Leg of Parallel Fillet Weld given Shear Stress Solution

STEP 0: Pre-Calculation Summary
Formula Used
Leg of Weld = Load on Parallel Fillet Weld/(Shear Stress in Parallel Fillet Weld*Length of Weld*cos(pi/4))
hl = Pf/(𝜏*L*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
Leg of Weld - (Measured in Meter) - The Leg of Weld is the distance from the joint root to the toe of the weld.
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.
Length of Weld - (Measured in Meter) - The Length of Weld is the linear distance of the welding segment joined by the welded joint.
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)
Length of Weld: 195 Millimeter --> 0.195 Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
hl = Pf/(𝜏*L*cos(pi/4)) --> 111080/(38000000*0.195*cos(pi/4))
Evaluating ... ...
hl = 0.0211998437933068
STEP 3: Convert Result to Output's Unit
0.0211998437933068 Meter -->21.1998437933068 Millimeter (Check conversion ​here)
FINAL ANSWER
21.1998437933068 21.19984 Millimeter <-- Leg of Weld
(Calculation completed in 00.004 seconds)

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Created by Kumar Siddhant
Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur
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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)

Leg of Parallel Fillet Weld given Shear Stress Formula

​LaTeX ​Go
Leg of Weld = Load on Parallel Fillet Weld/(Shear Stress in Parallel Fillet Weld*Length of Weld*cos(pi/4))
hl = Pf/(𝜏*L*cos(pi/4))

Why do we use Leg of Weld even when its imaginary ?

The Leg of Weld is the lengths of the base of an imaginary right-angled triangle that can be inscribed within the actual weld. It determines the size of the weld and influences the Throat of Weld thus helping in determining the actual strength of the joint. The Leg of Weld is usually equal to the plate thickness.

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

Leg of Parallel Fillet Weld given Shear Stress calculator uses Leg of Weld = Load on Parallel Fillet Weld/(Shear Stress in Parallel Fillet Weld*Length of Weld*cos(pi/4)) to calculate the Leg of Weld, Leg of Parallel Fillet Weld given Shear Stress is a measure of the size of the parallel fillet weld required that can resist yield when subjected to shear under a certain applied load. Leg of Weld is denoted by hl symbol.

How to calculate Leg of Parallel Fillet Weld given Shear Stress using this online calculator? To use this online calculator for Leg of Parallel Fillet Weld given Shear Stress, enter Load on Parallel Fillet Weld (Pf), Shear Stress in Parallel Fillet Weld (𝜏) & Length of Weld (L) and hit the calculate button. Here is how the Leg of Parallel Fillet Weld given Shear Stress calculation can be explained with given input values -> 21199.84 = 111080/(38000000*0.195*cos(pi/4)).

FAQ

What is Leg of Parallel Fillet Weld given Shear Stress?
Leg of Parallel Fillet Weld given Shear Stress is a measure of the size of the parallel fillet weld required that can resist yield when subjected to shear under a certain applied load and is represented as hl = Pf/(𝜏*L*cos(pi/4)) or Leg of Weld = Load on Parallel Fillet Weld/(Shear Stress in Parallel Fillet Weld*Length 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 Length of Weld is the linear distance of the welding segment joined by the welded joint.
How to calculate Leg of Parallel Fillet Weld given Shear Stress?
Leg of Parallel Fillet Weld given Shear Stress is a measure of the size of the parallel fillet weld required that can resist yield when subjected to shear under a certain applied load is calculated using Leg of Weld = Load on Parallel Fillet Weld/(Shear Stress in Parallel Fillet Weld*Length of Weld*cos(pi/4)). To calculate Leg of Parallel Fillet Weld given Shear Stress, you need Load on Parallel Fillet Weld (Pf), Shear Stress in Parallel Fillet Weld (𝜏) & Length of Weld (L). With our tool, you need to enter the respective value for Load on Parallel Fillet Weld, Shear Stress in Parallel Fillet Weld & Length 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 Leg of Weld?
In this formula, Leg of Weld uses Load on Parallel Fillet Weld, Shear Stress in Parallel Fillet Weld & Length of Weld. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Leg of Weld = Throat Thickness of Weld/cos(pi/4)
  • 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)
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