Length of Parallel Fillet Weld given Shear Stress Solution

STEP 0: Pre-Calculation Summary
Formula Used
Length of Weld = Load on Parallel Fillet Weld/(Shear stress in parallel fillet weld*Leg of Weld*cos(pi/4))
L = P/(𝜏*hl*cos(pi/4))
This formula uses 1 Constants, 1 Functions, 4 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
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.
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.
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 Parallel Fillet Weld: 111080 Newton --> 111080 Newton No Conversion Required
Shear stress in parallel fillet weld: 38 Newton per Square Millimeter --> 38000000 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/(𝜏*hl*cos(pi/4)) --> 111080/(38000000*0.0212*cos(pi/4))
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

Created by Kumar Siddhant
Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur
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Osmania University (OU), Hyderabad
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15 Parallel Fillet Welds Calculators

Length of Parallel Fillet Weld given Shear Stress and Weld Cut Angle
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)
Leg of Parallel Fillet Weld given Shear Stress and Weld Cut Angle
Go Leg of Weld = Load on Parallel Fillet Weld*(sin(Weld Cut Angle)+cos(Weld Cut Angle))/(Length of Weld*Shear stress in parallel fillet weld)
Shear Stress in Parallel Fillet Weld given Load
Go Shear stress in parallel fillet weld = Load on Parallel Fillet Weld*(sin(Weld Cut Angle)+cos(Weld Cut Angle))/(Length of Weld*Leg of Weld)
Force in Parallel Fillet Weld given Shear Stress
Go Load on Parallel Fillet Weld = Shear stress in parallel fillet weld*Length of Weld*Leg of Weld/(sin(Weld Cut Angle)+cos(Weld Cut Angle))
Length of Parallel Fillet Weld given Shear Stress
Go Length of Weld = Load on Parallel Fillet Weld/(Shear stress in parallel fillet weld*Leg of Weld*cos(pi/4))
Leg of Parallel Fillet Weld given Shear Stress
Go Leg of Weld = Load on Parallel Fillet Weld/(Shear stress in parallel fillet weld*Length of Weld*cos(pi/4))
Shear Stress Parallel Fillet Weld
Go Shear stress in parallel fillet weld = Load on Parallel Fillet Weld/(Length of Weld*Leg of Weld*cos(pi/4))
Width of Plane in Double Parallel Fillet Weld
Go Plane Width in Double Parallel Fillet Weld = Leg of Weld/(sin(Weld Cut Angle)+cos(Weld Cut Angle))
Maximum Shear Stress in Parallel Fillet Weld given Load
Go Shear stress in parallel fillet weld = Load on Parallel Fillet Weld/(0.707*Length of Weld*Leg of Weld)
Shear Stress in Parallel Fillet Weld
Go Shear stress in parallel fillet weld = Load on Parallel Fillet Weld/(0.707*Length of Weld*Leg of Weld)
Tensile Force on Parallel Fillet Weld Plate given Shear Stress
Go Load on Parallel Fillet Weld = Shear stress in parallel fillet weld*Length of Weld*Leg of Weld*0.707
Shear Stress in Double Parallel Fillet Weld
Go Shearing Stress = Load on Double Parallel Fillet Weld/(0.707*Length of Weld*Leg of Weld)
Allowable Load in Parallel Fillet Weld per Unit Length
Go Allowable Load per unit Length of Weld = 0.707*Shear stress in parallel fillet weld*Leg of Weld
Leg of Parallel Fillet Weld given Throat of Weld
Go Leg of Weld = Throat Thickness of Weld/cos(pi/4)
Throat of Parallel Fillet Weld
Go Throat Thickness of Weld = Leg of Weld*cos(pi/4)

Length of Parallel Fillet Weld given Shear Stress Formula

Length of Weld = Load on Parallel Fillet Weld/(Shear stress in parallel fillet weld*Leg of Weld*cos(pi/4))
L = P/(𝜏*hl*cos(pi/4))

Multi Fillet Welds

The Welded Joints are weaker in Shear when compared to in Tension. So Effective Length of Weld required in shear is more. This is tackled by welding at multiple edges of the plates, thus increasing the net Effective Length of the weld without increasing the buffer zone of Base Plates.

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

Length of Parallel Fillet Weld given Shear Stress calculator uses Length of Weld = Load on Parallel Fillet Weld/(Shear stress in parallel fillet weld*Leg of Weld*cos(pi/4)) to calculate the Length of Weld, Length of Parallel Fillet Weld given Shear Stress 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 using this online calculator? To use this online calculator for Length of Parallel Fillet Weld given Shear Stress, enter Load on Parallel Fillet Weld (P), Shear stress in parallel fillet weld (𝜏) & Leg of Weld (hl) and hit the calculate button. Here is how the Length of Parallel Fillet Weld given Shear Stress calculation can be explained with given input values -> 194998.6 = 111080/(38000000*0.0212*cos(pi/4)).

FAQ

What is Length of Parallel Fillet Weld given Shear Stress?
Length of Parallel Fillet Weld given Shear Stress 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 = P/(𝜏*hl*cos(pi/4)) or Length of Weld = Load on Parallel Fillet Weld/(Shear stress in parallel fillet weld*Leg of Weld*cos(pi/4)). Load on parallel fillet weld is the force or the load applied perpendicular to the specimen cross-section, 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 & The Leg of Weld is the distance from the joint root to the toe of the weld.
How to calculate Length of Parallel Fillet Weld given Shear Stress?
Length of Parallel Fillet Weld given Shear Stress 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/(Shear stress in parallel fillet weld*Leg of Weld*cos(pi/4)). To calculate Length of Parallel Fillet Weld given Shear Stress, you need Load on Parallel Fillet Weld (P), Shear stress in parallel fillet weld (𝜏) & Leg of Weld (hl). With our tool, you need to enter the respective value for Load on Parallel Fillet Weld, Shear stress in parallel 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 Parallel Fillet Weld, Shear stress in parallel fillet weld & Leg of 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*(sin(Weld Cut Angle)+cos(Weld Cut Angle))/(Leg of Weld*Shear stress in parallel fillet weld)
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