Beam Shear Stress Calculator

✖Total shear force acting on the slice under the consideration.ⓘ Total Shear Force [ΣS]			+10% -10%
✖The First Moment of Area of a shape, about a certain axis, equals the sum over all the infinitesimal parts of the shape of the area of that part times its distance from the axis [Σ(a × d)].ⓘ First Moment of Area [Ay]			+10% -10%
✖Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis.ⓘ Moment of Inertia [I]			+10% -10%
✖The Thickness of Material is the distance through an object.ⓘ Thickness of Material [t]			+10% -10%

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

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Formula

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Beam Shear Stress

Formula

`"𝜏" = ("ΣS"*"Ay")/("I"*"t")`

Example

`"27.42857Pa"=("320N"*"4500mm³")/("3.5kg·m²"*"0.015mm")`

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Beam Shear Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shearing Stress = (Total Shear Force*First Moment of Area)/(Moment of Inertia*Thickness of Material)
𝜏 = (ΣS*Ay)/(I*t)
This formula uses 5 Variables

Variables Used

Shearing Stress - (Measured in Pascal) - The Shearing Stress is a type of stress that acts coplanar with cross section of material.
Total Shear Force - (Measured in Newton) - Total shear force acting on the slice under the consideration.
First Moment of Area - (Measured in Cubic Meter) - The First Moment of Area of a shape, about a certain axis, equals the sum over all the infinitesimal parts of the shape of the area of that part times its distance from the axis [Σ(a × d)].
Moment of Inertia - (Measured in Kilogram Square Meter) - Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis.
Thickness of Material - (Measured in Meter) - The Thickness of Material is the distance through an object.

STEP 1: Convert Input(s) to Base Unit

Total Shear Force: 320 Newton --> 320 Newton No Conversion Required
First Moment of Area: 4500 Cubic Millimeter --> 4.5E-06 Cubic Meter (Check conversion here)
Moment of Inertia: 3.5 Kilogram Square Meter --> 3.5 Kilogram Square Meter No Conversion Required
Thickness of Material: 0.015 Millimeter --> 1.5E-05 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

𝜏 = (ΣS*Ay)/(I*t) --> (320*4.5E-06)/(3.5*1.5E-05)

Evaluating ... ...

𝜏 = 27.4285714285714

STEP 3: Convert Result to Output's Unit

27.4285714285714 Pascal --> No Conversion Required

FINAL ANSWER

27.4285714285714 ≈ 27.42857 Pascal <-- Shearing Stress

(Calculation completed in 00.004 seconds)

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Created by Shareef Alex

velagapudi ramakrishna siddhartha engineering college (vr siddhartha engineering college), vijayawada

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< 16 Stress Calculators

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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

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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

Beam Shear Stress Formula

Shearing Stress = (Total Shear Force*First Moment of Area)/(Moment of Inertia*Thickness of Material)
𝜏 = (ΣS*Ay)/(I*t)

what is beam shear stress ?

The shearing stress in beam is defined as the stress that occurs due to the internal shearing of the beam that results from shear force subjected to the beam.

What is beam stress?

The major stresses induced due to bending are normal stresses of tension and compression. But the state of stress within the beam includes shear stresses due to the shear force in addition to the major normal stresses due to bending although the former are generally of smaller order when compared to the latter.

How to Calculate Beam Shear Stress?

Beam Shear Stress calculator uses Shearing Stress = (Total Shear Force*First Moment of Area)/(Moment of Inertia*Thickness of Material) to calculate the Shearing Stress, The Beam shear stress formula is defined as the shearing stress in beam is defined as the stress that occurs due to the internal shearing of the beam that results from shear force subjected to the beam. Shearing Stress is denoted by 𝜏 symbol.

How to calculate Beam Shear Stress using this online calculator? To use this online calculator for Beam Shear Stress, enter Total Shear Force (ΣS), First Moment of Area (Ay), Moment of Inertia (I) & Thickness of Material (t) and hit the calculate button. Here is how the Beam Shear Stress calculation can be explained with given input values -> 0.027429 = (320*4.5E-06)/(3.5*1.5E-05).

FAQ

What is Beam Shear Stress?

The Beam shear stress formula is defined as the shearing stress in beam is defined as the stress that occurs due to the internal shearing of the beam that results from shear force subjected to the beam and is represented as 𝜏 = (ΣS*Ay)/(I*t) or Shearing Stress = (Total Shear Force*First Moment of Area)/(Moment of Inertia*Thickness of Material). Total shear force acting on the slice under the consideration, The First Moment of Area of a shape, about a certain axis, equals the sum over all the infinitesimal parts of the shape of the area of that part times its distance from the axis [Σ(a × d)], Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis & The Thickness of Material is the distance through an object.

How to calculate Beam Shear Stress?

The Beam shear stress formula is defined as the shearing stress in beam is defined as the stress that occurs due to the internal shearing of the beam that results from shear force subjected to the beam is calculated using Shearing Stress = (Total Shear Force*First Moment of Area)/(Moment of Inertia*Thickness of Material). To calculate Beam Shear Stress, you need Total Shear Force (ΣS), First Moment of Area (Ay), Moment of Inertia (I) & Thickness of Material (t). With our tool, you need to enter the respective value for Total Shear Force, First Moment of Area, Moment of Inertia & Thickness of Material 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 Total Shear Force, First Moment of Area, Moment of Inertia & Thickness of Material. We can use 3 other way(s) to calculate the same, which is/are as follows -

Shearing Stress = Tangential Force/Cross sectional area
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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