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

✖Load on double transverse fillet weld is the force or the load applied or acting onto the double transverse fillet welded specimen cross-section.ⓘ Load on Double Transverse Fillet Weld [P_d]			+10% -10%
✖Weld Cut Angle is the angle at which the weld is cut with the horizontal.ⓘ Weld Cut Angle [θ]			+10% -10%
✖The Leg of Weld is the distance from the joint root to the toe of the weld.ⓘ Leg of Weld [h_l]			+10% -10%
✖The Length of Weld is the linear distance of the welding segment joined by the welded joint.ⓘ Length of Weld [L]			+10% -10%

✖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.ⓘ Shear Stress-Induced in Plane that is inclined at Angle theta to Horizontal [𝜏]

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

STEP 0: Pre-Calculation Summary

Formula Used

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)
𝜏 = P_d*sin(θ)*(sin(θ)+cos(θ))/(h_l*L)
This formula uses 2 Functions, 5 Variables

Functions Used

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., sin(Angle)
cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

Shear Stress in Transverse Fillet Weld - (Measured in Pascal) - 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.
Load on Double Transverse Fillet Weld - (Measured in Newton) - Load on double transverse fillet weld is the force or the load applied or acting onto the double transverse fillet welded specimen cross-section.
Weld Cut Angle - (Measured in Radian) - Weld Cut Angle is the angle at which the weld is cut with the horizontal.
Leg of Weld - (Measured in Meter) - The Leg of Weld is the distance from the joint root to the toe of the weld.
Length of Weld - (Measured in Meter) - The Length of Weld is the linear distance of the welding segment joined by the welded joint.

STEP 1: Convert Input(s) to Base Unit

Load on Double Transverse Fillet Weld: 26.87 Kilonewton --> 26870 Newton (Check conversion here)
Weld Cut Angle: 45 Degree --> 0.785398163397301 Radian (Check conversion here)
Leg of Weld: 21.2 Millimeter --> 0.0212 Meter (Check conversion here)
Length of Weld: 195 Millimeter --> 0.195 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

𝜏 = P_d*sin(θ)*(sin(θ)+cos(θ))/(h_l*L) --> 26870*sin(0.785398163397301)*(sin(0.785398163397301)+cos(0.785398163397301))/(0.0212*0.195)

Evaluating ... ...

𝜏 = 6499758.10353073

STEP 3: Convert Result to Output's Unit

6499758.10353073 Pascal -->6.49975810353073 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

6.49975810353073 ≈ 6.499758 Newton per Square Millimeter <-- Shear Stress in Transverse Fillet Weld

(Calculation completed in 00.004 seconds)

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Home » Physics » Design of Machine Elements » Design of Coupling » Welded Joints » Mechanical » Transverse Fillet Weld » Shear Stress-Induced in Plane that is inclined at Angle theta to Horizontal

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< Transverse Fillet Weld Calculators

Thickness of Plate given Tensile Stress in Transverse Fillet Weld

LaTeX Go Thickness of Transverse Fillet Welded Plate = Load on Transverse Fillet Weld/(Length of Weld*Tensile Stress in Transverse Fillet Weld)

Tensile Stress in Transverse Fillet Weld

LaTeX Go Tensile Stress in Transverse Fillet Weld = Load on Transverse Fillet Weld/(0.707*Leg of Weld*Length of Weld)

Tensile Force on Plates given Tensile Stress in Transverse Fillet Weld

LaTeX Go Load on Transverse Fillet Weld = Tensile Stress in Transverse Fillet Weld*0.707*Leg of Weld*Length of Weld

Permissible Tensile Strength for Double Transverse Fillet Joint

LaTeX Go Tensile Stress in Transverse Fillet Weld = Load on Weld/(1.414*Length of Weld*Length of Weld)

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

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Define Shear Stress?

When a machine member is subjected to the action of two equal and opposite couples acting in parallel. planes (or torque or twisting moment), then the machine member is said to be subjected to torsion. The. stress set up by torsion is known as torsional shear stress.

How to Calculate 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 calculator 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 calculate 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 calculate Shear Stress-Induced in Plane that is inclined at Angle theta to Horizontal using this online calculator? To use this online calculator 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. Here is how the Shear Stress-Induced in Plane that is inclined at Angle theta to Horizontal calculation can be explained with given input values -> 6.5E-6 = 26870*sin(0.785398163397301)*(sin(0.785398163397301)+cos(0.785398163397301))/(0.0212*0.195).

FAQ

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

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 and is represented as 𝜏 = P_d*sin(θ)*(sin(θ)+cos(θ))/(h_l*L) or 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). Load on double transverse fillet weld is the force or the load applied or acting onto the double transverse fillet welded specimen cross-section, Weld Cut Angle is the angle at which the weld is cut with the horizontal, The Leg of Weld is the distance from the joint root to the toe of the weld & The Length of Weld is the linear distance of the welding segment joined by the welded joint.

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

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 is calculated using 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 calculate Shear Stress-Induced in Plane that is inclined at Angle theta to Horizontal, you need Load on Double Transverse Fillet Weld (P_d), Weld Cut Angle (θ), Leg of Weld (h_l) & Length of Weld (L). With our tool, you need to enter the respective value for Load on Double Transverse Fillet Weld, Weld Cut Angle, Leg of Weld & Length of Weld and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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