Young's modulus
rain is defined as extension per unit length.Strain = extension / original lengthwhere,ε = strain,lo = the original lengthe = extension = (l-lo), andl = stretched lengthStrain has no units because it is a ratio of lengths.We can use the above definitions of stress and strain for forces causing tension or compression.If we apply tensile force we have tensile stressand tensile strainIf we apply compressive force we have compressive stress and compressive strain.
Strain is dimensionless quantity because strain is the ratio of the same quantities like change in length/original length,,change in volume/original volume. e.g tensile strain=(change in length)/(original length)=m/m (S.I unit) so its a dimensionless quantity.
modulus of elasticity, E, relates tension stress, s, to strain,e (s = Ee) modulus of rigidity, G, relates shear stress, t, to angular strain, g (t = Gg) modulus of rigidity G is related to E as G = E/2(1+u) whree u = poisson ratio
Just as the modulus of elasticity , E, relates tensile stress to tensile strain, the modulus of rigidity, G, relates shear stress to shear strain. The modulus of rigidity, G, is, for isotropic materials, related to E as G = E/ (2(1+u)) where u = poisson ratio which varies from 0 to 0.5 and is usually 0.25-0.33 for many metals. tensile stress = Ee e = tensile strain shear stress = Gk k = shear strain
contrast ratio
is defined as ratio of uniform stress to volume strain
stress is directly proportional to strain up to the proportional limit. Their ratio is young's modulus.
It is the ratio of shear stress to shear strain.
shearing stress to shearing strain
The ratio of lateral strain to the longitudinal strain is called as poissions ratio
Tensile modulus is the ratio of tensile stress to tensile strain.
Type your answer stress; the force applied perunit surface area of the body that produce or tends to produce deformation in a body is called stress if a force F to a area A of a body then stress=force/area or o=f/a where o (stigma) denotes stress.obviously, the SI unit of stree is newton pper square meter(Nm-2). strain; the fractonal deformation resulting from astree is called strain
It is defined as the ratio of the uniaxial stress over the uniaxial strain in the range of stress in which Hooke's Law holds
This is known as the Modulus of Elastisity, or Youngs Modulus (in tension/compression) and will be a constant as long as the deformation is in the elastic range.
A Force applied to an object will cause a displacement. Strain is effectively a measure of this displacement (change in length divided by original length). Stress is the Force applied divided by the area it is applied to. (eg. pounds per square inch) So, to answer the question, it is the applied Force that produces both stress and strain. Stress and strain are linked together by various material properties such as Poisson's ratio and Young's Modulus.
Stress is the tension/compression force per unit area.Strain is the ratio of change of length to the original length, due to applied force.Tension is the applied force which tends to elongate the body.
y(young's modulus of rigidity)=stress/strain now strain is dimensionless hence y=stress y=M L-1 T-2