explain about strain and the types of strain breifly
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STRAIN- Normal stress on a body causes change in length or volume and tangential stress produces change in shape of the body. The ratio of change produced in the dimensions of a body by a system of forces or couples, in equilibrium, to its original dimensions is called strain.
StrainStrain = Change in DimensionOriginal DimensionChange in DimensionOriginal Dimension
Types of Strain
Strain is of three types depending upon the change produced in a body and the stress applied. The three types of strain are
Longitudinal Strain
Volume Strain and
Shearing Strain
1. Longitudinal Strain : It is the ratio of the change in length of a body to the original length of the body. If LL is the original length of a wire or a rod and the final length of the wire or the rod is L+ΔLL+ΔL under the action of a normal stress, the change in length is ΔLΔL.
Longitudinal StrainLongitudinal Strain = Change in lengthOriginal lengthChange in lengthOriginal length = ΔLL
2. Volume Strain : It is the ratio of the change in volume of a body to its original volume. If VV is the original volume of a body and V+ΔVV+ΔV is the volume of the body under the action of a normal stress, the change in volume is ΔVΔV.
Volume StrainVolume Strain = Change in volumeOriginal volumeChange in volumeOriginal volume = ΔVVΔVV.
3. Shearing Strain : If is the angle through which a face originally perpendicular to the fixed face is turned. (or) It is the ratio of the displacement of a layer to its distance from the fixed layer.
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StrainStrain = Change in DimensionOriginal DimensionChange in DimensionOriginal Dimension
Types of Strain
Strain is of three types depending upon the change produced in a body and the stress applied. The three types of strain are
Longitudinal Strain
Volume Strain and
Shearing Strain
1. Longitudinal Strain : It is the ratio of the change in length of a body to the original length of the body. If LL is the original length of a wire or a rod and the final length of the wire or the rod is L+ΔLL+ΔL under the action of a normal stress, the change in length is ΔLΔL.
Longitudinal StrainLongitudinal Strain = Change in lengthOriginal lengthChange in lengthOriginal length = ΔLL
2. Volume Strain : It is the ratio of the change in volume of a body to its original volume. If VV is the original volume of a body and V+ΔVV+ΔV is the volume of the body under the action of a normal stress, the change in volume is ΔVΔV.
Volume StrainVolume Strain = Change in volumeOriginal volumeChange in volumeOriginal volume = ΔVVΔVV.
3. Shearing Strain : If is the angle through which a face originally perpendicular to the fixed face is turned. (or) It is the ratio of the displacement of a layer to its distance from the fixed layer.
I HOPE THIS ANSWER WILL SURELY HELP U A LOT:-)
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★ STRAIN:-
The ratio of the change in dimension of the body to its original dimension is called strain.
Strain = Change in dimension/Original dimension
★ THE TYPE OF STRAIN:-
There are 3 types of strain, they are:-
→ Longitudinal strain
→ Volumetric strain
→ Shear strain
• Longitudinal strain:- It is defined as the change in length per unit original length, when the body is deformed by external forces.
• Volumetric strain:- It is defined as the change in volume per unit original volume when the body is deformed by external forces.
• Shear strain:- It is defined as the ratio of displacement of a surface (s) on which stress is acting to the height (h) of the surface.
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