Shear Stress of Circular Beam Calculator

✖The Shearing force are unaligned forces pushing one part of a body in one specific direction, and another part of the body in the opposite direction.ⓘ Shearing Force [V]			+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 Stress on Body is defined as the force per unit area which causes deformation in the body which is measured in terms of strain.ⓘ Shear Stress of Circular Beam [σ₁]

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Formula

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Shear Stress of Circular Beam

Formula

`"σ"_{"1"} = (4*"V")/(3*"A"_{"cs"})`

Example

`"41997.9Pa"=(4*"42N")/(3*"1333.4mm²")`

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Shear Stress of Circular Beam Solution

STEP 0: Pre-Calculation Summary

Formula Used

Stress on Body = (4*Shearing Force)/(3*Cross sectional area)
σ₁ = (4*V)/(3*A_cs)
This formula uses 3 Variables

Variables Used

Stress on Body - (Measured in Pascal) - The Stress on Body is defined as the force per unit area which causes deformation in the body which is measured in terms of strain.
Shearing Force - (Measured in Newton) - The Shearing force are unaligned forces pushing one part of a body in one specific direction, and another part of the body in the opposite direction.
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

Shearing Force: 42 Newton --> 42 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

σ₁ = (4*V)/(3*A_cs) --> (4*42)/(3*0.0013334)

Evaluating ... ...

σ₁ = 41997.9001049948

STEP 3: Convert Result to Output's Unit

41997.9001049948 Pascal --> No Conversion Required

FINAL ANSWER

41997.9001049948 ≈ 41997.9 Pascal <-- Stress on Body

(Calculation completed in 00.004 seconds)

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Created by Pragati Jaju

College Of Engineering (COEP), Pune

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Osmania University (OU), Hyderabad

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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 of Circular Beam Formula

Stress on Body = (4*Shearing Force)/(3*Cross sectional area)
σ₁ = (4*V)/(3*A_cs)

What is shear stress?

When an external force acts on an object, It undergoes deformation. If the direction of the force is parallel to the plane of the object. The deformation will be along that plane. The stress experienced by the object here is shear stress or tangential stress.

How to Calculate Shear Stress of Circular Beam?

Shear Stress of Circular Beam calculator uses Stress on Body = (4*Shearing Force)/(3*Cross sectional area) to calculate the Stress on Body, The Shear Stress of Circular Beam formula is defined as a type of stress that acts coplanar with cross section of circular beam. Stress on Body is denoted by σ₁ symbol.

How to calculate Shear Stress of Circular Beam using this online calculator? To use this online calculator for Shear Stress of Circular Beam, enter Shearing Force (V) & Cross sectional area (A_cs) and hit the calculate button. Here is how the Shear Stress of Circular Beam calculation can be explained with given input values -> 41997.9 = (4*42)/(3*0.0013334).

FAQ

What is Shear Stress of Circular Beam?

The Shear Stress of Circular Beam formula is defined as a type of stress that acts coplanar with cross section of circular beam and is represented as σ₁ = (4*V)/(3*A_cs) or Stress on Body = (4*Shearing Force)/(3*Cross sectional area). The Shearing force are unaligned forces pushing one part of a body in one specific direction, and another part of the body in the opposite direction & 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 of Circular Beam?

The Shear Stress of Circular Beam formula is defined as a type of stress that acts coplanar with cross section of circular beam is calculated using Stress on Body = (4*Shearing Force)/(3*Cross sectional area). To calculate Shear Stress of Circular Beam, you need Shearing Force (V) & Cross sectional area (A_cs). With our tool, you need to enter the respective value for Shearing 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 Stress on Body?

In this formula, Stress on Body uses Shearing Force & Cross sectional area. We can use 2 other way(s) to calculate the same, which is/are as follows -

Stress on Body = (1.5*Shearing Force)/Cross sectional area
Stress on Body = 2*Force/Cross sectional area

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