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Torque Transmission Capacity for Torsional Failure of Hub Formula

GoMaximum Torque for Shear Failure of Bolt Formula

GoMaximum Torque for Crushing Failure of Bolt Formula

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Maximum torque means the highest value of the net torque measured at full engine load. Check FAQs

T m = (\frac{π}{16}) \cdot \frac{(D^{4}) - ({d shaft}^{4})}{D} \cdot f sc

T_m - Maximum Torque?D - Diameter of Hub?d_shaft - Diameter of Shaft?f_sc - Allowable Shear Strength of Coupling Material?π - Archimedes' constant?

Torque Transmission Capacity for Torsional Failure of Hub Example

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Here is how the Torque Transmission Capacity for Torsional Failure of Hub equation looks like with Values.

Here is how the Torque Transmission Capacity for Torsional Failure of Hub equation looks like with Units.

Here is how the Torque Transmission Capacity for Torsional Failure of Hub equation looks like.

439975.5944 = (\frac{3.1416}{16}) \cdot \frac{(130^{4}) - (12^{4})}{130} \cdot 1.02

439975.5944N*mm = (\frac{3.1416}{16}) \cdot \frac{({130mm}^{4}) - ({12mm}^{4})}{130mm} \cdot 1.02N/mm²

439975.5944 = (\frac{3.1416}{16}) \cdot \frac{(130^{4}) - (12^{4})}{130} \cdot 1.02

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Torque Transmission Capacity for Torsional Failure of Hub Solution

Follow our step by step solution on how to calculate Torque Transmission Capacity for Torsional Failure of Hub?

FIRST Step Consider the formula

T m = (\frac{π}{16}) \cdot \frac{(D^{4}) - ({d shaft}^{4})}{D} \cdot f sc

Next Step Substitute values of Variables

∴

T m = (\frac{π}{16}) \cdot \frac{({130mm}^{4}) - ({12mm}^{4})}{130mm} \cdot 1.02N/mm²

Next Step Substitute values of Constants

∴

T m = (\frac{3.1416}{16}) \cdot \frac{({130mm}^{4}) - ({12mm}^{4})}{130mm} \cdot 1.02N/mm²

Next Step Convert Units

∴

T m = (\frac{3.1416}{16}) \cdot \frac{({0.13m}^{4}) - ({0.012m}^{4})}{0.13m} \cdot 1E+6Pa

Next Step Prepare to Evaluate

∴

T m = (\frac{3.1416}{16}) \cdot \frac{({0.13}^{4}) - ({0.012}^{4})}{0.13} \cdot 1E+6

Next Step Evaluate

∴

T m = 439.97559442358N*m

Next Step Convert to Output's Unit

∴

T m = 439975.59442358N*mm

LAST Step Rounding Answer

∴

T m = 439975.5944N*mm

Torque Transmission Capacity for Torsional Failure of Hub Formula Elements

Variables

Constants

Maximum Torque

Maximum torque means the highest value of the net torque measured at full engine load.

Symbol: T_m

Measurement: TorqueUnit: N*mm

Note: Value should be greater than 0.

Formulas to find Maximum Torque

Diameter of Hub

Diameter of Hub is usually taken as twice the diameter of shaft and length from 2 to 2.5 times the shaft diameter.

Symbol: D

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Hub

Diameter of Shaft

Diameter of Shaft is defined as the diameter of the hole in the iron laminations that contains the shaft.

Symbol: d_shaft

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Shaft

Allowable Shear Strength of Coupling Material

Allowable Shear Strength of Coupling Material is the value obtained from coupling material experimental data. In addition, the value is slightly different for each material.

Symbol: f_sc

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Allowable Shear Strength of Coupling Material

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 to find Maximum Torque

Go Maximum Torque for Shear Failure of Bolt

T m = (\frac{π}{4}) \cdot ({d b}^{2}) \cdot n \cdot f sb \cdot (\frac{D 1}{2})

Go Maximum Torque for Crushing Failure of Bolt

T m = n \cdot d b \cdot t f \cdot f cb \cdot (\frac{D 1}{2})

Go Maximum Torque Transmission Capacity of Coupling

T m = (\frac{{(π)}^{2}}{16}) \cdot μ \cdot n \cdot d shaft \cdot d b \cdot f t

Go Maximum Torque Transmission Capacity of Coupling under Bearing Pressure

T m = n \cdot p b \cdot d B \cdot l B \cdot (\frac{D 1}{2})

Other formulas in Shaft Couplings category

Go Allowable Shear Strength of Coupling Material

f sc = T m \cdot (\frac{16}{π}) \cdot \frac{D}{(D^{4}) - ({d shaft}^{4})}

Go Allowable Shear Strength of Bolt

f sb = T m \cdot (\frac{4}{π}) \cdot (\frac{1}{({d b}^{2}) \cdot n}) \cdot (\frac{2}{D 1})

Go Allowable Crushing Strength of Bolt

f cb = T m \cdot \frac{1}{n \cdot d b \cdot t f} \cdot (\frac{2}{D 1})

Go Diameter of Hub

D = 2 \cdot d

How to Evaluate Torque Transmission Capacity for Torsional Failure of Hub?

Torque Transmission Capacity for Torsional Failure of Hub evaluator uses Maximum Torque = (pi/16)*((Diameter of Hub^4)-(Diameter of Shaft^4))/(Diameter of Hub)*Allowable Shear Strength of Coupling Material to evaluate the Maximum Torque, Torque Transmission Capacity for Torsional Failure of Hub is when clearance between the side of the key and keyway is sufficient for microscopic movement if there is not enough interference fit. Even then, low levels of torsional vibration will cause movement. Torsional failure of the hub can be checked by considering its torque transmission capacity. Maximum Torque is denoted by T_m symbol.

How to evaluate Torque Transmission Capacity for Torsional Failure of Hub using this online evaluator? To use this online evaluator for Torque Transmission Capacity for Torsional Failure of Hub, enter Diameter of Hub (D), Diameter of Shaft (d_shaft) & Allowable Shear Strength of Coupling Material (f_sc) and hit the calculate button.

FAQs on Torque Transmission Capacity for Torsional Failure of Hub

What is the formula to find Torque Transmission Capacity for Torsional Failure of Hub?

The formula of Torque Transmission Capacity for Torsional Failure of Hub is expressed as Maximum Torque = (pi/16)*((Diameter of Hub^4)-(Diameter of Shaft^4))/(Diameter of Hub)*Allowable Shear Strength of Coupling Material. Here is an example- 4.4E+8 = (pi/16)*((0.13^4)-(0.012^4))/(0.13)*1020000.

How to calculate Torque Transmission Capacity for Torsional Failure of Hub?

With Diameter of Hub (D), Diameter of Shaft (d_shaft) & Allowable Shear Strength of Coupling Material (f_sc) we can find Torque Transmission Capacity for Torsional Failure of Hub using the formula - Maximum Torque = (pi/16)*((Diameter of Hub^4)-(Diameter of Shaft^4))/(Diameter of Hub)*Allowable Shear Strength of Coupling Material. This formula also uses Archimedes' constant .

What are the other ways to Calculate Maximum Torque?

Here are the different ways to Calculate Maximum Torque-

Maximum Torque=(pi/4)*(Diameter of Bolt^2)*Number of Bolts*Allowable Shear Strength of Bolt Material*(Pitch Circle Diameter of Bolts/2)
Maximum Torque=Number of Bolts*Diameter of Bolt*Thickness of Flange*Allowable Crushing Strength of the Bolt Material*(Pitch Circle Diameter of Bolts/2)
Maximum Torque=((pi)^(2)/16)*Coefficient of Friction between Muff and Shaft*Number of Bolts*Diameter of Shaft*Diameter of Bolt*Tensile Stress

Can the Torque Transmission Capacity for Torsional Failure of Hub be negative?

No, the Torque Transmission Capacity for Torsional Failure of Hub, measured in Torque cannot be negative.

Which unit is used to measure Torque Transmission Capacity for Torsional Failure of Hub?

Torque Transmission Capacity for Torsional Failure of Hub 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 Torque Transmission Capacity for Torsional Failure of Hub can be measured.

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Torque Transmission Capacity for Torsional Failure of Hub Formula

​GoMaximum Torque for Shear Failure of Bolt Formula

​GoMaximum Torque for Crushing Failure of Bolt Formula

Torque Transmission Capacity for Torsional Failure of Hub Example

Torque Transmission Capacity for Torsional Failure of Hub Solution

Torque Transmission Capacity for Torsional Failure of Hub Formula Elements

Other Formulas to find Maximum Torque

Other formulas in Shaft Couplings category

How to Evaluate Torque Transmission Capacity for Torsional Failure of Hub?

FAQs on Torque Transmission Capacity for Torsional Failure of Hub

Variable Name

GoMaximum Torque for Shear Failure of Bolt Formula

GoMaximum Torque for Crushing Failure of Bolt Formula