Shear Force Calculator, Formula, Shear Force Calculation

Shear Force Calculator:

Enter the values of average shear stress, t_(N/m2) and cross-sectional area, A_(m2) to determine the value of shear force, F_s(N).

Shear Force Formula:

Shear force, denoted as F_s(N) is a force that acts parallel to the surface of a material. It occurs when a force is applied tangentially or parallel to a surface, resulting in a shearing effect.

Shear force, F_{s(N) ­}in Newton is equated by the product of average shear stress, t_(N/m2) in Newton per square metre and cross-sectional area, A_(m2) in square metre.

Shear force, F_s(N) = t_(N/m2) * A_(m2)

F_s(N) = shear stress in Newton, N.

t_(N/m2) = average shear stress in Newton per square metre or Pascals, N/m² or Pa.

A_(m2) = cross-sectional area in square metre, m².

Shear Force Calculation:

1. A material is subjected to a shear stress of 200 Pa across a surface area of 0.5m². Calculate the shear force.

Given: t_(N/m2) = 200Pa, A_(m2) = 0.5m².

Shear force, F_s(N) = t_(N/m2) * A_(m2)

F_s(N) = 200 * 0.5

F_s(N) = 100N.

2. A shear stress of 100 Pa is applied and acquired shear stress is 300N. Determine the cross-sectional area.

Given: t_(N/m2) = 100Pa, F_s(N) = 300N.

Shear force, F_s(N) = t_(N/m2) * A_(m2)

A_(m2) = F_s(N) / t_(N/m2)

A_(m2) = 300/ 100

A_(m2) = 3m².

shear force calculations