# Shear Properties Of Materials; Shear Stress-Strain

There can be stresses on materials and the strength of materials must be defined according to these stress values. So there are strong values are defined for materials that are generally used in engineering calculations. Two of them; tensile stress-straincompression stress-strain characteristics of materials are explained in Mechanicalland. In this article, we will explain the third one called Shear Properties and Shear characteristics of materials.

Fundamentals of Modern Manufacturing: Materials, Processes and Systems, Seventh Edition

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## What Is The Shear Property Of A Material?

Shear stress can be illustrated as above that there are opposite-sided forces that act on stress elements from above and below. This stress causes deformation as shown above called torsion.

Formula of shear stress;

T = Shear stress(MPa)(lb/in^2)

F = Opposite force value(N)(lb)

A = Area(mm^2)(in^2)

Also we have a shear strain value as;

γ= Shear strain(mm/mm)(in/in)

δ= Deflection on element(mm)(in)

b = Orthogonal distance to deflection zone(mm)(in)

As other test methods, shear stress-strain also has an stress test called Torsion Test.

In the torsion test, a torque is applied to the specimen. A shear stress-strain curve is obtained with this test.

If we take a look at the shear stress-strain curve above, there is an elastic region as in tensile stress-strain curves. After the yield point shear stress, plastic deformation occurs. The plastic region represents the plastic deformation of material used as a specimen in Torsion tests.

Formula that derived from Torsion tests;

τ= Shear stress at the specimen(MPa)(lb/in^2)

T = Applied torque(N.mm)(lb.in)

R = Radius of the specimen(mm)(in)

t = Thickness of the specimen(mm)

The shear strength can be obtained from these standardized tests. Shear strength is generally lesser than tensile stresses of materials.

This is the general logic of shear stress-strain characteristics of materials in engineering.