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Turning Force on Elementary Ring Formula

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Turning force is called a torque and the effect it produces is called a moment. Check FAQs

T force = \frac{4 \cdot π \cdot 𝜏 max \cdot (r^{2}) \cdot b ring}{d outer}

T_force - Turning force?𝜏_max - Maximum Shear Stress?r - Radius of elementary circular ring?b_ring - Thickness of ring?d_outer - Outer Diameter of Shaft?π - Archimedes' constant?

Turning Force on Elementary Ring Example

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Here is how the Turning Force on Elementary Ring equation looks like with Values.

Here is how the Turning Force on Elementary Ring equation looks like with Units.

Here is how the Turning Force on Elementary Ring equation looks like.

1.0053 = \frac{4 \cdot 3.1416 \cdot 16 \cdot (2^{2}) \cdot 5}{4000}

1.0053N = \frac{4 \cdot 3.1416 \cdot 16MPa \cdot ({2mm}^{2}) \cdot 5mm}{4000mm}

1.0053 = \frac{4 \cdot 3.1416 \cdot 16 \cdot (2^{2}) \cdot 5}{4000}

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Turning Force on Elementary Ring Solution

Follow our step by step solution on how to calculate Turning Force on Elementary Ring?

FIRST Step Consider the formula

T force = \frac{4 \cdot π \cdot 𝜏 max \cdot (r^{2}) \cdot b ring}{d outer}

Next Step Substitute values of Variables

∴

T force = \frac{4 \cdot π \cdot 16MPa \cdot ({2mm}^{2}) \cdot 5mm}{4000mm}

Next Step Substitute values of Constants

∴

T force = \frac{4 \cdot 3.1416 \cdot 16MPa \cdot ({2mm}^{2}) \cdot 5mm}{4000mm}

Next Step Convert Units

∴

T force = \frac{4 \cdot 3.1416 \cdot 1.6E+7Pa \cdot ({0.002m}^{2}) \cdot 0.005m}{4m}

Next Step Prepare to Evaluate

∴

T force = \frac{4 \cdot 3.1416 \cdot 1.6E+7 \cdot ({0.002}^{2}) \cdot 0.005}{4}

Next Step Evaluate

∴

T force = 1.00530964914873N

LAST Step Rounding Answer

∴

T force = 1.0053N

Turning Force on Elementary Ring Formula Elements

Variables

Constants

Turning force

Turning force is called a torque and the effect it produces is called a moment.

Symbol: T_force

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Turning force

Maximum Shear Stress

Maximum Shear Stress that acts coplanar with cross-section of material, arises due to shear forces.

Symbol: 𝜏_max

Measurement: StressUnit: MPa

Note: Value can be positive or negative.

Formulas to find Maximum Shear Stress

Radius of elementary circular ring

Radius of elementary circular ring is defined as any of the line segments from its center to its perimeter.

Symbol: r

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Radius of elementary circular ring

Thickness of ring

Thickness of ring is defined as the distance through an object, as distinct from width or height.

Symbol: b_ring

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Thickness of ring

Outer Diameter of Shaft

Outer Diameter of Shaft is defined as the length of the longest chord of the surface of the hollow circular shaft.

Symbol: d_outer

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Outer Diameter of Shaft

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in Torque Transmitted by a Hollow Circular Shaft category

Go Maximum Shear Stress at Outer Surface given Diameter of Shaft on Hollow Circular Shaft

𝜏 max = \frac{16 \cdot d outer \cdot T}{π \cdot (({d outer}^{4}) - ({d inner}^{4}))}

Go Total Turning Moment on Hollow Circular Shaft given Diameter of Shaft

T = \frac{π \cdot 𝜏 max \cdot (({d outer}^{4}) - ({d inner}^{4}))}{16 \cdot d outer}

Go Maximum Shear Stress at Outer Surface given Total Turning Moment on Hollow Circular Shaft

𝜏 max = \frac{T \cdot 2 \cdot r hollow}{π \cdot (({r hollow}^{4}) - ({r inner}^{4}))}

Go Total Turning Moment on Hollow Circular Shaft given Radius of Shaft

T = \frac{π \cdot 𝜏 max \cdot (({r hollow}^{4}) - ({r inner}^{4}))}{2 \cdot r hollow}

How to Evaluate Turning Force on Elementary Ring?

Turning Force on Elementary Ring evaluator uses Turning force = (4*pi*Maximum Shear Stress*(Radius of elementary circular ring^2)*Thickness of ring)/Outer Diameter of Shaft to evaluate the Turning force, The Turning force on elementary ring formula is defined as a torque and the effect it produces is called a moment. Turning force is denoted by T_force symbol.

How to evaluate Turning Force on Elementary Ring using this online evaluator? To use this online evaluator for Turning Force on Elementary Ring, enter Maximum Shear Stress (𝜏_max), Radius of elementary circular ring (r), Thickness of ring (b_ring) & Outer Diameter of Shaft (d_outer) and hit the calculate button.

FAQs on Turning Force on Elementary Ring

What is the formula to find Turning Force on Elementary Ring?

The formula of Turning Force on Elementary Ring is expressed as Turning force = (4*pi*Maximum Shear Stress*(Radius of elementary circular ring^2)*Thickness of ring)/Outer Diameter of Shaft. Here is an example- 1.00531 = (4*pi*16000000*(0.002^2)*0.005)/4.

How to calculate Turning Force on Elementary Ring?

With Maximum Shear Stress (𝜏_max), Radius of elementary circular ring (r), Thickness of ring (b_ring) & Outer Diameter of Shaft (d_outer) we can find Turning Force on Elementary Ring using the formula - Turning force = (4*pi*Maximum Shear Stress*(Radius of elementary circular ring^2)*Thickness of ring)/Outer Diameter of Shaft. This formula also uses Archimedes' constant .

Can the Turning Force on Elementary Ring be negative?

No, the Turning Force on Elementary Ring, measured in Force cannot be negative.

Which unit is used to measure Turning Force on Elementary Ring?

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

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Turning Force on Elementary Ring Formula

Turning Force on Elementary Ring Example

Turning Force on Elementary Ring Solution

Turning Force on Elementary Ring Formula Elements

Other formulas in Torque Transmitted by a Hollow Circular Shaft category

How to Evaluate Turning Force on Elementary Ring?

FAQs on Turning Force on Elementary Ring

Variable Name