Length of Parallel Fillet Weld given Shear Stress and Weld Cut Angle Solution

STEP 0: Pre-Calculation Summary
Formula Used
Length of Weld = Load on Parallel Fillet Weld*(sin(Weld Cut Angle)+cos(Weld Cut Angle))/(Leg of Weld*Shear Stress in Parallel Fillet Weld)
L = Pf*(sin(θ)+cos(θ))/(hl*𝜏)
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 Parallel Fillet Weld - (Measured in Newton) - Load on Parallel Fillet Weld is the force, or the load applied perpendicular to the specimen cross-section.
Weld Cut Angle - (Measured in Radian) - Weld Cut Angle is the angle at which the weld is cut with the horizontal.
Leg of Weld - (Measured in Meter) - The Leg of Weld is the distance from the joint root to the toe of the weld.
Shear Stress in Parallel Fillet Weld - (Measured in Pascal) - Shear stress in parallel 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.
STEP 1: Convert Input(s) to Base Unit
Load on Parallel Fillet Weld: 111080 Newton --> 111080 Newton No Conversion Required
Weld Cut Angle: 45 Degree --> 0.785398163397301 Radian (Check conversion ​here)
Leg of Weld: 21.2 Millimeter --> 0.0212 Meter (Check conversion ​here)
Shear Stress in Parallel Fillet Weld: 38 Newton per Square Millimeter --> 38000000 Pascal (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
L = Pf*(sin(θ)+cos(θ))/(hl*𝜏) --> 111080*(sin(0.785398163397301)+cos(0.785398163397301))/(0.0212*38000000)
Evaluating ... ...
L = 0.194998563193152
STEP 3: Convert Result to Output's Unit
0.194998563193152 Meter -->194.998563193152 Millimeter (Check conversion ​here)
FINAL ANSWER
194.998563193152 194.9986 Millimeter <-- Length of Weld
(Calculation completed in 00.004 seconds)

Credits

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Created by Parul Keshav
National Institute of Technology (NIT), Srinagar
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Osmania University (OU), Hyderabad
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Parallel Fillet Welds Calculators

Shear Stress in Double Parallel Fillet Weld
​ LaTeX ​ Go Shear Stress in Double Parallel Fillet Weld = Load on Double Parallel Fillet Weld/(0.707*Length of Weld*Leg of Weld)
Shear Stress in Parallel Fillet Weld
​ LaTeX ​ Go Shear Stress in Parallel Fillet Weld = Load on Parallel Fillet Weld/(0.707*Length of Weld*Leg of Weld)
Leg of Parallel Fillet Weld given Throat of Weld
​ LaTeX ​ Go Leg of Weld = Throat Thickness of Weld/cos(pi/4)
Throat of Parallel Fillet Weld
​ LaTeX ​ Go Throat Thickness of Weld = Leg of Weld*cos(pi/4)

Length of Parallel Fillet Weld given Shear Stress and Weld Cut Angle Formula

​LaTeX ​Go
Length of Weld = Load on Parallel Fillet Weld*(sin(Weld Cut Angle)+cos(Weld Cut Angle))/(Leg of Weld*Shear Stress in Parallel Fillet Weld)
L = Pf*(sin(θ)+cos(θ))/(hl*𝜏)

What is effective length of weld?

The effective length of a fillet weld is taken equal to the overall length minus twice the weld size. The deduction is made to allow for craters to be formed at the ends of welded length.

How to Calculate Length of Parallel Fillet Weld given Shear Stress and Weld Cut Angle?

Length of Parallel Fillet Weld given Shear Stress and Weld Cut Angle calculator uses Length of Weld = Load on Parallel Fillet Weld*(sin(Weld Cut Angle)+cos(Weld Cut Angle))/(Leg of Weld*Shear Stress in Parallel Fillet Weld) to calculate the Length of Weld, Length of Parallel Fillet Weld given Shear Stress and Weld Cut Angle is the linear distance of each weld segment. It is a method to calculate the effective Length of the Weld required to hold the Weld Joints together when subjected to shear. Length of Weld is denoted by L symbol.

How to calculate Length of Parallel Fillet Weld given Shear Stress and Weld Cut Angle using this online calculator? To use this online calculator for Length of Parallel Fillet Weld given Shear Stress and Weld Cut Angle, enter Load on Parallel Fillet Weld (Pf), Weld Cut Angle (θ), Leg of Weld (hl) & Shear Stress in Parallel Fillet Weld (𝜏) and hit the calculate button. Here is how the Length of Parallel Fillet Weld given Shear Stress and Weld Cut Angle calculation can be explained with given input values -> 194998.6 = 111080*(sin(0.785398163397301)+cos(0.785398163397301))/(0.0212*38000000).

FAQ

What is Length of Parallel Fillet Weld given Shear Stress and Weld Cut Angle?
Length of Parallel Fillet Weld given Shear Stress and Weld Cut Angle is the linear distance of each weld segment. It is a method to calculate the effective Length of the Weld required to hold the Weld Joints together when subjected to shear and is represented as L = Pf*(sin(θ)+cos(θ))/(hl*𝜏) or Length of Weld = Load on Parallel Fillet Weld*(sin(Weld Cut Angle)+cos(Weld Cut Angle))/(Leg of Weld*Shear Stress in Parallel Fillet Weld). Load on Parallel Fillet Weld is the force, or the load applied perpendicular to the specimen cross-section, Weld Cut Angle is the angle at which the weld is cut with the horizontal, The Leg of Weld is the distance from the joint root to the toe of the weld & Shear stress in parallel 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.
How to calculate Length of Parallel Fillet Weld given Shear Stress and Weld Cut Angle?
Length of Parallel Fillet Weld given Shear Stress and Weld Cut Angle is the linear distance of each weld segment. It is a method to calculate the effective Length of the Weld required to hold the Weld Joints together when subjected to shear is calculated using Length of Weld = Load on Parallel Fillet Weld*(sin(Weld Cut Angle)+cos(Weld Cut Angle))/(Leg of Weld*Shear Stress in Parallel Fillet Weld). To calculate Length of Parallel Fillet Weld given Shear Stress and Weld Cut Angle, you need Load on Parallel Fillet Weld (Pf), Weld Cut Angle (θ), Leg of Weld (hl) & Shear Stress in Parallel Fillet Weld (𝜏). With our tool, you need to enter the respective value for Load on Parallel Fillet Weld, Weld Cut Angle, Leg of Weld & Shear Stress in Parallel Fillet 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 Parallel Fillet Weld, Weld Cut Angle, Leg of Weld & Shear Stress in Parallel Fillet Weld. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Length of Weld = Load on Parallel Fillet Weld/(Shear Stress in Parallel Fillet Weld*Leg of Weld*cos(pi/4))
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