Shear Force Calculator

✖A centripetal force is a force that makes a body follow a curved path. Its direction is always orthogonal to the motion of the body and towards the fixed point of the instantaneous center of curvature of the path.ⓘ Centripetal Force [Fc]			+10% -10%
✖Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.ⓘ Theta [θ]			+10% -10%
✖The Tangential force is the force that acts on a moving body in the direction of a tangent to the curved path of the body.ⓘ Tangential Force [P_t]			+10% -10%

✖Shear Force is the force which causes shear deformation to occur in the shear plane.ⓘ Shear Force [F_s]

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Formula

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Shear Force

Formula

`"F"_{"s"} = "Fc"*cos("θ")-"P"_{"t"}*sin("θ")`

Example

`"1026.73N"="1200N"*cos("30°")-"25N"*sin("30°")`

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Shear Force Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shear Force = Centripetal Force*cos(Theta)-Tangential Force*sin(Theta)
F_s = Fc*cos(θ)-P_t*sin(θ)
This formula uses 2 Functions, 4 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 Force - (Measured in Newton) - Shear Force is the force which causes shear deformation to occur in the shear plane.
Centripetal Force - (Measured in Newton) - A centripetal force is a force that makes a body follow a curved path. Its direction is always orthogonal to the motion of the body and towards the fixed point of the instantaneous center of curvature of the path.
Theta - (Measured in Radian) - Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.
Tangential Force - (Measured in Newton) - The Tangential force is the force that acts on a moving body in the direction of a tangent to the curved path of the body.

STEP 1: Convert Input(s) to Base Unit

Centripetal Force: 1200 Newton --> 1200 Newton No Conversion Required
Theta: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
Tangential Force: 25 Newton --> 25 Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_s = Fc*cos(θ)-P_t*sin(θ) --> 1200*cos(0.5235987755982)-25*sin(0.5235987755982)

Evaluating ... ...

F_s = 1026.73048454133

STEP 3: Convert Result to Output's Unit

1026.73048454133 Newton --> No Conversion Required

FINAL ANSWER

1026.73048454133 ≈ 1026.73 Newton <-- Shear Force

(Calculation completed in 00.004 seconds)

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Credits

Created by Anirudh Singh

National Institute of Technology (NIT), Jamshedpur

Anirudh Singh has created this Calculator and 300+ more calculators!

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Shear Force Formula

Shear Force = Centripetal Force*cos(Theta)-Tangential Force*sin(Theta)
F_s = Fc*cos(θ)-P_t*sin(θ)

What is the Importance of increasing shear angle?

If all other factors remain the same, a higher shear angle results in a smaller shear plane area. Since the shear strength is applied across this area, the shear force required to form the chip will decrease when the shear plane area is decreased. This tends to make machining easier to perform, and also lower cutting energy and cutting temperature.

How to Calculate Shear Force?

Shear Force calculator uses Shear Force = Centripetal Force*cos(Theta)-Tangential Force*sin(Theta) to calculate the Shear Force, Shear Force is the force which causes shear deformation to occur in the shear plane. Shear Force is denoted by F_s symbol.

How to calculate Shear Force using this online calculator? To use this online calculator for Shear Force, enter Centripetal Force (Fc), Theta (θ) & Tangential Force (P_t) and hit the calculate button. Here is how the Shear Force calculation can be explained with given input values -> 1026.73 = 1200*cos(0.5235987755982)-25*sin(0.5235987755982).

FAQ

What is Shear Force?

Shear Force is the force which causes shear deformation to occur in the shear plane and is represented as F_s = Fc*cos(θ)-P_t*sin(θ) or Shear Force = Centripetal Force*cos(Theta)-Tangential Force*sin(Theta). A centripetal force is a force that makes a body follow a curved path. Its direction is always orthogonal to the motion of the body and towards the fixed point of the instantaneous center of curvature of the path, Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint & The Tangential force is the force that acts on a moving body in the direction of a tangent to the curved path of the body.

How to calculate Shear Force?

Shear Force is the force which causes shear deformation to occur in the shear plane is calculated using Shear Force = Centripetal Force*cos(Theta)-Tangential Force*sin(Theta). To calculate Shear Force, you need Centripetal Force (Fc), Theta (θ) & Tangential Force (P_t). With our tool, you need to enter the respective value for Centripetal Force, Theta & Tangential Force 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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