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

STEP 0: Pre-Calculation Summary
Formula Used
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)
hl = P*(sin(θ)+cos(θ))/(L*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
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.
Weld Cut Angle - (Measured in Radian) - Weld Cut Angle is the angle at which the weld is cut with the horizontal.
Length of Weld - (Measured in Meter) - The Length of Weld is the linear distance of the welding segment joined by the welded joint.
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)
Length of Weld: 195 Millimeter --> 0.195 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
hl = P*(sin(θ)+cos(θ))/(L*𝜏) --> 111080*(sin(0.785398163397301)+cos(0.785398163397301))/(0.195*38000000)
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)

Credits

Created by Parul Keshav
National Institute of Technology (NIT), Srinagar
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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)

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

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)
hl = P*(sin(θ)+cos(θ))/(L*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 Leg of Parallel Fillet Weld given Shear Stress and Weld Cut Angle?

Leg of Parallel Fillet Weld given Shear Stress and Weld Cut Angle calculator uses 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) to calculate the Leg of Weld, Leg of Parallel Fillet Weld given Shear Stress and Weld Cut Angle 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 and Weld Cut Angle using this online calculator? To use this online calculator for Leg of Parallel Fillet Weld given Shear Stress and Weld Cut Angle, enter Load on Parallel Fillet Weld (P), Weld Cut Angle (θ), Length of Weld (L) & Shear stress in parallel fillet weld (𝜏) and hit the calculate button. Here is how the Leg of Parallel Fillet Weld given Shear Stress and Weld Cut Angle calculation can be explained with given input values -> 21199.84 = 111080*(sin(0.785398163397301)+cos(0.785398163397301))/(0.195*38000000).

FAQ

What is Leg of Parallel Fillet Weld given Shear Stress and Weld Cut Angle?
Leg of Parallel Fillet Weld given Shear Stress and Weld Cut Angle 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 = P*(sin(θ)+cos(θ))/(L*𝜏) or 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). 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 Length of Weld is the linear distance of the welding segment joined by the welded joint & 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 Leg of Parallel Fillet Weld given Shear Stress and Weld Cut Angle?
Leg of Parallel Fillet Weld given Shear Stress and Weld Cut Angle 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*(sin(Weld Cut Angle)+cos(Weld Cut Angle))/(Length of Weld*Shear stress in parallel fillet weld). To calculate Leg of Parallel Fillet Weld given Shear Stress and Weld Cut Angle, you need Load on Parallel Fillet Weld (P), Weld Cut Angle (θ), Length of Weld (L) & 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, Length 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 Leg of Weld?
In this formula, Leg of Weld uses Load on Parallel Fillet Weld, Weld Cut Angle, Length of Weld & Shear stress in parallel fillet 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/(Shear stress in parallel fillet weld*Length of Weld*cos(pi/4))
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