All matters are elastic to some degree and can be deformated.
A body of matter can be deformated by the application of external forces.
The elastic properties of solid are describe in terms of stress and strain.
Stress:is a quantity is proportional to the force which causes the deformation.
Stress is the applied force per-unit area.
SI unit:N/m.
Stress depends on the direction of the forces.
Change in shape: Shear Modulus(S)
A change is shape results without a change in volume.
Here we can conclude change in shape of an object by pushing its top and bottom surfaces in opposite direction.
SM-is a measure of the deformartion which occur when a force is applied along a direction.
Change in Length(1D):Young Modulus(Y)
YM-is a measure of the resistance of a solid to a change in its length.
E.g:Tensile stress&tensile strain.
YM-is the ratio of tensile stress to tensile starin.
Y=tensile stress/tensile strain.
Shear Stress is the force per unit area exerted on the top and bottom of solid.
Shear strain is the distance the top surface has move relative to the botton surface.
Shear mudulus is the ratio of the shear stress to the shear strain.
s=shear stress/shear strain
where:
F is the applied force.
A is the area.
X is the distance the top and bottom surface.
H is the perpendicular distance between the top and bottom surface.