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The Length of Weld is the linear distance of the welding segment joined by the welded joint. Check FAQs
L=Pfsin(θ)+cos(θ)hl𝜏
L - Length of Weld?Pf - Load on Parallel Fillet Weld?θ - Weld Cut Angle?hl - Leg of Weld?𝜏 - Shear Stress in Parallel Fillet Weld?

Length of Parallel Fillet Weld given Shear Stress and Weld Cut Angle Example

With values
With units
Only example

Here is how the Length of Parallel Fillet Weld given Shear Stress and Weld Cut Angle equation looks like with Values.

Here is how the Length of Parallel Fillet Weld given Shear Stress and Weld Cut Angle equation looks like with Units.

Here is how the Length of Parallel Fillet Weld given Shear Stress and Weld Cut Angle equation looks like.

194.9986Edit=111080Editsin(45Edit)+cos(45Edit)21.2Edit38Edit
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Length of Parallel Fillet Weld given Shear Stress and Weld Cut Angle Solution

Follow our step by step solution on how to calculate Length of Parallel Fillet Weld given Shear Stress and Weld Cut Angle?

FIRST Step Consider the formula
L=Pfsin(θ)+cos(θ)hl𝜏
Next Step Substitute values of Variables
L=111080Nsin(45°)+cos(45°)21.2mm38N/mm²
Next Step Convert Units
L=111080Nsin(0.7854rad)+cos(0.7854rad)0.0212m3.8E+7Pa
Next Step Prepare to Evaluate
L=111080sin(0.7854)+cos(0.7854)0.02123.8E+7
Next Step Evaluate
L=0.194998563193152m
Next Step Convert to Output's Unit
L=194.998563193152mm
LAST Step Rounding Answer
L=194.9986mm

Length of Parallel Fillet Weld given Shear Stress and Weld Cut Angle Formula Elements

Variables
Functions
Length of Weld
The Length of Weld is the linear distance of the welding segment joined by the welded joint.
Symbol: L
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
Load on Parallel Fillet Weld
Load on Parallel Fillet Weld is the force, or the load applied perpendicular to the specimen cross-section.
Symbol: Pf
Measurement: ForceUnit: N
Note: Value should be greater than 0.
Weld Cut Angle
Weld Cut Angle is the angle at which the weld is cut with the horizontal.
Symbol: θ
Measurement: AngleUnit: °
Note: Value can be positive or negative.
Leg of Weld
The Leg of Weld is the distance from the joint root to the toe of the weld.
Symbol: hl
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
Shear Stress in Parallel Fillet Weld
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.
Symbol: 𝜏
Measurement: PressureUnit: N/mm²
Note: Value should be greater than 0.
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.
Syntax: sin(Angle)
cos
Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.
Syntax: cos(Angle)

Other Formulas to find Length of Weld

​Go Length of Parallel Fillet Weld given Shear Stress
L=Pf𝜏hlcos(π4)

Other formulas in Parallel Fillet Welds category

​Go Shear Stress in Double Parallel Fillet Weld
𝜏=Pdp0.707Lhl
​Go Shear Stress in Parallel Fillet Weld
𝜏=Pf0.707Lhl
​Go Throat of Parallel Fillet Weld
ht=hlcos(π4)
​Go Leg of Parallel Fillet Weld given Throat of Weld
hl=htcos(π4)

How to Evaluate Length of Parallel Fillet Weld given Shear Stress and Weld Cut Angle?

Length of Parallel Fillet Weld given Shear Stress and Weld Cut Angle evaluator uses 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) to evaluate the Length of Weld, Length of Parallel Fillet Weld given Shear Stress and Weld Cut Angle is the linear distance of each weld segment. It is a method to calculate the effective Length of the Weld required to hold the Weld Joints together when subjected to shear. Length of Weld is denoted by L symbol.

How to evaluate Length of Parallel Fillet Weld given Shear Stress and Weld Cut Angle using this online evaluator? To use this online evaluator for Length of Parallel Fillet Weld given Shear Stress and Weld Cut Angle, enter Load on Parallel Fillet Weld (Pf), Weld Cut Angle (θ), Leg of Weld (hl) & Shear Stress in Parallel Fillet Weld (𝜏) and hit the calculate button.

FAQs on Length of Parallel Fillet Weld given Shear Stress and Weld Cut Angle

What is the formula to find Length of Parallel Fillet Weld given Shear Stress and Weld Cut Angle?
The formula of Length of Parallel Fillet Weld given Shear Stress and Weld Cut Angle is expressed as 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). Here is an example- 194998.6 = 111080*(sin(0.785398163397301)+cos(0.785398163397301))/(0.0212*38000000).
How to calculate Length of Parallel Fillet Weld given Shear Stress and Weld Cut Angle?
With Load on Parallel Fillet Weld (Pf), Weld Cut Angle (θ), Leg of Weld (hl) & Shear Stress in Parallel Fillet Weld (𝜏) we can find Length of Parallel Fillet Weld given Shear Stress and Weld Cut Angle using the formula - 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). This formula also uses Sine (sin), Cosine (cos) function(s).
What are the other ways to Calculate Length of Weld?
Here are the different ways to Calculate Length of Weld-
  • Length of Weld=Load on Parallel Fillet Weld/(Shear Stress in Parallel Fillet Weld*Leg of Weld*cos(pi/4))OpenImg
Can the Length of Parallel Fillet Weld given Shear Stress and Weld Cut Angle be negative?
No, the Length of Parallel Fillet Weld given Shear Stress and Weld Cut Angle, measured in Length cannot be negative.
Which unit is used to measure Length of Parallel Fillet Weld given Shear Stress and Weld Cut Angle?
Length of Parallel Fillet Weld given Shear Stress and Weld Cut Angle is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Length of Parallel Fillet Weld given Shear Stress and Weld Cut Angle can be measured.
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