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

✖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 in Transverse Fillet Weld [𝜏]			+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%
✖Weld Cut Angle is the angle at which the weld is cut with the horizontal.ⓘ Weld Cut Angle [θ]			+10% -10%

✖Load on double transverse fillet weld is the force or the load applied or acting onto the double transverse fillet welded specimen cross-section.ⓘ Force Acting given Shear Stress-induced in Plane that is Inclined at angle theta [P_d]

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

STEP 0: Pre-Calculation Summary

Formula Used

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)))
P_d = (𝜏*h_l*L)/(sin(θ)*(sin(θ)+cos(θ)))
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

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.
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.
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.
Weld Cut Angle - (Measured in Radian) - Weld Cut Angle is the angle at which the weld is cut with the horizontal.

STEP 1: Convert Input(s) to Base Unit

Shear Stress in Transverse Fillet Weld: 6.5 Newton per Square Millimeter --> 6500000 Pascal (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)
Weld Cut Angle: 45 Degree --> 0.785398163397301 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_d = (𝜏*h_l*L)/(sin(θ)*(sin(θ)+cos(θ))) --> (6500000*0.0212*0.195)/(sin(0.785398163397301)*(sin(0.785398163397301)+cos(0.785398163397301)))

Evaluating ... ...

P_d = 26871.000000004

STEP 3: Convert Result to Output's Unit

26871.000000004 Newton -->26.871000000004 Kilonewton (Check conversion here)

FINAL ANSWER

26.871000000004 ≈ 26.871 Kilonewton <-- Load on Double Transverse Fillet Weld

(Calculation completed in 00.004 seconds)

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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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)

Force Acting given Shear Stress-induced in Plane that is Inclined at angle theta 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 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 calculator 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 calculate 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 calculate Force Acting given Shear Stress-induced in Plane that is Inclined at angle theta using this online calculator? To use this online calculator 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. Here is how the Force Acting given Shear Stress-induced in Plane that is Inclined at angle theta calculation can be explained with given input values -> 0.026871 = (6500000*0.0212*0.195)/(sin(0.785398163397301)*(sin(0.785398163397301)+cos(0.785398163397301))).

FAQ

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

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 and is represented as P_d = (𝜏*h_l*L)/(sin(θ)*(sin(θ)+cos(θ))) or 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))). 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, 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 & Weld Cut Angle is the angle at which the weld is cut with the horizontal.

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

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 is calculated using 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 calculate Force Acting given Shear Stress-induced in Plane that is Inclined at angle theta, you need Shear Stress in Transverse Fillet Weld (𝜏), Leg of Weld (h_l), Length of Weld (L) & Weld Cut Angle (θ). With our tool, you need to enter the respective value for Shear Stress in Transverse Fillet Weld, Leg of Weld, Length of Weld & Weld Cut Angle 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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