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Shear Stress-Induced in Plane that is inclined at Angle theta to Horizontal Formula

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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. Check FAQs

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

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

Shear Stress-Induced in Plane that is inclined at Angle theta to Horizontal Example

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Here is how the Shear Stress-Induced in Plane that is inclined at Angle theta to Horizontal equation looks like with Values.

Here is how the Shear Stress-Induced in Plane that is inclined at Angle theta to Horizontal equation looks like with Units.

Here is how the Shear Stress-Induced in Plane that is inclined at Angle theta to Horizontal equation looks like.

6.4998 = 26.87 \cdot \sin (45) \cdot \frac{\sin (45) + \cos (45)}{21.2 \cdot 195}

6.4998N/mm² = 26.87kN \cdot \sin (45°) \cdot \frac{\sin (45°) + \cos (45°)}{21.2mm \cdot 195mm}

6.4998 = 26.87 \cdot \sin (45) \cdot \frac{\sin (45) + \cos (45)}{21.2 \cdot 195}

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Shear Stress-Induced in Plane that is inclined at Angle theta to Horizontal Solution

Follow our step by step solution on how to calculate Shear Stress-Induced in Plane that is inclined at Angle theta to Horizontal?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

𝜏 = 26.87kN \cdot \sin (45°) \cdot \frac{\sin (45°) + \cos (45°)}{21.2mm \cdot 195mm}

Next Step Convert Units

∴

𝜏 = 26870N \cdot \sin (0.7854rad) \cdot \frac{\sin (0.7854rad) + \cos (0.7854rad)}{0.0212m \cdot 0.195m}

Next Step Prepare to Evaluate

∴

𝜏 = 26870 \cdot \sin (0.7854) \cdot \frac{\sin (0.7854) + \cos (0.7854)}{0.0212 \cdot 0.195}

Next Step Evaluate

∴

𝜏 = 6499758.10353073Pa

Next Step Convert to Output's Unit

∴

𝜏 = 6.49975810353073N/mm²

LAST Step Rounding Answer

∴

𝜏 = 6.4998N/mm²

Shear Stress-Induced in Plane that is inclined at Angle theta to Horizontal Formula Elements

Variables

Functions

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

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

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

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 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 Shear Stress-Induced in Plane that is inclined at Angle theta to Horizontal?

Shear Stress-Induced in Plane that is inclined at Angle theta to Horizontal evaluator uses Shear Stress in Transverse Fillet Weld = Load on Double Transverse Fillet Weld*sin(Weld Cut Angle)*(sin(Weld Cut Angle)+cos(Weld Cut Angle))/(Leg of Weld*Length of Weld) to evaluate the Shear Stress in Transverse Fillet Weld, The Shear Stress-induced in Plane that is inclined at Angle theta to Horizontal formula is defined as the force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress. Shear Stress in Transverse Fillet Weld is denoted by 𝜏 symbol.

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

FAQs on Shear Stress-Induced in Plane that is inclined at Angle theta to Horizontal

What is the formula to find Shear Stress-Induced in Plane that is inclined at Angle theta to Horizontal?

The formula of Shear Stress-Induced in Plane that is inclined at Angle theta to Horizontal is expressed as Shear Stress in Transverse Fillet Weld = Load on Double Transverse Fillet Weld*sin(Weld Cut Angle)*(sin(Weld Cut Angle)+cos(Weld Cut Angle))/(Leg of Weld*Length of Weld). Here is an example- 6.5E-6 = 26870*sin(0.785398163397301)*(sin(0.785398163397301)+cos(0.785398163397301))/(0.0212*0.195).

How to calculate Shear Stress-Induced in Plane that is inclined at Angle theta to Horizontal?

With Load on Double Transverse Fillet Weld (P_d), Weld Cut Angle (θ), Leg of Weld (h_l) & Length of Weld (L) we can find Shear Stress-Induced in Plane that is inclined at Angle theta to Horizontal using the formula - Shear Stress in Transverse Fillet Weld = Load on Double Transverse Fillet Weld*sin(Weld Cut Angle)*(sin(Weld Cut Angle)+cos(Weld Cut Angle))/(Leg of Weld*Length of Weld). This formula also uses Sine (sin), Cosine (cos) function(s).

Can the Shear Stress-Induced in Plane that is inclined at Angle theta to Horizontal be negative?

No, the Shear Stress-Induced in Plane that is inclined at Angle theta to Horizontal, measured in Stress cannot be negative.

Which unit is used to measure Shear Stress-Induced in Plane that is inclined at Angle theta to Horizontal?

Shear Stress-Induced in Plane that is inclined at Angle theta to Horizontal is usually measured using the Newton per Square Millimeter[N/mm²] for Stress. Pascal[N/mm²], Newton per Square Meter[N/mm²], Kilonewton per Square Meter[N/mm²] are the few other units in which Shear Stress-Induced in Plane that is inclined at Angle theta to Horizontal can be measured.

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Shear Stress-Induced in Plane that is inclined at Angle theta to Horizontal Formula

Shear Stress-Induced in Plane that is inclined at Angle theta to Horizontal Example

Shear Stress-Induced in Plane that is inclined at Angle theta to Horizontal Solution

Shear Stress-Induced in Plane that is inclined at Angle theta to Horizontal Formula Elements

Other formulas in Transverse Fillet Weld category

How to Evaluate Shear Stress-Induced in Plane that is inclined at Angle theta to Horizontal?

FAQs on Shear Stress-Induced in Plane that is inclined at Angle theta to Horizontal

Variable Name