How will Poison’s Ratio of a material Affect its Strength?
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Poison’s ratio is the ratio of lateral strain to longitudinal strain. It is the property of elasticity of a material.
This means that, if a force is applied in a given direction, say along the axis of the member, then the poison’s ratio is the ratio of the strain in the direction perpendicular to the axis and the strain along the axis.
The poison’s ratio of concrete is 0.1 to 0.2. Let’s take that it as 0.15. If a force is applied on a concrete specimen along its axis, then, for every 1 unit of deformation in the axis, 0.15 unit of deformation happens in the perpendicular direction.
Poison’s ratio is a measure of the elastic property of a material. There isn’t any direct relation between the strength of the material and the poison’s ratio.
Poisson’s ratio is defined as the ratio of the change in the width per unit width of a material, to the change in its length per unit length as a result of strain. Poisson ratio measures the deformation in the material in a direction perpendicular to the direction of the applied force.
Mathematically, poissons ratio is equal to the negative of the ratio of lateral strain and longitudinal strain. Therefore, if the poisson’s ratio is greater than the strength is greater.
Poisson’s ratio is the negative of the ratio of lateral strain to axial strain (Negative because of the decrease in the lateral measurement)
Hence higher the Poisson’s Ratio greater is its ability to withstand the load, hence greater is its strength.