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Length of Weld given Shear Stress-induced in Plane that is inclined at Angle theta Formula

GoLength of weld given Tensile Stress in Transverse Fillet Weld Formula

GoLength of Weld given Maximum Shear Stress-induced in Plane 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 = P d \cdot \sin (θ) \cdot \frac{\sin (θ) + \cos (θ)}{𝜏 \cdot h l}

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

Length of Weld given Shear Stress-induced in Plane that is inclined at Angle theta Example

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Here is how the Length of Weld given Shear Stress-induced in Plane that is inclined at Angle theta equation looks like with Values.

Here is how the Length of Weld given Shear Stress-induced in Plane that is inclined at Angle theta equation looks like with Units.

Here is how the Length of Weld given Shear Stress-induced in Plane that is inclined at Angle theta equation looks like.

194.9927 = 26.87 \cdot \sin (45) \cdot \frac{\sin (45) + \cos (45)}{6.5 \cdot 21.2}

194.9927mm = 26.87kN \cdot \sin (45°) \cdot \frac{\sin (45°) + \cos (45°)}{6.5N/mm² \cdot 21.2mm}

194.9927 = 26.87 \cdot \sin (45) \cdot \frac{\sin (45) + \cos (45)}{6.5 \cdot 21.2}

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Length of Weld given Shear Stress-induced in Plane that is inclined at Angle theta Solution

Follow our step by step solution on how to calculate Length of Weld given Shear Stress-induced in Plane that is inclined at Angle theta?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

L = 26.87kN \cdot \sin (45°) \cdot \frac{\sin (45°) + \cos (45°)}{6.5N/mm² \cdot 21.2mm}

Next Step Convert Units

∴

L = 26870N \cdot \sin (0.7854rad) \cdot \frac{\sin (0.7854rad) + \cos (0.7854rad)}{6.5E+6Pa \cdot 0.0212m}

Next Step Prepare to Evaluate

∴

L = 26870 \cdot \sin (0.7854) \cdot \frac{\sin (0.7854) + \cos (0.7854)}{6.5E+6 \cdot 0.0212}

Next Step Evaluate

∴

L = 0.194992743105922m

Next Step Convert to Output's Unit

∴

L = 194.992743105922mm

LAST Step Rounding Answer

∴

L = 194.9927mm

Length of Weld given Shear Stress-induced in Plane that is inclined at Angle theta 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.

Formulas to find Length 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

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

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 weld given Tensile Stress in Transverse Fillet Weld

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

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

L = 1.21 \cdot \frac{P}{h l \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 Length of Weld given Shear Stress-induced in Plane that is inclined at Angle theta?

Length of Weld given Shear Stress-induced in Plane that is inclined at Angle theta evaluator uses Length 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*Leg of Weld) to evaluate the Length of Weld, The Length of Weld given Shear Stress-induced in Plane that is inclined at Angle theta formula is defined as the distance from the center of the face to the root of the weld. Length of Weld is denoted by L symbol.

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

FAQs on Length of Weld given Shear Stress-induced in Plane that is inclined at Angle theta

What is the formula to find Length of Weld given Shear Stress-induced in Plane that is inclined at Angle theta?

The formula of Length of Weld given Shear Stress-induced in Plane that is inclined at Angle theta is expressed as Length 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*Leg of Weld). Here is an example- 194992.7 = 26870*sin(0.785398163397301)*(sin(0.785398163397301)+cos(0.785398163397301))/(6500000*0.0212).

How to calculate Length of Weld given Shear Stress-induced in Plane that is inclined at Angle theta?

With Load on Double Transverse Fillet Weld (P_d), Weld Cut Angle (θ), Shear Stress in Transverse Fillet Weld (𝜏) & Leg of Weld (h_l) we can find Length of Weld given Shear Stress-induced in Plane that is inclined at Angle theta using the formula - Length 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*Leg of Weld). This formula also uses Sine, Cosine 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 Transverse Fillet Weld/(0.707*Leg of Weld*Tensile Stress in Transverse Fillet Weld)
Length of Weld=1.21*Load on Weld/(Leg of Weld*Maximum Shear Stress in Transverse Fillet Weld)

Can the Length of Weld given Shear Stress-induced in Plane that is inclined at Angle theta be negative?

No, the Length of Weld given Shear Stress-induced in Plane that is inclined at Angle theta, measured in Length cannot be negative.

Which unit is used to measure Length of Weld given Shear Stress-induced in Plane that is inclined at Angle theta?

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

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Length of Weld given Shear Stress-induced in Plane that is inclined at Angle theta Formula

​GoLength of weld given Tensile Stress in Transverse Fillet Weld Formula

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

Length of Weld given Shear Stress-induced in Plane that is inclined at Angle theta Example

Length of Weld given Shear Stress-induced in Plane that is inclined at Angle theta Solution

Length of Weld given Shear Stress-induced in Plane that is inclined at Angle theta Formula Elements

Other Formulas to find Length of Weld

Other formulas in Transverse Fillet Weld category

How to Evaluate Length of Weld given Shear Stress-induced in Plane that is inclined at Angle theta?

FAQs on Length of Weld given Shear Stress-induced in Plane that is inclined at Angle theta

Variable Name

GoLength of weld given Tensile Stress in Transverse Fillet Weld Formula

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