Bending Stress given Resultant Shear Stress in Weld Calculator

✖Resultant shear stress in weld is defined as the resultant stress-induced by two or more forces acting on the welded joint.ⓘ Resultant shear stress in weld [τ]			+10% -10%
✖Primary shear stress in weld is defined as the force tending to cause deformation of the welded joint by slippage along a plane or planes parallel to the imposed stress.ⓘ Primary shear stress in weld [τ₁]			+10% -10%

✖Bending stress in welded joint is the normal stress that is induced at a point in a welded joint subjected to loads that cause it to bend.ⓘ Bending Stress given Resultant Shear Stress in Weld [σ_b]

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Formula

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Bending Stress given Resultant Shear Stress in Weld

Formula

`"σ"_{"b"} = sqrt(2*("τ"^2)-("τ"_{"1"}^2))`

Example

`"95.78622N/mm²"=sqrt(2*(("70N/mm²")^2)-(("25N/mm²")^2))`

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Bending Stress given Resultant Shear Stress in Weld Solution

STEP 0: Pre-Calculation Summary

Formula Used

Bending stress in welded joint = sqrt(2*(Resultant shear stress in weld^2)-(Primary shear stress in weld^2))
σ_b = sqrt(2*(τ^2)-(τ₁^2))
This formula uses 1 Functions, 3 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Bending stress in welded joint - (Measured in Pascal) - Bending stress in welded joint is the normal stress that is induced at a point in a welded joint subjected to loads that cause it to bend.
Resultant shear stress in weld - (Measured in Pascal) - Resultant shear stress in weld is defined as the resultant stress-induced by two or more forces acting on the welded joint.
Primary shear stress in weld - (Measured in Pascal) - Primary shear stress in weld is defined as the force tending to cause deformation of the welded joint by slippage along a plane or planes parallel to the imposed stress.

STEP 1: Convert Input(s) to Base Unit

Resultant shear stress in weld: 70 Newton per Square Millimeter --> 70000000 Pascal (Check conversion here)
Primary shear stress in weld: 25 Newton per Square Millimeter --> 25000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_b = sqrt(2*(τ^2)-(τ₁^2)) --> sqrt(2*(70000000^2)-(25000000^2))

Evaluating ... ...

σ_b = 95786220.3033401

STEP 3: Convert Result to Output's Unit

95786220.3033401 Pascal -->95.7862203033401 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

95.7862203033401 ≈ 95.78622 Newton per Square Millimeter <-- Bending stress in welded joint

(Calculation completed in 00.020 seconds)

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Home » Physics » Design of Machine Elements » Design of Coupling » Welded Joints » Welded Joints Subjected to Bending Moment » Bending Stress given Resultant Shear Stress in Weld

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

Kethavath Srinath has created this Calculator and 1000+ more calculators!

Verified by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< 8 Welded Joints Subjected to Bending Moment Calculators

Distance of Point in Weld from Neutral Axis given Bending Stress in Weld

Go Distance of Point in Weld to Neutral Axis = Moment of Inertia of Weld about Neutral Axis*Bending stress in welded joint/Bending moment in welded joint

Moment of Inertia of all Welds given Bending Moment

Go Moment of Inertia of Weld about Neutral Axis = Bending moment in welded joint*Distance of Point in Weld to Neutral Axis/Bending stress in welded joint

Bending Stress Caused Due to Bending Moment

Go Bending stress in welded joint = Bending moment in welded joint*Distance of Point in Weld to Neutral Axis/Moment of Inertia of Weld about Neutral Axis

Bending Moment given Bending Stress

Go Bending moment in welded joint = Moment of Inertia of Weld about Neutral Axis*Bending stress in welded joint/Distance of Point in Weld to Neutral Axis

Bending Stress given Resultant Shear Stress in Weld

Go Bending stress in welded joint = sqrt(2*(Resultant shear stress in weld^2)-(Primary shear stress in weld^2))

Primary Shear Stress given Resultant Shear Stress

Go Primary shear stress in weld = sqrt((Resultant shear stress in weld^2)-(Bending stress in welded joint^2)/4)

Resultant Shear Stress in Weld

Go Resultant shear stress in weld = sqrt((Bending stress in welded joint^2)/4+(Primary shear stress in weld^2))

Primary Shear Stress-induced due to Eccentric Load

Go Primary shear stress in weld = Eccentric load on weld/Throat Area of Welds

Bending Stress given Resultant Shear Stress in Weld Formula

Bending stress in welded joint = sqrt(2*(Resultant shear stress in weld^2)-(Primary shear stress in weld^2))
σ_b = sqrt(2*(τ^2)-(τ₁^2))

Define Bending Stress?

Bending stress is the normal stress that an object encounters when it is subjected to a large load at a particular point that causes the object to bend and become fatigued.

How to Calculate Bending Stress given Resultant Shear Stress in Weld?

Bending Stress given Resultant Shear Stress in Weld calculator uses Bending stress in welded joint = sqrt(2*(Resultant shear stress in weld^2)-(Primary shear stress in weld^2)) to calculate the Bending stress in welded joint, The Bending Stress given Resultant Shear Stress in Weld formula is defined as the normal stress that an object encounters when it is subjected to a large load at a particular point that causes the object to bend and become fatigued. Bending stress in welded joint is denoted by σ_b symbol.

How to calculate Bending Stress given Resultant Shear Stress in Weld using this online calculator? To use this online calculator for Bending Stress given Resultant Shear Stress in Weld, enter Resultant shear stress in weld (τ) & Primary shear stress in weld (τ₁) and hit the calculate button. Here is how the Bending Stress given Resultant Shear Stress in Weld calculation can be explained with given input values -> 9.6E-5 = sqrt(2*(70000000^2)-(25000000^2)).

FAQ

What is Bending Stress given Resultant Shear Stress in Weld?

The Bending Stress given Resultant Shear Stress in Weld formula is defined as the normal stress that an object encounters when it is subjected to a large load at a particular point that causes the object to bend and become fatigued and is represented as σ_b = sqrt(2*(τ^2)-(τ₁^2)) or Bending stress in welded joint = sqrt(2*(Resultant shear stress in weld^2)-(Primary shear stress in weld^2)). Resultant shear stress in weld is defined as the resultant stress-induced by two or more forces acting on the welded joint & Primary shear stress in weld is defined as the force tending to cause deformation of the welded joint by slippage along a plane or planes parallel to the imposed stress.

How to calculate Bending Stress given Resultant Shear Stress in Weld?

The Bending Stress given Resultant Shear Stress in Weld formula is defined as the normal stress that an object encounters when it is subjected to a large load at a particular point that causes the object to bend and become fatigued is calculated using Bending stress in welded joint = sqrt(2*(Resultant shear stress in weld^2)-(Primary shear stress in weld^2)). To calculate Bending Stress given Resultant Shear Stress in Weld, you need Resultant shear stress in weld (τ) & Primary shear stress in weld (τ₁). With our tool, you need to enter the respective value for Resultant shear stress in weld & Primary shear stress in weld 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 Bending stress in welded joint?

In this formula, Bending stress in welded joint uses Resultant shear stress in weld & Primary shear stress in weld. We can use 1 other way(s) to calculate the same, which is/are as follows -

Bending stress in welded joint = Bending moment in welded joint*Distance of Point in Weld to Neutral Axis/Moment of Inertia of Weld about Neutral Axis

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