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Maximum Torque for Hollow Shaft Formula

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Maximum Torque for Hollow Shaftt refers to the highest amount of twisting force that can be applied to the shaft without causing failure or deformation. Check FAQs

Tm hollowshaft = ((\frac{π}{16}) \cdot ({d o}^{3}) \cdot (f s) \cdot (1 - k^{2}))

Tm_hollowshaft - Maximum Torque for Hollow Shaft?d_o - Hollow Shaft Outer Diameter?f_s - Torsional Shear Stress in Shaft?k - Ratio of Inner to Outer Diameter of Hollow Shaft?π - Archimedes' constant?

Maximum Torque for Hollow Shaft Example

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Here is how the Maximum Torque for Hollow Shaft equation looks like with Values.

Here is how the Maximum Torque for Hollow Shaft equation looks like with Units.

Here is how the Maximum Torque for Hollow Shaft equation looks like.

199640.3592 = ((\frac{3.1416}{16}) \cdot (20^{3}) \cdot (458) \cdot (1 - {0.85}^{2}))

199640.3592N*mm = ((\frac{3.1416}{16}) \cdot ({20mm}^{3}) \cdot (458N/mm²) \cdot (1 - {0.85}^{2}))

199640.3592 = ((\frac{3.1416}{16}) \cdot (20^{3}) \cdot (458) \cdot (1 - {0.85}^{2}))

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Maximum Torque for Hollow Shaft Solution

Follow our step by step solution on how to calculate Maximum Torque for Hollow Shaft?

FIRST Step Consider the formula

Tm hollowshaft = ((\frac{π}{16}) \cdot ({d o}^{3}) \cdot (f s) \cdot (1 - k^{2}))

Next Step Substitute values of Variables

∴

Tm hollowshaft = ((\frac{π}{16}) \cdot ({20mm}^{3}) \cdot (458N/mm²) \cdot (1 - {0.85}^{2}))

Next Step Substitute values of Constants

∴

Tm hollowshaft = ((\frac{3.1416}{16}) \cdot ({20mm}^{3}) \cdot (458N/mm²) \cdot (1 - {0.85}^{2}))

Next Step Convert Units

∴

Tm hollowshaft = ((\frac{3.1416}{16}) \cdot ({0.02m}^{3}) \cdot (4.6E+8Pa) \cdot (1 - {0.85}^{2}))

Next Step Prepare to Evaluate

∴

Tm hollowshaft = ((\frac{3.1416}{16}) \cdot ({0.02}^{3}) \cdot (4.6E+8) \cdot (1 - {0.85}^{2}))

Next Step Evaluate

∴

Tm hollowshaft = 199.640359153997N*m

Next Step Convert to Output's Unit

∴

Tm hollowshaft = 199640.359153997N*mm

LAST Step Rounding Answer

∴

Tm hollowshaft = 199640.3592N*mm

Maximum Torque for Hollow Shaft Formula Elements

Variables

Constants

Maximum Torque for Hollow Shaft

Maximum Torque for Hollow Shaftt refers to the highest amount of twisting force that can be applied to the shaft without causing failure or deformation.

Symbol: Tm_hollowshaft

Measurement: TorqueUnit: N*mm

Note: Value can be positive or negative.

Formulas to find Maximum Torque for Hollow Shaft

Hollow Shaft Outer Diameter

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

Symbol: d_o

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Hollow Shaft Outer Diameter

Torsional Shear Stress in Shaft

Torsional Shear Stress in Shaft is the shear stress produced in the shaft due to the twisting.

Symbol: f_s

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Torsional Shear Stress in Shaft

Ratio of Inner to Outer Diameter of Hollow Shaft

The Ratio of Inner to Outer Diameter of Hollow Shaft is defined as the inner diameter of the shaft divided by the outer diameter.

Symbol: k

Measurement: NAUnit: Unitless

Note: Value should be less than 1.

Formulas to find Ratio of Inner to Outer Diameter of Hollow 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 Design of Agitation System Components category

Go Rated Motor Torque

T r = (\frac{P \cdot 4500}{2 \cdot π \cdot N})

Go Maximum Torque for Solid Shaft

Tm solidshaft = ((\frac{π}{16}) \cdot (d^{3}) \cdot (f s))

Go Force for Design of Shaft Based on Pure Bending

F m = \frac{T m}{0.75 \cdot h m}

Go Maximum Bending Moment subject to Shaft

M m = l \cdot F m

How to Evaluate Maximum Torque for Hollow Shaft?

Maximum Torque for Hollow Shaft evaluator uses Maximum Torque for Hollow Shaft = ((pi/16)*(Hollow Shaft Outer Diameter^3)*(Torsional Shear Stress in Shaft)*(1-Ratio of Inner to Outer Diameter of Hollow Shaft^2)) to evaluate the Maximum Torque for Hollow Shaft, Maximum Torque for Hollow Shaft means the highest value of the net torque measured at full engine load. Maximum Torque for Hollow Shaft is denoted by Tm_hollowshaft symbol.

How to evaluate Maximum Torque for Hollow Shaft using this online evaluator? To use this online evaluator for Maximum Torque for Hollow Shaft, enter Hollow Shaft Outer Diameter (d_o), Torsional Shear Stress in Shaft (f_s) & Ratio of Inner to Outer Diameter of Hollow Shaft (k) and hit the calculate button.

FAQs on Maximum Torque for Hollow Shaft

What is the formula to find Maximum Torque for Hollow Shaft?

The formula of Maximum Torque for Hollow Shaft is expressed as Maximum Torque for Hollow Shaft = ((pi/16)*(Hollow Shaft Outer Diameter^3)*(Torsional Shear Stress in Shaft)*(1-Ratio of Inner to Outer Diameter of Hollow Shaft^2)). Here is an example- 2E+8 = ((pi/16)*(0.02^3)*(458000000)*(1-0.85^2)).

How to calculate Maximum Torque for Hollow Shaft?

With Hollow Shaft Outer Diameter (d_o), Torsional Shear Stress in Shaft (f_s) & Ratio of Inner to Outer Diameter of Hollow Shaft (k) we can find Maximum Torque for Hollow Shaft using the formula - Maximum Torque for Hollow Shaft = ((pi/16)*(Hollow Shaft Outer Diameter^3)*(Torsional Shear Stress in Shaft)*(1-Ratio of Inner to Outer Diameter of Hollow Shaft^2)). This formula also uses Archimedes' constant .

Can the Maximum Torque for Hollow Shaft be negative?

Yes, the Maximum Torque for Hollow Shaft, measured in Torque can be negative.

Which unit is used to measure Maximum Torque for Hollow Shaft?

Maximum Torque for Hollow Shaft is usually measured using the Newton Millimeter[N*mm] for Torque. Newton Meter[N*mm], Newton Centimeter[N*mm], Kilonewton Meter[N*mm] are the few other units in which Maximum Torque for Hollow Shaft can be measured.

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