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Maximum Torque Transmission Capacity of Coupling Formula

GoTorque Transmission Capacity for Torsional Failure of Hub Formula

GoMaximum Torque for Shear 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)}^{2}}{16}) \cdot μ \cdot n \cdot d shaft \cdot d b \cdot f t

T_m - Maximum Torque?μ - Coefficient of Friction between Muff and Shaft?n - Number of Bolts?d_shaft - Diameter of Shaft?d_b - Diameter of Bolt?f_t - Tensile Stress?π - Archimedes' constant?

Maximum Torque Transmission Capacity of Coupling Example

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Here is how the Maximum Torque Transmission Capacity of Coupling equation looks like with Values.

Here is how the Maximum Torque Transmission Capacity of Coupling equation looks like with Units.

Here is how the Maximum Torque Transmission Capacity of Coupling equation looks like.

1.5E+6 = (\frac{{(3.1416)}^{2}}{16}) \cdot 0.3 \cdot 3 \cdot 12 \cdot 21 \cdot 11

1.5E+6N*mm = (\frac{{(3.1416)}^{2}}{16}) \cdot 0.3 \cdot 3 \cdot 12mm \cdot 21mm \cdot 11N/mm²

1.5E+6 = (\frac{{(3.1416)}^{2}}{16}) \cdot 0.3 \cdot 3 \cdot 12 \cdot 21 \cdot 11

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Maximum Torque Transmission Capacity of Coupling Solution

Follow our step by step solution on how to calculate Maximum Torque Transmission Capacity of Coupling?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

T m = (\frac{{(π)}^{2}}{16}) \cdot 0.3 \cdot 3 \cdot 12mm \cdot 21mm \cdot 11N/mm²

Next Step Substitute values of Constants

∴

T m = (\frac{{(3.1416)}^{2}}{16}) \cdot 0.3 \cdot 3 \cdot 12mm \cdot 21mm \cdot 11N/mm²

Next Step Convert Units

∴

T m = (\frac{{(3.1416)}^{2}}{16}) \cdot 0.3 \cdot 3 \cdot 0.012m \cdot 0.021m \cdot 1.1E+7Pa

Next Step Prepare to Evaluate

∴

T m = (\frac{{(3.1416)}^{2}}{16}) \cdot 0.3 \cdot 3 \cdot 0.012 \cdot 0.021 \cdot 1.1E+7

Next Step Evaluate

∴

T m = 1538.91806623986N*m

Next Step Convert to Output's Unit

∴

T m = 1538918.06623986N*mm

LAST Step Rounding Answer

∴

T m = 1.5E+6N*mm

Maximum Torque Transmission Capacity of Coupling 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

Coefficient of Friction between Muff and Shaft

Coefficient of Friction between Muff and Shaft (COF) is a dimensionless number that is defined as the ratio between friction force and normal force.

Symbol: μ

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Coefficient of Friction between Muff and Shaft

Number of Bolts

Number of Bolts is simply defined as the number of bolts that are under our consideration.

Symbol: n

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Bolts

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

Diameter of Bolt

Diameter of Bolt is the distance from the outer thread on one side to the outer thread on the other side. This is called the major diameter and will usually be the proper size of the bolt.

Symbol: d_b

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Bolt

Tensile Stress

Tensile Stress is the elongation of the material when a stretching force is applied along with the axis of applied force.

Symbol: f_t

Measurement: PressureUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Tensile Stress

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 Torque Transmission Capacity for Torsional Failure of Hub

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

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 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 Maximum Torque Transmission Capacity of Coupling?

Maximum Torque Transmission Capacity of Coupling evaluator uses Maximum Torque = ((pi)^(2)/16)*Coefficient of Friction between Muff and Shaft*Number of Bolts*Diameter of Shaft*Diameter of Bolt*Tensile Stress to evaluate the Maximum Torque, Maximum Torque Transmission Capacity of Coupling formula is mechanism connected to one shaft while the coupling hub is connected to a second supported shaft, which are connected via the supplied set screws and a key. Each shaft have to be aligned accurately in order to prevent a premature failure of the coupling. Maximum Torque is denoted by T_m symbol.

How to evaluate Maximum Torque Transmission Capacity of Coupling using this online evaluator? To use this online evaluator for Maximum Torque Transmission Capacity of Coupling, enter Coefficient of Friction between Muff and Shaft (μ), Number of Bolts (n), Diameter of Shaft (d_shaft), Diameter of Bolt (d_b) & Tensile Stress (f_t) and hit the calculate button.

FAQs on Maximum Torque Transmission Capacity of Coupling

What is the formula to find Maximum Torque Transmission Capacity of Coupling?

The formula of Maximum Torque Transmission Capacity of Coupling is expressed as Maximum Torque = ((pi)^(2)/16)*Coefficient of Friction between Muff and Shaft*Number of Bolts*Diameter of Shaft*Diameter of Bolt*Tensile Stress. Here is an example- 1.5E+9 = ((pi)^(2)/16)*0.3*3*0.012*0.021*11000000.

How to calculate Maximum Torque Transmission Capacity of Coupling?

With Coefficient of Friction between Muff and Shaft (μ), Number of Bolts (n), Diameter of Shaft (d_shaft), Diameter of Bolt (d_b) & Tensile Stress (f_t) we can find Maximum Torque Transmission Capacity of Coupling using the formula - Maximum Torque = ((pi)^(2)/16)*Coefficient of Friction between Muff and Shaft*Number of Bolts*Diameter of Shaft*Diameter of Bolt*Tensile Stress. 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/16)*((Diameter of Hub^4)-(Diameter of Shaft^4))/(Diameter of Hub)*Allowable Shear Strength of Coupling Material
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)

Can the Maximum Torque Transmission Capacity of Coupling be negative?

No, the Maximum Torque Transmission Capacity of Coupling, measured in Torque cannot be negative.

Which unit is used to measure Maximum Torque Transmission Capacity of Coupling?

Maximum Torque Transmission Capacity of Coupling 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 Transmission Capacity of Coupling can be measured.

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Maximum Torque Transmission Capacity of Coupling Formula

​GoTorque Transmission Capacity for Torsional Failure of Hub Formula

​GoMaximum Torque for Shear Failure of Bolt Formula

Maximum Torque Transmission Capacity of Coupling Example

Maximum Torque Transmission Capacity of Coupling Solution

Maximum Torque Transmission Capacity of Coupling Formula Elements

Other Formulas to find Maximum Torque

Other formulas in Shaft Couplings category

How to Evaluate Maximum Torque Transmission Capacity of Coupling?

FAQs on Maximum Torque Transmission Capacity of Coupling

Variable Name

GoTorque Transmission Capacity for Torsional Failure of Hub Formula

GoMaximum Torque for Shear Failure of Bolt Formula