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Force Acting given Shear Stress-induced in Plane that is Inclined at angle theta Formula

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

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

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

Force Acting given Shear Stress-induced in Plane that is Inclined at angle theta Example

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Here is how the Force Acting given Shear Stress-induced in Plane that is Inclined at angle theta equation looks like with Values.

Here is how the Force Acting given Shear Stress-induced in Plane that is Inclined at angle theta equation looks like with Units.

Here is how the Force Acting given Shear Stress-induced in Plane that is Inclined at angle theta equation looks like.

26.871 = \frac{6.5 \cdot 21.2 \cdot 195}{\sin (45) \cdot (\sin (45) + \cos (45))}

26.871kN = \frac{6.5N/mm² \cdot 21.2mm \cdot 195mm}{\sin (45°) \cdot (\sin (45°) + \cos (45°))}

26.871 = \frac{6.5 \cdot 21.2 \cdot 195}{\sin (45) \cdot (\sin (45) + \cos (45))}

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Force Acting given Shear Stress-induced in Plane that is Inclined at angle theta Solution

Follow our step by step solution on how to calculate Force Acting given Shear Stress-induced in Plane that is Inclined at angle theta?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P d = \frac{6.5N/mm² \cdot 21.2mm \cdot 195mm}{\sin (45°) \cdot (\sin (45°) + \cos (45°))}

Next Step Convert Units

∴

P d = \frac{6.5E+6Pa \cdot 0.0212m \cdot 0.195m}{\sin (0.7854rad) \cdot (\sin (0.7854rad) + \cos (0.7854rad))}

Next Step Prepare to Evaluate

∴

P d = \frac{6.5E+6 \cdot 0.0212 \cdot 0.195}{\sin (0.7854) \cdot (\sin (0.7854) + \cos (0.7854))}

Next Step Evaluate

∴

P d = 26871.000000004N

Next Step Convert to Output's Unit

∴

P d = 26.871000000004kN

LAST Step Rounding Answer

∴

P d = 26.871kN

Force Acting given Shear Stress-induced in Plane that is Inclined at angle theta Formula Elements

Variables

Functions

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

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

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

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

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 Force Acting given Shear Stress-induced in Plane that is Inclined at angle theta?

Force Acting given Shear Stress-induced in Plane that is Inclined at angle theta evaluator uses Load on Double Transverse Fillet Weld = (Shear Stress in Transverse Fillet Weld*Leg of Weld*Length of Weld)/(sin(Weld Cut Angle)*(sin(Weld Cut Angle)+cos(Weld Cut Angle))) to evaluate the Load on Double Transverse Fillet Weld, The Force Acting given Shear Stress-induced in plane that is inclined at angle theta formula is defined as the load or the force that is acting on the weld which is the reason for the induced shear stress. Load on Double Transverse Fillet Weld is denoted by P_d symbol.

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

FAQs on Force Acting given Shear Stress-induced in Plane that is Inclined at angle theta

What is the formula to find Force Acting given Shear Stress-induced in Plane that is Inclined at angle theta?

The formula of Force Acting given Shear Stress-induced in Plane that is Inclined at angle theta is expressed as Load on Double Transverse Fillet Weld = (Shear Stress in Transverse Fillet Weld*Leg of Weld*Length of Weld)/(sin(Weld Cut Angle)*(sin(Weld Cut Angle)+cos(Weld Cut Angle))). Here is an example- 0.026871 = (6500000*0.0212*0.195)/(sin(0.785398163397301)*(sin(0.785398163397301)+cos(0.785398163397301))).

How to calculate Force Acting given Shear Stress-induced in Plane that is Inclined at angle theta?

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

Can the Force Acting given Shear Stress-induced in Plane that is Inclined at angle theta be negative?

No, the Force Acting given Shear Stress-induced in Plane that is Inclined at angle theta, measured in Force cannot be negative.

Which unit is used to measure Force Acting given Shear Stress-induced in Plane that is Inclined at angle theta?

Force Acting given Shear Stress-induced in Plane that is Inclined at angle theta is usually measured using the Kilonewton[kN] for Force. Newton[kN], Exanewton[kN], Meganewton[kN] are the few other units in which Force Acting given Shear Stress-induced in Plane that is Inclined at angle theta can be measured.

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Force Acting given Shear Stress-induced in Plane that is Inclined at angle theta Formula

Force Acting given Shear Stress-induced in Plane that is Inclined at angle theta Example

Force Acting given Shear Stress-induced in Plane that is Inclined at angle theta Solution

Force Acting given Shear Stress-induced in Plane that is Inclined at angle theta Formula Elements

Other formulas in Transverse Fillet Weld category

How to Evaluate Force Acting given Shear Stress-induced in Plane that is Inclined at angle theta?

FAQs on Force Acting given Shear Stress-induced in Plane that is Inclined at angle theta

Variable Name