Shear Stress Parallel Fillet Weld Solution

STEP 0: Pre-Calculation Summary
Formula Used
Shear Stress in Parallel Fillet Weld = Load on Parallel Fillet Weld/(Length of Weld*Leg of Weld*cos(pi/4))
𝜏 = Pf/(L*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
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.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Load on Parallel Fillet Weld: 111080 Newton --> 111080 Newton No Conversion Required
Length of Weld: 195 Millimeter --> 0.195 Meter (Check conversion ​here)
Leg of Weld: 21.2 Millimeter --> 0.0212 Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
𝜏 = Pf/(L*hl*cos(pi/4)) --> 111080/(0.195*0.0212*cos(pi/4))
Evaluating ... ...
𝜏 = 37999720.0068707
STEP 3: Convert Result to Output's Unit
37999720.0068707 Pascal -->37.9997200068707 Newton per Square Millimeter (Check conversion ​here)
FINAL ANSWER
37.9997200068707 37.99972 Newton per Square Millimeter <-- Shear Stress in Parallel Fillet 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)

Shear Stress Parallel Fillet Weld Formula

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

Failure due to Shear in Fillet Weld

Failure of the Fillet Weld occurs due to shear along the minimum cross-section of Weld at the throat. For parallel fillet weld, the inclination of the Principal Shear (Plane plane where maximum shear stress is induced) is 45° to the leg direction.

How to Calculate Shear Stress Parallel Fillet Weld?

Shear Stress Parallel Fillet Weld calculator uses Shear Stress in Parallel Fillet Weld = Load on Parallel Fillet Weld/(Length of Weld*Leg of Weld*cos(pi/4)) to calculate the Shear Stress in Parallel Fillet Weld, Shear Stress Parallel Fillet Weld is the strength of a material or component against the type of yield or structural failure when the material or component fails in shear. It is the stress in the parallel fillet weld subjected to shear. Shear Stress in Parallel Fillet Weld is denoted by 𝜏 symbol.

How to calculate Shear Stress Parallel Fillet Weld using this online calculator? To use this online calculator for Shear Stress Parallel Fillet Weld, enter Load on Parallel Fillet Weld (Pf), Length of Weld (L) & Leg of Weld (hl) and hit the calculate button. Here is how the Shear Stress Parallel Fillet Weld calculation can be explained with given input values -> 3.8E-5 = 111080/(0.195*0.0212*cos(pi/4)).

FAQ

What is Shear Stress Parallel Fillet Weld?
Shear Stress Parallel Fillet Weld is the strength of a material or component against the type of yield or structural failure when the material or component fails in shear. It is the stress in the parallel fillet weld subjected to shear and is represented as 𝜏 = Pf/(L*hl*cos(pi/4)) or Shear Stress in Parallel Fillet Weld = Load on Parallel Fillet Weld/(Length of 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, 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.
How to calculate Shear Stress Parallel Fillet Weld?
Shear Stress Parallel Fillet Weld is the strength of a material or component against the type of yield or structural failure when the material or component fails in shear. It is the stress in the parallel fillet weld subjected to shear is calculated using Shear Stress in Parallel Fillet Weld = Load on Parallel Fillet Weld/(Length of Weld*Leg of Weld*cos(pi/4)). To calculate Shear Stress Parallel Fillet Weld, you need Load on Parallel Fillet Weld (Pf), Length of Weld (L) & Leg of Weld (hl). With our tool, you need to enter the respective value for Load on Parallel Fillet Weld, Length of 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 Shear Stress in Parallel Fillet Weld?
In this formula, Shear Stress in Parallel Fillet Weld uses Load on Parallel Fillet Weld, Length of Weld & Leg of Weld. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • 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 = Load on Parallel Fillet Weld*(sin(Weld Cut Angle)+cos(Weld Cut Angle))/(Length of Weld*Leg of Weld)
  • Shear Stress in Parallel Fillet Weld = Load on Parallel Fillet Weld/(0.707*Length of Weld*Leg of Weld)
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