Length of Weld given Shear Stress-induced in Plane that is inclined at Angle theta Calculator

✖Load on double transverse fillet weld is the force or the load applied or acting onto the double transverse fillet welded specimen cross-section.ⓘ Load on Double Transverse Fillet Weld [P_d]			+10% -10%
✖Weld Cut Angle is the angle at which the weld is cut with the horizontal.ⓘ Weld Cut Angle [θ]			+10% -10%
✖Shear stress in transverse fillet weld is the force tending to cause deformation of the fillet weld by slippage along a plane or planes parallel to the imposed stress.ⓘ Shear Stress in Transverse Fillet Weld [𝜏]			+10% -10%
✖The Leg of Weld is the distance from the joint root to the toe of the weld.ⓘ Leg of Weld [h_l]			+10% -10%

✖The Length of Weld is the linear distance of the welding segment joined by the welded joint.ⓘ Length of Weld given Shear Stress-induced in Plane that is inclined at Angle theta [L]

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Formula

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Length of Weld given Shear Stress-induced in Plane that is inclined at Angle theta

Formula

`"L" = "P"_{"d"}*sin("θ")*(sin("θ")+cos("θ"))/("𝜏"*"h"_{"l"})`

Example

`"194.9927mm"="26.87kN"*sin("45°")*(sin("45°")+cos("45°"))/("6.5N/mm²"*"21.2mm")`

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Download Transverse Fillet Weld Formulas PDF

Length of Weld given Shear Stress-induced in Plane that is inclined at Angle theta Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Weld = Load on Double Transverse Fillet Weld*sin(Weld Cut Angle)*(sin(Weld Cut Angle)+cos(Weld Cut Angle))/(Shear Stress in Transverse Fillet Weld*Leg of Weld)
L = P_d*sin(θ)*(sin(θ)+cos(θ))/(𝜏*h_l)
This formula uses 2 Functions, 5 Variables

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)
cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

Length of Weld - (Measured in Meter) - The Length of Weld is the linear distance of the welding segment joined by the welded joint.
Load on Double Transverse Fillet Weld - (Measured in Newton) - Load on double transverse fillet weld is the force or the load applied or acting onto the double transverse fillet welded specimen cross-section.
Weld Cut Angle - (Measured in Radian) - Weld Cut Angle is the angle at which the weld is cut with the horizontal.
Shear Stress in Transverse Fillet Weld - (Measured in Pascal) - Shear stress in transverse fillet weld is the force tending to cause deformation of the fillet weld by slippage along a plane or planes parallel to the imposed stress.
Leg of Weld - (Measured in Meter) - The Leg of Weld is the distance from the joint root to the toe of the weld.

STEP 1: Convert Input(s) to Base Unit

Load on Double Transverse Fillet Weld: 26.87 Kilonewton --> 26870 Newton (Check conversion here)
Weld Cut Angle: 45 Degree --> 0.785398163397301 Radian (Check conversion here)
Shear Stress in Transverse Fillet Weld: 6.5 Newton per Square Millimeter --> 6500000 Pascal (Check conversion here)
Leg of Weld: 21.2 Millimeter --> 0.0212 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L = P_d*sin(θ)*(sin(θ)+cos(θ))/(𝜏*h_l) --> 26870*sin(0.785398163397301)*(sin(0.785398163397301)+cos(0.785398163397301))/(6500000*0.0212)

Evaluating ... ...

L = 0.194992743105922

STEP 3: Convert Result to Output's Unit

0.194992743105922 Meter -->194.992743105922 Millimeter (Check conversion here)

FINAL ANSWER

194.992743105922 ≈ 194.9927 Millimeter <-- Length of Weld

(Calculation completed in 00.020 seconds)

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Home » Physics » Design of Machine Elements » Design of Coupling » Welded Joints » Transverse Fillet Weld » Length of Weld given Shear Stress-induced in Plane that is inclined at Angle theta

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Osmania University (OU), Hyderabad

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< 16 Transverse Fillet Weld Calculators

Force Acting given Shear Stress-induced in Plane that is Inclined at angle theta

Go Load on Double Transverse Fillet Weld = (Shear Stress in Transverse Fillet Weld*Leg of Weld*Length of Weld)/(sin(Weld Cut Angle)*(sin(Weld Cut Angle)+cos(Weld Cut Angle)))

Length of Weld given Shear Stress-induced in Plane that is inclined at Angle theta

Go Length of Weld = Load on Double Transverse Fillet Weld*sin(Weld Cut Angle)*(sin(Weld Cut Angle)+cos(Weld Cut Angle))/(Shear Stress in Transverse Fillet Weld*Leg of Weld)

Shear Stress-Induced in Plane that is inclined at Angle theta to Horizontal

Go Shear Stress in Transverse Fillet Weld = Load on Double Transverse Fillet Weld*sin(Weld Cut Angle)*(sin(Weld Cut Angle)+cos(Weld Cut Angle))/(Leg of Weld*Length of Weld)

Leg of Weld given Shear Stress-induced in Plane

Go Leg of Weld = Load on Double Transverse Fillet Weld*sin(Weld Cut Angle)*(sin(Weld Cut Angle)+cos(Weld Cut Angle))/(Shear Stress in Transverse Fillet Weld*Length of Weld)

Thickness of Plate given Tensile Stress in Transverse Fillet Weld

Go Thickness of Transverse Fillet Welded Plate = Load on Transverse Fillet Weld/(Length of Weld*Tensile Stress in Transverse Fillet Weld)

Length of weld given Tensile Stress in Transverse Fillet Weld

Go Length of Weld = Load on Transverse Fillet Weld/(0.707*Leg of Weld*Tensile Stress in Transverse Fillet Weld)

Tensile Stress in Transverse Fillet Weld given Leg of Weld

Go Tensile Stress in Transverse Fillet Weld = Load on Transverse Fillet Weld/(0.707*Leg of Weld*Length of Weld)

Tensile Stress in Transverse Fillet Weld

Go Tensile Stress in Transverse Fillet Weld = Load on Transverse Fillet Weld/(0.707*Leg of Weld*Length of Weld)

Tensile Force on Plates given Tensile Stress in Transverse Fillet Weld

Go Load on Transverse Fillet Weld = Tensile Stress in Transverse Fillet Weld*0.707*Leg of Weld*Length of Weld

Permissible Tensile Strength for Double Transverse Fillet Joint

Go Tensile Stress in Transverse Fillet Weld = Load on Weld/(1.414*Length of Fillet Weld*Length of Weld)

Maximum Shear Stress-induced in Plane that is Inclined at Angle theta

Go Maximum Shear Stress in Transverse Fillet Weld = 1.21*Load on Weld/(Leg of Weld*Length of Weld)

Length of Weld given Maximum Shear Stress-induced in Plane

Go Length of Weld = 1.21*Load on Weld/(Leg of Weld*Maximum Shear Stress in Transverse Fillet Weld)

Maximum Shear Stress-induced given Allowable Load per mm length of Transverse Fillet Weld

Go Maximum Shear Stress in Transverse Fillet Weld = Load per Unit Length in Transverse Fillet Weld/(0.8284*Leg of Weld)

Leg of Weld given Allowable Lod per mm Length of Transverse Fillet Weld

Go Leg of Weld = Load per Unit Length in Transverse Fillet Weld/(0.8284*Maximum Shear Stress in Transverse Fillet Weld)

Leg of Weld given Maximum Shear Stress-induced in Plane

Go Leg of Weld = 1.21*Load per Unit Length in Transverse Fillet Weld/(Maximum Shear Stress in Transverse Fillet Weld)

Allowable Load per mm Length of Transverse Fillet Weld

Go Load per Unit Length in Transverse Fillet Weld = 0.8284*Leg of Weld*Maximum Shear Stress in Transverse Fillet Weld

Length of Weld given Shear Stress-induced in Plane that is inclined at Angle theta Formula

Define Length of Weld?

The leg length is usually designated as the size of the weld. The throat of the weld is the distance from the center of the face to the root of the weld. Typically the depth of the throat should be at least as thick as the thickness of metal you are welding

How to Calculate Length of Weld given Shear Stress-induced in Plane that is inclined at Angle theta?

Length of Weld given Shear Stress-induced in Plane that is inclined at Angle theta calculator uses Length of Weld = Load on Double Transverse Fillet Weld*sin(Weld Cut Angle)*(sin(Weld Cut Angle)+cos(Weld Cut Angle))/(Shear Stress in Transverse Fillet Weld*Leg of Weld) to calculate the Length of Weld, The Length of Weld given Shear Stress-induced in Plane that is inclined at Angle theta formula is defined as the distance from the center of the face to the root of the weld. Length of Weld is denoted by L symbol.

How to calculate Length of Weld given Shear Stress-induced in Plane that is inclined at Angle theta using this online calculator? To use this online calculator for Length of Weld given Shear Stress-induced in Plane that is inclined at Angle theta, enter Load on Double Transverse Fillet Weld (P_d), Weld Cut Angle (θ), Shear Stress in Transverse Fillet Weld (𝜏) & Leg of Weld (h_l) and hit the calculate button. Here is how the Length of Weld given Shear Stress-induced in Plane that is inclined at Angle theta calculation can be explained with given input values -> 19499.27 = 26870*sin(0.785398163397301)*(sin(0.785398163397301)+cos(0.785398163397301))/(6500000*0.0212).

FAQ

What is Length of Weld given Shear Stress-induced in Plane that is inclined at Angle theta?

The Length of Weld given Shear Stress-induced in Plane that is inclined at Angle theta formula is defined as the distance from the center of the face to the root of the weld and is represented as L = P_d*sin(θ)*(sin(θ)+cos(θ))/(𝜏*h_l) or Length of Weld = Load on Double Transverse Fillet Weld*sin(Weld Cut Angle)*(sin(Weld Cut Angle)+cos(Weld Cut Angle))/(Shear Stress in Transverse Fillet Weld*Leg of Weld). Load on double transverse fillet weld is the force or the load applied or acting onto the double transverse fillet welded specimen cross-section, Weld Cut Angle is the angle at which the weld is cut with the horizontal, Shear stress in transverse fillet weld is the force tending to cause deformation of the fillet weld by slippage along a plane or planes parallel to the imposed stress & The Leg of Weld is the distance from the joint root to the toe of the weld.

How to calculate Length of Weld given Shear Stress-induced in Plane that is inclined at Angle theta?

The Length of Weld given Shear Stress-induced in Plane that is inclined at Angle theta formula is defined as the distance from the center of the face to the root of the weld is calculated using Length of Weld = Load on Double Transverse Fillet Weld*sin(Weld Cut Angle)*(sin(Weld Cut Angle)+cos(Weld Cut Angle))/(Shear Stress in Transverse Fillet Weld*Leg of Weld). To calculate Length of Weld given Shear Stress-induced in Plane that is inclined at Angle theta, you need Load on Double Transverse Fillet Weld (P_d), Weld Cut Angle (θ), Shear Stress in Transverse Fillet Weld (𝜏) & Leg of Weld (h_l). With our tool, you need to enter the respective value for Load on Double Transverse Fillet Weld, Weld Cut Angle, Shear Stress in Transverse Fillet Weld & Leg of 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 Length of Weld?

In this formula, Length of Weld uses Load on Double Transverse Fillet Weld, Weld Cut Angle, Shear Stress in Transverse Fillet Weld & Leg of Weld. We can use 2 other way(s) to calculate the same, which is/are as follows -

Length of Weld = Load on Transverse Fillet Weld/(0.707*Leg of Weld*Tensile Stress in Transverse Fillet Weld)
Length of Weld = 1.21*Load on Weld/(Leg of Weld*Maximum Shear Stress in Transverse Fillet Weld)

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