FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Shear Force Formula

Fx Copy

LaTeX Copy

Shear Force is the force which causes shear deformation to occur in the shear plane. Check FAQs

F s = Fc \cdot \cos (θ) - P t \cdot \sin (θ)

F_s - Shear Force?Fc - Centripetal Force?θ - Theta?P_t - Tangential Force?

Shear Force Example

With values

With units

Only example

Here is how the Shear Force equation looks like with Values.

Here is how the Shear Force equation looks like with Units.

Here is how the Shear Force equation looks like.

1026.7305 = 1200 \cdot \cos (30) - 25 \cdot \sin (30)

1026.7305N = 1200N \cdot \cos (30°) - 25N \cdot \sin (30°)

1026.7305 = 1200 \cdot \cos (30) - 25 \cdot \sin (30)

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Mechanical » Category

Manufacturing » fx Shear Force

Shear Force Solution

Follow our step by step solution on how to calculate Shear Force?

FIRST Step Consider the formula

F s = Fc \cdot \cos (θ) - P t \cdot \sin (θ)

Next Step Substitute values of Variables

∴

F s = 1200N \cdot \cos (30°) - 25N \cdot \sin (30°)

Next Step Convert Units

∴

F s = 1200N \cdot \cos (0.5236rad) - 25N \cdot \sin (0.5236rad)

Next Step Prepare to Evaluate

∴

F s = 1200 \cdot \cos (0.5236) - 25 \cdot \sin (0.5236)

Next Step Evaluate

∴

F s = 1026.73048454133N

LAST Step Rounding Answer

∴

F s = 1026.7305N

Shear Force Formula Elements

Variables

Functions

Shear Force

Shear Force is the force which causes shear deformation to occur in the shear plane.

Symbol: F_s

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Shear Force

Centripetal Force

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.

Symbol: Fc

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Centripetal Force

Theta

Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.

Symbol: θ

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Theta

Tangential Force

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.

Symbol: P_t

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Tangential Force

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 Metal Cutting category

Go Shear Angle

ϕ = a \tan (w \cdot \frac{\cos (θ)}{1 - w \cdot \sin (θ)})

Go Shear Plane Angle

ϕ = \arctan (\frac{r \cdot \cos (α)}{1 - r \cdot \sin (α)})

Go Shear Strain

𝜂 = \tan (ϕ) + \cot (ϕ - α)

Go Shear Strain in Machining

γ = \tan (φ - α) + \cos (φ)

How to Evaluate Shear Force?

Shear Force evaluator uses Shear Force = Centripetal Force*cos(Theta)-Tangential Force*sin(Theta) to evaluate 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 evaluate Shear Force using this online evaluator? To use this online evaluator for Shear Force, enter Centripetal Force (Fc), Theta (θ) & Tangential Force (P_t) and hit the calculate button.

FAQs on Shear Force

What is the formula to find Shear Force?

The formula of Shear Force is expressed as Shear Force = Centripetal Force*cos(Theta)-Tangential Force*sin(Theta). Here is an example- 1026.73 = 1200*cos(0.5235987755982)-25*sin(0.5235987755982).

How to calculate Shear Force?

With Centripetal Force (Fc), Theta (θ) & Tangential Force (P_t) we can find Shear Force using the formula - Shear Force = Centripetal Force*cos(Theta)-Tangential Force*sin(Theta). This formula also uses Sine (sin), Cosine (cos) function(s).

Can the Shear Force be negative?

Yes, the Shear Force, measured in Force can be negative.

Which unit is used to measure Shear Force?

Shear Force is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Shear Force can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Shear Force Formula

Shear Force Example

Shear Force Solution

Shear Force Formula Elements

Other formulas in Metal Cutting category

How to Evaluate Shear Force?

FAQs on Shear Force

Variable Name