Shear Stress Calculator

✖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.ⓘ Tangential Force [P_t]			+10% -10%
✖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.ⓘ Cross sectional area [A_cs]			+10% -10%

✖The Shearing Stress is a type of stress that acts coplanar with cross section of material.ⓘ Shear Stress [𝜏]

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Formula

✖

Shear Stress

Formula

`"𝜏" = "P"_{"t"}/"A"_{"cs"}`

Example

`"18.74906Pa"="0.025N"/"1333.4mm²"`

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Shear Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shearing Stress = Tangential Force/Cross sectional area
𝜏 = P_t/A_cs
This formula uses 3 Variables

Variables Used

Shearing Stress - (Measured in Pascal) - The Shearing Stress is a type of stress that acts coplanar with cross section of material.
Tangential Force - (Measured in Newton) - 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.
Cross sectional area - (Measured in Square Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Tangential Force: 0.025 Newton --> 0.025 Newton No Conversion Required
Cross sectional area: 1333.4 Square Millimeter --> 0.0013334 Square Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

𝜏 = P_t/A_cs --> 0.025/0.0013334

Evaluating ... ...

𝜏 = 18.7490625468727

STEP 3: Convert Result to Output's Unit

18.7490625468727 Pascal --> No Conversion Required

FINAL ANSWER

18.7490625468727 ≈ 18.74906 Pascal <-- Shearing Stress

(Calculation completed in 00.004 seconds)

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Created by Pragati Jaju

College Of Engineering (COEP), Pune

Pragati Jaju has created this Calculator and 50+ more calculators!

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< 16 Stress Calculators

Stress due to Impact Loading

Go Stress due to Loading = Load*(1+sqrt(1+(2*Cross sectional area*Bending Stress*Height at which load falls)/(Load*Length of Weld)))/Cross sectional area

Brinell Hardness Number

Go Brinell Hardness Number = Load/((0.5*pi*Diameter of Ball Indentor)*(Diameter of Ball Indentor-(Diameter of Ball Indentor^2-Diameter of Indentation^2)^0.5))

Thermal Stress in Tapered Bar

Go Thermal Stress = (4*Load*Length of Weld)/(pi*Diameter of Bigger End*Diameter of Smaller End*Bending Stress)

Beam Shear Stress

Go Shearing Stress = (Total Shear Force*First Moment of Area)/(Moment of Inertia*Thickness of Material)

Shearing Stress

Go Shearing Stress = (Shearing Force*First Moment of Area)/(Moment of Inertia*Thickness of Material)

Shear Stress in Double Parallel Fillet Weld

Go Shearing Stress = Load on Double Parallel Fillet Weld/(0.707*Length of Weld*Leg of Weld)

Thermal Stress

Go Thermal Stress = Coefficient of Thermal Expansion*Bending Stress*Change in Temperature

Bending Stress

Go Bending Stress = Bending Moment*Distance from Neutral Axis/Moment of Inertia

Torsional Shear Stress

Go Shearing Stress = (Torque*Radius of Shaft)/Polar Moment of Inertia

Shear Stress of Circular Beam

Go Stress on Body = (4*Shearing Force)/(3*Cross sectional area)

Stress due to Gradual Loading

Go Stress due to Gradual Loading = Force/Cross sectional area

Maximum Shearing Stress

Go Stress on Body = (1.5*Shearing Force)/Cross sectional area

Shear Stress

Go Shearing Stress = Tangential Force/Cross sectional area

Bulk Stress

Go Bulk Stress = Normal Inward Force/Cross sectional area

Direct Stress

Go Direct Stress = Axial Thrust/Cross sectional area

Stress due to Sudden Loading

Go Stress on Body = 2*Force/Cross sectional area

Shear Stress Formula

Shearing Stress = Tangential Force/Cross sectional area
𝜏 = P_t/A_cs

What is Shear Stress?

The Shear stress is tangential force acting per unit area.It is the component of stress coplanar with a material cross section. It arises from the shear force, the component of force vector parallel to the material cross section.

How to Calculate Shear Stress?

Shear Stress calculator uses Shearing Stress = Tangential Force/Cross sectional area to calculate 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 calculate Shear Stress using this online calculator? To use this online calculator for Shear Stress, enter Tangential Force (P_t) & Cross sectional area (A_cs) and hit the calculate button. Here is how the Shear Stress calculation can be explained with given input values -> 18.74906 = 0.025/0.0013334.

FAQ

What is Shear Stress?

The Shear stress is tangential force acting per unit area.It is the component of stress coplanar with a material cross section and is represented as 𝜏 = P_t/A_cs or Shearing Stress = Tangential Force/Cross sectional area. 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 & 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.

How to calculate Shear Stress?

The Shear stress is tangential force acting per unit area.It is the component of stress coplanar with a material cross section is calculated using Shearing Stress = Tangential Force/Cross sectional area. To calculate Shear Stress, you need Tangential Force (P_t) & Cross sectional area (A_cs). With our tool, you need to enter the respective value for Tangential Force & Cross sectional area and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Shearing Stress?

In this formula, Shearing Stress uses Tangential Force & Cross sectional area. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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