Question

What is the ratio of stress to strain called within the limit of elasticity.

Answer 1

Hint As given in the question stress and strain and we know stress is any force applied to any surface divided by its surface area and strain is deformation or displacement of any material that is displaced due to stress. And we have been asked about the ratio of these.

Complete step by step answer As given in the question we know about stress and strain that stress is ratio of force applied to surface of anybody to the area of the surface and strain is referred to deformation of any material due to the force applied by stress and ratio of stress and strain is called modulus of elasticity or elastic modulus, and modulus of elasticity is a quantity which measures resistance of substance being deformed elastically and we can also say that modulus of elasticity is slope of stress-strain curve. And strain is dimensionless so dimensions of elastic modulus is the same as that of stress. And there are different types of modulus like young’s modulus, shear modulus and bulk modulus and these are like young’s modulus is referred to when object is deformed along the axis on which force is applied and shear modulus is referred to modulus of rigidity and bulk modulus referred to volumetric elastically.

Note Through elastic modulus we can calculate the elastic limit of any particle or we can see how much any substance can be elongated without breaking itself and the ratio of stress and strain is referred to hook’s law and we can calculate stress directly.