how to calculate the shear strain?

Question

when calculating Tensile Strain or Compressive Strain, we use this equation: Strain=dL/L, where dL is the change in length, and L is the original Length, or by the the young's Modulus and the Tensile/Compressive Stress, how can I calculate the shear strain? It won't be dL/L, because the force here is applied to a tangential Area, and a deformation occurs. Please help

Answer 1

Shear strain = dL/W, where dL is displacement of a shear plane relative to the plane distance W away.

Answer 2

Shear Strain Formula

Answer 3

Shear Strain Equation

Answer 4

Consider the deformation of a plane rectangular shaped solid where the forces acting on it are known to be shear stresses along the top and bottom faces, with no loads on the end faces.
there will then be a distortion of the original rectangular element so that the corners no longer form right angles.....OK?

Now here is the crux.....The CHANGE in the angle of the corner of the rectangular element = "shear strain", and it is expressed as a radian measure.

The ratio of shear stress to shear strain is called the "modulus of elasticity in shear"', and is denoted by G, where G= shear stress/ shear strain = lb/sq. in.
G is also sometimes called the "modulus of rigidity"

If the shear stress in a piece of steel is 100 MPa,nd if the modulus of rigidity = G = 85 GPa, find the shearing strain.

G = shear stress/shear strain , shear strain = Shear stress/G = (100 x 10^6)/(85 x 10^9) = 0.00117 radians.

Answer 5

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how to calculate the shear strain?
when calculating Tensile Strain or Compressive Strain, we use this equation: Strain=dL/L, where dL is the change in length, and L is the original Length, or by the the young's Modulus and the Tensile/Compressive Stress, how can I calculate the shear strain? It won't be dL/L, because the...

Answer 6

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shear stress: τ = T r / J for solid rod τ = 16 T / (πd³) modulus of rigidity for structural steel: G = 89 GPa angle of twist: φ = T ℓ / (GJ) polar moment of inertia for solid rod: J = π^4 / 32 to calculate G; measure rod length and use angle of twist equation above. G = T ℓ / Jφ hope this helps!

Answer 7

for your information strain does not have any units.