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Leg of Weld given Shear Stress-induced in Plane Formula

GoLeg of Weld given Maximum Shear Stress-induced in Plane Formula

GoLeg of Weld given Allowable Lod per mm Length of Transverse Fillet Weld Formula

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

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

h_l - Leg of Weld?P_d - Load on Double Transverse Fillet Weld?θ - Weld Cut Angle?𝜏 - Shear Stress in Transverse Fillet Weld?L - Length of Weld?

Leg of Weld given Shear Stress-induced in Plane Example

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Here is how the Leg of Weld given Shear Stress-induced in Plane equation looks like with Values.

Here is how the Leg of Weld given Shear Stress-induced in Plane equation looks like with Units.

Here is how the Leg of Weld given Shear Stress-induced in Plane equation looks like.

21.1992 = 26.87 \cdot \sin (45) \cdot \frac{\sin (45) + \cos (45)}{6.5 \cdot 195}

21.1992mm = 26.87kN \cdot \sin (45°) \cdot \frac{\sin (45°) + \cos (45°)}{6.5N/mm² \cdot 195mm}

21.1992 = 26.87 \cdot \sin (45) \cdot \frac{\sin (45) + \cos (45)}{6.5 \cdot 195}

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Leg of Weld given Shear Stress-induced in Plane Solution

Follow our step by step solution on how to calculate Leg of Weld given Shear Stress-induced in Plane?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h l = 26.87kN \cdot \sin (45°) \cdot \frac{\sin (45°) + \cos (45°)}{6.5N/mm² \cdot 195mm}

Next Step Convert Units

∴

h l = 26870N \cdot \sin (0.7854rad) \cdot \frac{\sin (0.7854rad) + \cos (0.7854rad)}{6.5E+6Pa \cdot 0.195m}

Next Step Prepare to Evaluate

∴

h l = 26870 \cdot \sin (0.7854) \cdot \frac{\sin (0.7854) + \cos (0.7854)}{6.5E+6 \cdot 0.195}

Next Step Evaluate

∴

h l = 0.0211992110453618m

Next Step Convert to Output's Unit

∴

h l = 21.1992110453618mm

LAST Step Rounding Answer

∴

h l = 21.1992mm

Leg of Weld given Shear Stress-induced in Plane Formula Elements

Variables

Functions

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

Load on Double Transverse Fillet Weld

Load on double transverse fillet weld is the force or the load applied or acting onto the double transverse fillet welded specimen cross-section.

Symbol: P_d

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Load on Double Transverse Fillet Weld

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.

Formulas to find Weld Cut Angle

Shear Stress in Transverse Fillet Weld

Shear stress in transverse 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: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Shear Stress in Transverse Fillet Weld

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

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 Leg of Weld

Go Leg of Weld given Maximum Shear Stress-induced in Plane

h l = 1.21 \cdot \frac{P a}{𝜏 max}

Go Leg of Weld given Allowable Lod per mm Length of Transverse Fillet Weld

h l = \frac{P a}{0.8284 \cdot 𝜏 max}

Other formulas in Transverse Fillet Weld category

Go Permissible Tensile Strength for Double Transverse Fillet Joint

σ t = \frac{P}{1.414 \cdot L \cdot L}

Go Tensile Stress in Transverse Fillet Weld

σ t = \frac{P t}{0.707 \cdot h l \cdot L}

Go Tensile Force on Plates given Tensile Stress in Transverse Fillet Weld

P t = σ t \cdot 0.707 \cdot h l \cdot L

Go Thickness of Plate given Tensile Stress in Transverse Fillet Weld

t = \frac{P t}{L \cdot σ t}

How to Evaluate Leg of Weld given Shear Stress-induced in Plane?

Leg of Weld given Shear Stress-induced in Plane evaluator uses Leg of Weld = Load on Double Transverse Fillet Weld*sin(Weld Cut Angle)*(sin(Weld Cut Angle)+cos(Weld Cut Angle))/(Shear Stress in Transverse Fillet Weld*Length of Weld) to evaluate the Leg of Weld, The Leg of Weld given Shear Stress-induced in Plane formula is defined as the distance from the joint root to the toe of the weld. The exposed surface of a weld on the side from which welding was done. Leg of Weld is denoted by h_l symbol.

How to evaluate Leg of Weld given Shear Stress-induced in Plane using this online evaluator? To use this online evaluator for Leg of Weld given Shear Stress-induced in Plane, enter Load on Double Transverse Fillet Weld (P_d), Weld Cut Angle (θ), Shear Stress in Transverse Fillet Weld (𝜏) & Length of Weld (L) and hit the calculate button.

FAQs on Leg of Weld given Shear Stress-induced in Plane

What is the formula to find Leg of Weld given Shear Stress-induced in Plane?

The formula of Leg of Weld given Shear Stress-induced in Plane is expressed as Leg of Weld = Load on Double Transverse Fillet Weld*sin(Weld Cut Angle)*(sin(Weld Cut Angle)+cos(Weld Cut Angle))/(Shear Stress in Transverse Fillet Weld*Length of Weld). Here is an example- 21199.21 = 26870*sin(0.785398163397301)*(sin(0.785398163397301)+cos(0.785398163397301))/(6500000*0.195).

How to calculate Leg of Weld given Shear Stress-induced in Plane?

With Load on Double Transverse Fillet Weld (P_d), Weld Cut Angle (θ), Shear Stress in Transverse Fillet Weld (𝜏) & Length of Weld (L) we can find Leg of Weld given Shear Stress-induced in Plane using the formula - Leg of Weld = Load on Double Transverse Fillet Weld*sin(Weld Cut Angle)*(sin(Weld Cut Angle)+cos(Weld Cut Angle))/(Shear Stress in Transverse Fillet Weld*Length of Weld). This formula also uses Sine (sin), Cosine (cos) function(s).

What are the other ways to Calculate Leg of Weld?

Here are the different ways to Calculate Leg of Weld-

Leg of Weld=1.21*Load per Unit Length in Transverse Fillet Weld/(Maximum Shear Stress in Transverse Fillet Weld)
Leg of Weld=Load per Unit Length in Transverse Fillet Weld/(0.8284*Maximum Shear Stress in Transverse Fillet Weld)

Can the Leg of Weld given Shear Stress-induced in Plane be negative?

No, the Leg of Weld given Shear Stress-induced in Plane, measured in Length cannot be negative.

Which unit is used to measure Leg of Weld given Shear Stress-induced in Plane?

Leg of Weld given Shear Stress-induced in Plane is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Leg of Weld given Shear Stress-induced in Plane can be measured.

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Leg of Weld given Shear Stress-induced in Plane Formula

​GoLeg of Weld given Maximum Shear Stress-induced in Plane Formula

​GoLeg of Weld given Allowable Lod per mm Length of Transverse Fillet Weld Formula

Leg of Weld given Shear Stress-induced in Plane Example

Leg of Weld given Shear Stress-induced in Plane Solution

Leg of Weld given Shear Stress-induced in Plane Formula Elements

Other Formulas to find Leg of Weld

Other formulas in Transverse Fillet Weld category

How to Evaluate Leg of Weld given Shear Stress-induced in Plane?

FAQs on Leg of Weld given Shear Stress-induced in Plane

Variable Name

GoLeg of Weld given Maximum Shear Stress-induced in Plane Formula

GoLeg of Weld given Allowable Lod per mm Length of Transverse Fillet Weld Formula