Primary Shear Stress-induced due to Eccentric Load Calculator

✖Eccentric load on weld is the load applied to the welded specimen cross section such that it tends to cause a bending moment in the weld.ⓘ Eccentric load on weld [W]			+10% -10%
✖The Throat Area of Welds is the area of the throat of a weld (the shortest distance from the root to the face of the weld).ⓘ Throat Area of Welds [A]			+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-induced due to Eccentric Load [τ₁]

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Formula

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Primary Shear Stress-induced due to Eccentric Load

Formula

`"τ"_{"1"} = "W"/"A"`

Example

`"25N/mm²"="3550N"/"142mm²"`

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Primary Shear Stress-induced due to Eccentric Load Solution

STEP 0: Pre-Calculation Summary

Formula Used

Primary shear stress in weld = Eccentric load on weld/Throat Area of Welds
τ₁ = W/A
This formula uses 3 Variables

Variables Used

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.
Eccentric load on weld - (Measured in Newton) - Eccentric load on weld is the load applied to the welded specimen cross section such that it tends to cause a bending moment in the weld.
Throat Area of Welds - (Measured in Square Meter) - The Throat Area of Welds is the area of the throat of a weld (the shortest distance from the root to the face of the weld).

STEP 1: Convert Input(s) to Base Unit

Eccentric load on weld: 3550 Newton --> 3550 Newton No Conversion Required
Throat Area of Welds: 142 Square Millimeter --> 0.000142 Square Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

τ₁ = W/A --> 3550/0.000142

Evaluating ... ...

τ₁ = 25000000

STEP 3: Convert Result to Output's Unit

25000000 Pascal -->25 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

25 Newton per Square Millimeter <-- Primary shear stress in weld

(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 » Primary Shear Stress-induced due to Eccentric Load

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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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

Primary Shear Stress-induced due to Eccentric Load Formula

Primary shear stress in weld = Eccentric load on weld/Throat Area of Welds
τ₁ = W/A

Define Shear Stess?

Shear stress, force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress. The resultant shear is of great importance in nature, being intimately related to the downslope movement of earth materials and to earthquakes.

How to Calculate Primary Shear Stress-induced due to Eccentric Load?

Primary Shear Stress-induced due to Eccentric Load calculator uses Primary shear stress in weld = Eccentric load on weld/Throat Area of Welds to calculate the Primary shear stress in weld, The Primary Shear Stress-induced due to Eccentric Load formula is defined as the force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress. Primary shear stress in weld is denoted by τ₁ symbol.

How to calculate Primary Shear Stress-induced due to Eccentric Load using this online calculator? To use this online calculator for Primary Shear Stress-induced due to Eccentric Load, enter Eccentric load on weld (W) & Throat Area of Welds (A) and hit the calculate button. Here is how the Primary Shear Stress-induced due to Eccentric Load calculation can be explained with given input values -> 2.5E-5 = 3550/0.000142.

FAQ

What is Primary Shear Stress-induced due to Eccentric Load?

The Primary Shear Stress-induced due to Eccentric Load formula is defined as the force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress and is represented as τ₁ = W/A or Primary shear stress in weld = Eccentric load on weld/Throat Area of Welds. Eccentric load on weld is the load applied to the welded specimen cross section such that it tends to cause a bending moment in the weld & The Throat Area of Welds is the area of the throat of a weld (the shortest distance from the root to the face of the weld).

How to calculate Primary Shear Stress-induced due to Eccentric Load?

The Primary Shear Stress-induced due to Eccentric Load formula is defined as the force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress is calculated using Primary shear stress in weld = Eccentric load on weld/Throat Area of Welds. To calculate Primary Shear Stress-induced due to Eccentric Load, you need Eccentric load on weld (W) & Throat Area of Welds (A). With our tool, you need to enter the respective value for Eccentric load on weld & Throat Area of Welds 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 Primary shear stress in weld?

In this formula, Primary shear stress in weld uses Eccentric load on weld & Throat Area of Welds. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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