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Length of Parallel Fillet Weld given Shear Stress Formula

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

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The Length of Weld is the linear distance of the welding segment joined by the welded joint. Check FAQs

L = \frac{P f}{𝜏 \cdot h l \cdot \cos (\frac{π}{4})}

L - Length of Weld?P_f - Load on Parallel Fillet Weld?𝜏 - Shear Stress in Parallel Fillet Weld?h_l - Leg of Weld?π - Archimedes' constant?

Length of Parallel Fillet Weld given Shear Stress Example

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

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

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

194.9986 = \frac{111080}{38 \cdot 21.2 \cdot \cos (\frac{3.1416}{4})}

194.9986mm = \frac{111080N}{38N/mm² \cdot 21.2mm \cdot \cos (\frac{3.1416}{4})}

194.9986 = \frac{111080}{38 \cdot 21.2 \cdot \cos (\frac{3.1416}{4})}

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Length of Parallel Fillet Weld given Shear Stress Solution

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

FIRST Step Consider the formula

L = \frac{P f}{𝜏 \cdot h l \cdot \cos (\frac{π}{4})}

Next Step Substitute values of Variables

∴

L = \frac{111080N}{38N/mm² \cdot 21.2mm \cdot \cos (\frac{π}{4})}

Next Step Substitute values of Constants

∴

L = \frac{111080N}{38N/mm² \cdot 21.2mm \cdot \cos (\frac{3.1416}{4})}

Next Step Convert Units

∴

L = \frac{111080N}{3.8E+7Pa \cdot 0.0212m \cdot \cos (\frac{3.1416}{4})}

Next Step Prepare to Evaluate

∴

L = \frac{111080}{3.8E+7 \cdot 0.0212 \cdot \cos (\frac{3.1416}{4})}

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 Formula Elements

Variables

Constants

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.

Formulas to find Length of Weld

Load on Parallel Fillet Weld

Load on Parallel Fillet Weld is the force, or the load applied perpendicular to the specimen cross-section.

Symbol: P_f

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Load on Parallel Fillet Weld

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.

Formulas to find Shear Stress in Parallel Fillet Weld

Leg of Weld

The Leg of Weld is the distance from the joint root to the toe of the weld.

Symbol: h_l

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Leg of Weld

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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 and Weld Cut Angle

L = P f \cdot \frac{\sin (θ) + \cos (θ)}{h l \cdot 𝜏}

Other formulas in Parallel Fillet Welds category

Go Shear Stress in Double Parallel Fillet Weld

ζ fw = \frac{P dp}{0.707 \cdot L \cdot h l}

Go Shear Stress in Parallel Fillet Weld

𝜏 = \frac{P f}{0.707 \cdot L \cdot h l}

Go Throat of Parallel Fillet Weld

h t = h l \cdot \cos (\frac{π}{4})

Go Leg of Parallel Fillet Weld given Throat of Weld

h l = \frac{h t}{\cos (\frac{π}{4})}

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

Length of Parallel Fillet Weld given Shear Stress evaluator uses Length of Weld = Load on Parallel Fillet Weld/(Shear Stress in Parallel Fillet Weld*Leg of Weld*cos(pi/4)) to evaluate the Length of Weld, Length of Parallel Fillet Weld given Shear Stress 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 using this online evaluator? To use this online evaluator for Length of Parallel Fillet Weld given Shear Stress, enter Load on Parallel Fillet Weld (P_f), Shear Stress in Parallel Fillet Weld (𝜏) & Leg of Weld (h_l) and hit the calculate button.

FAQs on Length of Parallel Fillet Weld given Shear Stress

What is the formula to find Length of Parallel Fillet Weld given Shear Stress?

The formula of Length of Parallel Fillet Weld given Shear Stress is expressed as Length of Weld = Load on Parallel Fillet Weld/(Shear Stress in Parallel Fillet Weld*Leg of Weld*cos(pi/4)). Here is an example- 194998.6 = 111080/(38000000*0.0212*cos(pi/4)).

How to calculate Length of Parallel Fillet Weld given Shear Stress?

With Load on Parallel Fillet Weld (P_f), Shear Stress in Parallel Fillet Weld (𝜏) & Leg of Weld (h_l) we can find Length of Parallel Fillet Weld given Shear Stress using the formula - Length of Weld = Load on Parallel Fillet Weld/(Shear Stress in Parallel Fillet Weld*Leg of Weld*cos(pi/4)). This formula also uses Archimedes' constant and 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*(sin(Weld Cut Angle)+cos(Weld Cut Angle))/(Leg of Weld*Shear Stress in Parallel Fillet Weld)

Can the Length of Parallel Fillet Weld given Shear Stress be negative?

No, the Length of Parallel Fillet Weld given Shear Stress, measured in Length cannot be negative.

Which unit is used to measure Length of Parallel Fillet Weld given Shear Stress?

Length of Parallel Fillet Weld given Shear Stress 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 can be measured.

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Length of Parallel Fillet Weld given Shear Stress Formula

​GoLength of Parallel Fillet Weld given Shear Stress and Weld Cut Angle Formula

Length of Parallel Fillet Weld given Shear Stress Example

Length of Parallel Fillet Weld given Shear Stress Solution

Length of Parallel Fillet Weld given Shear Stress Formula Elements

Other Formulas to find Length of Weld

Other formulas in Parallel Fillet Welds category

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

FAQs on Length of Parallel Fillet Weld given Shear Stress

Variable Name

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