Shear Stress in Parallel Fillet Weld given Load Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
𝜏 = Pf*(sin(θ)+cos(θ))/(L*hl)
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
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.
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.
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
Weld Cut Angle: 45 Degree --> 0.785398163397301 Radian (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)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
𝜏 = Pf*(sin(θ)+cos(θ))/(L*hl) --> 111080*(sin(0.785398163397301)+cos(0.785398163397301))/(0.195*0.0212)
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 Parul Keshav
National Institute of Technology (NIT), Srinagar
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Parallel Fillet Welds Calculators

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)
Shear Stress in Double Parallel Fillet Weld
​ LaTeX ​ Go Shearing Stress = Load on Double 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 in Parallel Fillet Weld given Load Formula

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

what is shear stress?

Shear stress, the force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress. The resultant shear is of great importance in nature, being intimately related to the downslope movement of earth materials and to earthquakes.

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

Shear Stress in Parallel Fillet Weld given Load calculator uses 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) to calculate the Shear Stress in Parallel Fillet Weld, Shear Stress in Parallel Fillet Weld given Load is the force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress. It 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 in Parallel Fillet Weld given Load using this online calculator? To use this online calculator for Shear Stress in Parallel Fillet Weld given Load, enter Load on Parallel Fillet Weld (Pf), Weld Cut Angle (θ), Length of Weld (L) & Leg of Weld (hl) and hit the calculate button. Here is how the Shear Stress in Parallel Fillet Weld given Load calculation can be explained with given input values -> 3.8E-5 = 111080*(sin(0.785398163397301)+cos(0.785398163397301))/(0.195*0.0212).

FAQ

What is Shear Stress in Parallel Fillet Weld given Load?
Shear Stress in Parallel Fillet Weld given Load is the force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress. It 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*(sin(θ)+cos(θ))/(L*hl) or 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). 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 & The Leg of Weld is the distance from the joint root to the toe of the weld.
How to calculate Shear Stress in Parallel Fillet Weld given Load?
Shear Stress in Parallel Fillet Weld given Load is the force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress. It 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*(sin(Weld Cut Angle)+cos(Weld Cut Angle))/(Length of Weld*Leg of Weld). To calculate Shear Stress in Parallel Fillet Weld given Load, you need Load on Parallel Fillet Weld (Pf), Weld Cut Angle (θ), Length of Weld (L) & Leg of Weld (hl). With our tool, you need to enter the respective value for Load on Parallel Fillet Weld, Weld Cut Angle, 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, Weld Cut Angle, 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/(Length of Weld*Leg of Weld*cos(pi/4))
  • Shear Stress in Parallel Fillet Weld = Load on Parallel Fillet Weld/(0.707*Length of Weld*Leg of Weld)
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