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Shear Stress Formula

GoBeam Shear Stress Formula

GoShearing Stress Formula

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The Shearing Stress is a type of stress that acts coplanar with cross section of material. Check FAQs

𝜏 = \frac{P t}{A cs}

𝜏 - Shearing Stress?P_t - Tangential Force?A_cs - Cross Sectional Area?

Shear Stress Example

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With units

Only example

Here is how the Shear Stress equation looks like with Values.

Here is how the Shear Stress equation looks like with Units.

Here is how the Shear Stress equation looks like.

18.7491 = \frac{0.025}{1333.4}

18.7491Pa = \frac{0.025N}{1333.4mm²}

18.7491 = \frac{0.025}{1333.4}

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Shear Stress Solution

Follow our step by step solution on how to calculate Shear Stress?

FIRST Step Consider the formula

𝜏 = \frac{P t}{A cs}

Next Step Substitute values of Variables

∴

𝜏 = \frac{0.025N}{1333.4mm²}

Next Step Convert Units

∴

𝜏 = \frac{0.025N}{0.0013m²}

Next Step Prepare to Evaluate

∴

𝜏 = \frac{0.025}{0.0013}

Next Step Evaluate

∴

𝜏 = 18.7490625468727Pa

LAST Step Rounding Answer

∴

𝜏 = 18.7491Pa

Shear Stress Formula Elements

Variables

Shearing Stress

The Shearing Stress is a type of stress that acts coplanar with cross section of material.

Symbol: 𝜏

Measurement: StressUnit: Pa

Note: Value can be positive or negative.

Formulas to find Shearing Stress

Tangential Force

The Tangential force is the force that acts on a moving body in the direction of a tangent to the curved path of the body.

Symbol: P_t

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Tangential Force

Cross Sectional Area

Cross sectional area is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point.

Symbol: A_cs

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Cross Sectional Area

Other Formulas to find Shearing Stress

Go Beam Shear Stress

𝜏 = \frac{ΣS \cdot Ay}{I \cdot t}

Go Shearing Stress

𝜏 = \frac{V \cdot Ay}{I \cdot t}

Go Torsional Shear Stress

𝜏 = \frac{τ \cdot r shaft}{J}

Go Shear Stress in Double Parallel Fillet Weld

𝜏 = \frac{P dp}{0.707 \cdot L \cdot h l}

Other formulas in Stress category

Go Bending Stress

σ b = M b \cdot \frac{y}{I}

Go Bulk Stress

B stress = \frac{N.F}{A cs}

Go Direct Stress

σ = \frac{P axial}{A cs}

Go Maximum Shearing Stress

σ 1 = \frac{1.5 \cdot V}{A cs}

How to Evaluate Shear Stress?

Shear Stress evaluator uses Shearing Stress = Tangential Force/Cross Sectional Area to evaluate the Shearing Stress, The Shear stress is tangential force acting per unit area.It is the component of stress coplanar with a material cross section. Shearing Stress is denoted by 𝜏 symbol.

How to evaluate Shear Stress using this online evaluator? To use this online evaluator for Shear Stress, enter Tangential Force (P_t) & Cross Sectional Area (A_cs) and hit the calculate button.

FAQs on Shear Stress

What is the formula to find Shear Stress?

The formula of Shear Stress is expressed as Shearing Stress = Tangential Force/Cross Sectional Area. Here is an example- 18.74906 = 0.025/0.0013334.

How to calculate Shear Stress?

With Tangential Force (P_t) & Cross Sectional Area (A_cs) we can find Shear Stress using the formula - Shearing Stress = Tangential Force/Cross Sectional Area.

What are the other ways to Calculate Shearing Stress?

Here are the different ways to Calculate Shearing Stress-

Shearing Stress=(Total Shear Force*First Moment of Area)/(Moment of Inertia*Thickness of Material)
Shearing Stress=(Shearing Force*First Moment of Area)/(Moment of Inertia*Thickness of Material)
Shearing Stress=(Torque*Radius of Shaft)/Polar Moment of Inertia

Can the Shear Stress be negative?

Yes, the Shear Stress, measured in Stress can be negative.

Which unit is used to measure Shear Stress?

Shear Stress is usually measured using the Pascal[Pa] for Stress. Newton per Square Meter[Pa], Newton per Square Millimeter[Pa], Kilonewton per Square Meter[Pa] are the few other units in which Shear Stress can be measured.

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