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Beam Shear Stress Calculator

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✖Total Shear Force is the total 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%

✖Beam Shear Stress is the stress that occurs within a beam due to forces acting parallel to its cross-section.ⓘ Beam Shear Stress [ζ_b]

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Beam Shear Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Beam Shear Stress - (Measured in Pascal) - Beam Shear Stress is the stress that occurs within a beam due to forces acting parallel to its cross-section.
Total Shear Force - (Measured in Newton) - Total Shear Force is the total 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

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

Evaluating ... ...

ζ_b = 27.4285714285714

STEP 3: Convert Result to Output's Unit

27.4285714285714 Pascal --> No Conversion Required

FINAL ANSWER

27.4285714285714 ≈ 27.42857 Pascal <-- Beam Shear Stress

(Calculation completed in 00.020 seconds)

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Created by Shareef Alex

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

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< Stress Calculators

Beam Shear Stress

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

Bending Stress

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

Bulk Stress

Go Bulk Stress = Normal Inward Force/Cross Sectional Area

Direct Stress

Go Direct Stress = Axial Thrust/Cross Sectional Area

Beam Shear Stress Formula

Beam Shear Stress = (Total Shear Force*First Moment of Area)/(Moment of Inertia*Thickness of Material)
ζ_b = (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 Beam Shear Stress = (Total Shear Force*First Moment of Area)/(Moment of Inertia*Thickness of Material) to calculate the 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. Beam Shear Stress is denoted by ζ_b 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 -> 27.42857 = (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 ζ_b = (ΣS*Ay)/(I*t) or Beam Shear Stress = (Total Shear Force*First Moment of Area)/(Moment of Inertia*Thickness of Material). Total Shear Force is the total 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 Beam Shear 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.

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