Shear Strain

If the faces AB and AC are two adjacent faces and perpendicular to each other, and along with that they are also perpendicular to the x axis and y axis. Just after deformation the AB sides take place of A’B’ and AC side takes place of A’C’. Now, the angle formed by B’A’C’ is not perpendicular or 90˚.  It means shear strain can be defined as the angle less than 90 degree. Thus, Y_xy = 90° – θ. This is the angle subtracted from 90 degree and this is the value of shear strain.

Now, if you consider this in a different way, suppose the displacement takes place from B to B’ in the x direction and C to C’ in y direction, then

The value of shear strain can be provided as Y_{xy =}     90⁰ – θ

= (a₁ + a₂)

Now, you can easily distinguish between the different conditions to find out the shear Strain.

Links of Previous Main Topic:-

• Rectilinear motion in kinetics of particles
• Work and energy
• Linear momentum
• Force mass acceleration
• Simple stress introduction
• Normal strain
• Stress strain diagram ductile material mild steel
• Axial deformation
• Deformation of a bar due to stress developed
• Poissons ratio
• Shear strain

Links of Next Mechanical Engineering Topics:-

• Shear stress
• Volumetric strain
• Principle of super position
• Simple strain some definitions
• Working stress and factor of safety
• Statically indeterminate system
• Introduction to thermodynamics
• Statement of zeroth law of thermodynamics with explanation
• Heat and work introduction