”. As per Hooke’s law, the Young modulus is the constant ratio between tensile stresses over tensile strain for small deformations. If The rod is expanded by opposite and equal forces “F”, then tensile stress F/A is produced where “A” is the area of cross-section. The rod’s length will rise from “L” to “dL” and as a result, Y= (F/A)/ (dL/L) = (FL)/ [A (dL)], where the measurement unit is {N/(m2)}(Newton per meter square in metric or SI system).
Modulus elasticity
Elasticity is mainly considered as the object’s property by virtue of which body regains its main configuration after removing the material’s deforming force. In the case of smaller deformation, the stress in the material’s body is directly proportional to the tensile strain.In order to state the limit of elasticity, it can be stated that elastic bodies recover the main state on removal of the deforming forces within the material. Elastic bodies generally show the limit of elasticity up to a certain value of the body’s material deforming force. If the deforming forces go on increasing then a stage will be reached where even when removing the force,body will not return to its original state. Hence, the property of the elasticity will get destroyed. “Young’s Modulus Elasticity” is defined as the ratio between stress and strain .
Conclusion
A definite quantity magnitude adopted and defined by law or convention, which is used as a measurement standard of the same quantity, is called a measurement unit. As per Hooke’s law, “Young’s modulus” is the constant ratio between tensile stresses over the tensile strain. Modulus elasticity is mainly considered as the object’s property by virtue of which material regains its main configuration after removing the material’s deforming force. Bodies that regain the originality in their configuration are independently known as the perfect elasticity of the body, such as phosphor bronze, quartz, and so on. According to “Hooke’s law”, into elasticity limit, where stress is directly proportional to material’s body strain “[Stress=E*Strain], where E, is the Modulus Elasticity of the material of the body”.
