Force in Parallel Fillet Weld given Shear Stress Solution

STEP 0: Pre-Calculation Summary
Formula Used
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))
Pf = 𝜏*L*hl/(sin(θ)+cos(θ))
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
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.
Leg of Weld - (Measured in Meter) - The Leg of Weld is the distance from the joint root to the toe of the weld.
Weld Cut Angle - (Measured in Radian) - Weld Cut Angle is the angle at which the weld is cut with the horizontal.
STEP 1: Convert Input(s) to Base Unit
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)
Leg of Weld: 21.2 Millimeter --> 0.0212 Meter (Check conversion ​here)
Weld Cut Angle: 45 Degree --> 0.785398163397301 Radian (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Pf = 𝜏*L*hl/(sin(θ)+cos(θ)) --> 38000000*0.195*0.0212/(sin(0.785398163397301)+cos(0.785398163397301))
Evaluating ... ...
Pf = 111080.818470157
STEP 3: Convert Result to Output's Unit
111080.818470157 Newton --> No Conversion Required
FINAL ANSWER
111080.818470157 111080.8 Newton <-- Load on Parallel Fillet Weld
(Calculation completed in 00.004 seconds)

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National Institute of Technology (NIT), Srinagar
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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)

Force in Parallel Fillet Weld given Shear Stress Formula

​LaTeX ​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))
Pf = 𝜏*L*hl/(sin(θ)+cos(θ))

What is a force? What are its units?

a force is any interaction that, when unopposed, will change the motion of an object. A force can cause an object with mass to change its velocity (which includes to begin moving from a state of rest). Its units are Newton, Dyne m/s2

How to Calculate Force in Parallel Fillet Weld given Shear Stress?

Force in Parallel Fillet Weld given Shear Stress calculator uses 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)) to calculate the Load on Parallel Fillet Weld, Force in Parallel Fillet Weld given Shear Stress is the force or the load acting on the parallel fillet weld. Load on Parallel Fillet Weld is denoted by Pf symbol.

How to calculate Force in Parallel Fillet Weld given Shear Stress using this online calculator? To use this online calculator for Force in Parallel Fillet Weld given Shear Stress, enter Shear Stress in Parallel Fillet Weld (𝜏), Length of Weld (L), Leg of Weld (hl) & Weld Cut Angle (θ) and hit the calculate button. Here is how the Force in Parallel Fillet Weld given Shear Stress calculation can be explained with given input values -> 111080.8 = 38000000*0.195*0.0212/(sin(0.785398163397301)+cos(0.785398163397301)).

FAQ

What is Force in Parallel Fillet Weld given Shear Stress?
Force in Parallel Fillet Weld given Shear Stress is the force or the load acting on the parallel fillet weld and is represented as Pf = 𝜏*L*hl/(sin(θ)+cos(θ)) or 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)). 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, The Leg of Weld is the distance from the joint root to the toe of the weld & Weld Cut Angle is the angle at which the weld is cut with the horizontal.
How to calculate Force in Parallel Fillet Weld given Shear Stress?
Force in Parallel Fillet Weld given Shear Stress is the force or the load acting on the parallel fillet weld is calculated using 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)). To calculate Force in Parallel Fillet Weld given Shear Stress, you need Shear Stress in Parallel Fillet Weld (𝜏), Length of Weld (L), Leg of Weld (hl) & Weld Cut Angle (θ). With our tool, you need to enter the respective value for Shear Stress in Parallel Fillet Weld, Length of Weld, Leg of Weld & Weld Cut Angle 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 Load on Parallel Fillet Weld?
In this formula, Load on Parallel Fillet Weld uses Shear Stress in Parallel Fillet Weld, Length of Weld, Leg of Weld & Weld Cut Angle. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Load on Parallel Fillet Weld = Shear Stress in Parallel Fillet Weld*Length of Weld*Leg of Weld*0.707
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