Maximum Torque Transmission Capacity of Coupling Calculator

✖Coefficient of Friction between Muff and Shaft (COF) is a dimensionless number that is defined as the ratio between friction force and normal force.ⓘ Coefficient of Friction between Muff and Shaft [μ]			+10% -10%
✖Number of Bolts is simply defined as the number of bolts that are under our consideration.ⓘ Number of Bolts [n]			+10% -10%
✖Diameter of Shaft is defined as the diameter of the hole in the iron laminations that contains the shaft.ⓘ Diameter of Shaft [d_shaft]			+10% -10%
✖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.ⓘ Diameter of Bolt [d_b]			+10% -10%
✖Tensile Stress is the elongation of the material when a stretching force is applied along with the axis of applied force.ⓘ Tensile Stress [f_t]			+10% -10%

✖Maximum torque means the highest value of the net torque measured at full engine load.ⓘ Maximum Torque Transmission Capacity of Coupling [T_m]

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Formula

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Maximum Torque Transmission Capacity of Coupling

Formula

`"T"_{"m"} = ((pi)^(2)/16)*"μ"*"n"*"d"_{"shaft"}*"d"_{"b"}*"f"_{"t"}`

Example

`"1.5E^6N*mm"=((pi)^(2)/16)*"0.3"*"3"*"12mm"*"21mm"*"11N/mm²"`

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Maximum Torque Transmission Capacity of Coupling Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Torque = ((pi)^(2)/16)*Coefficient of Friction between Muff and Shaft*Number of Bolts*Diameter of Shaft*Diameter of Bolt*Tensile Stress
T_m = ((pi)^(2)/16)*μ*n*d_shaft*d_b*f_t
This formula uses 1 Constants, 6 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Maximum Torque - (Measured in Newton Meter) - Maximum torque means the highest value of the net torque measured at full engine load.
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.
Number of Bolts - Number of Bolts is simply defined as the number of bolts that are under our consideration.
Diameter of Shaft - (Measured in Meter) - Diameter of Shaft is defined as the diameter of the hole in the iron laminations that contains the shaft.
Diameter of Bolt - (Measured in Meter) - 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.
Tensile Stress - (Measured in Pascal) - Tensile Stress is the elongation of the material when a stretching force is applied along with the axis of applied force.

STEP 1: Convert Input(s) to Base Unit

Coefficient of Friction between Muff and Shaft: 0.3 --> No Conversion Required
Number of Bolts: 3 --> No Conversion Required
Diameter of Shaft: 12 Millimeter --> 0.012 Meter (Check conversion here)
Diameter of Bolt: 21 Millimeter --> 0.021 Meter (Check conversion here)
Tensile Stress: 11 Newton per Square Millimeter --> 11000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_m = ((pi)^(2)/16)*μ*n*d_shaft*d_b*f_t --> ((pi)^(2)/16)*0.3*3*0.012*0.021*11000000

Evaluating ... ...

T_m = 1538.91806623986

STEP 3: Convert Result to Output's Unit

1538.91806623986 Newton Meter -->1538918.06623986 Newton Millimeter (Check conversion here)

FINAL ANSWER

1538918.06623986 ≈ 1.5E+6 Newton Millimeter <-- Maximum Torque

(Calculation completed in 00.004 seconds)

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< 15 Shaft Couplings Calculators

Maximum Torque Transmission Capacity of Coupling

Go Maximum Torque = ((pi)^(2)/16)*Coefficient of Friction between Muff and Shaft*Number of Bolts*Diameter of Shaft*Diameter of Bolt*Tensile Stress

Allowable Crushing Strength of Bolt

Go Allowable Crushing Strength of the Bolt Material = Maximum Torque*1/(Number of Bolts*Diameter of Bolt*Thickness of Flange)*(2/Pitch Circle Diameter of Bolts)

Maximum Torque for Crushing Failure of Bolt

Go Maximum Torque = Number of Bolts*Diameter of Bolt*Thickness of Flange*Allowable Crushing Strength of the Bolt Material*(Pitch Circle Diameter of Bolts/2)

Allowable Shear Strength of Bolt

Go Allowable Shear Strength of Bolt Material = Maximum Torque*(4/pi)*(1/((Diameter of Bolt^2)*Number of Bolts))*(2/Pitch Circle Diameter of Bolts)

Maximum Torque Transmission Capacity of Coupling under Bearing Pressure

Go Maximum Torque = Number of Bolts*Bearing Pressure on the Bush*Diameter of Bush*Length of Bush in the Flange*(Pitch Circle Diameter of Bolts/2)

Maximum Torque for Shear Failure of Bolt

Go Maximum Torque = (pi/4)*(Diameter of Bolt^2)*Number of Bolts*Allowable Shear Strength of Bolt Material*(Pitch Circle Diameter of Bolts/2)

Torque Transmission Capacity for Torsional Failure of Hub

Go Maximum Torque = (pi/16)*((Diameter of Hub^4)-(Diameter of Shaft^4))/(Diameter of Hub)*Allowable Shear Strength of Coupling Material

Allowable Shear Strength of Coupling Material

Go Allowable Shear Strength of Coupling Material = Maximum Torque*(16/pi)*(Diameter of Hub)/((Diameter of Hub^4)-(Diameter of Shaft^4))

Diameter of Bolt

Go Diameter of Bolt = 0.5*Shaft Diameter/sqrt(Number of Bolts)

Thickness of Protective Circumferential Flange

Go Thickness of Protective Circumferential Flange = 0.25*Shaft Diameter

Pitch Circle Diameter of Bolts

Go Pitch Circle Diameter of Bolts = 3*Shaft Diameter

Outside Diameter of Flange

Go Outside Diameter of Flange = 4*Shaft Diameter

Number of Bolts Given Diameter

Go Number of Bolts = (Shaft Diameter/50)+3

Diameter of Hub

Go Diameter of Hub = 2*Shaft Diameter

Length of Hub

Go Length of Hub = 1.5*Shaft Diameter

Maximum Torque Transmission Capacity of Coupling Formula

Maximum Torque = ((pi)^(2)/16)*Coefficient of Friction between Muff and Shaft*Number of Bolts*Diameter of Shaft*Diameter of Bolt*Tensile Stress
T_m = ((pi)^(2)/16)*μ*n*d_shaft*d_b*f_t

What is Coupling?

A coupling is a device used to connect two shafts together at their ends for the purpose of transmitting power. The primary purpose of couplings is to join two pieces of rotating equipment while permitting some degree of misalignment or end movement or both. In a more general context, a coupling can also be a mechanical device that serves to connect the ends of adjacent parts or objects.

How to Calculate Maximum Torque Transmission Capacity of Coupling?

Maximum Torque Transmission Capacity of Coupling calculator 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 calculate 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 calculate Maximum Torque Transmission Capacity of Coupling using this online calculator? To use this online calculator 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. Here is how the Maximum Torque Transmission Capacity of Coupling calculation can be explained with given input values -> 1.5E+9 = ((pi)^(2)/16)*0.3*3*0.012*0.021*11000000.

FAQ

What is Maximum Torque Transmission Capacity of Coupling?

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 and is represented as T_m = ((pi)^(2)/16)*μ*n*d_shaft*d_b*f_t or Maximum Torque = ((pi)^(2)/16)*Coefficient of Friction between Muff and Shaft*Number of Bolts*Diameter of Shaft*Diameter of Bolt*Tensile Stress. Coefficient of Friction between Muff and Shaft (COF) is a dimensionless number that is defined as the ratio between friction force and normal force, Number of Bolts is simply defined as the number of bolts that are under our consideration, Diameter of Shaft is defined as the diameter of the hole in the iron laminations that contains the shaft, 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 & Tensile Stress is the elongation of the material when a stretching force is applied along with the axis of applied force.

How to calculate Maximum Torque Transmission Capacity of Coupling?

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 is calculated using Maximum Torque = ((pi)^(2)/16)*Coefficient of Friction between Muff and Shaft*Number of Bolts*Diameter of Shaft*Diameter of Bolt*Tensile Stress. To calculate Maximum Torque Transmission Capacity of Coupling, you need 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). With our tool, you need to enter the respective value for Coefficient of Friction between Muff and Shaft, Number of Bolts, Diameter of Shaft, Diameter of Bolt & Tensile Stress and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Maximum Torque?

In this formula, Maximum Torque uses Coefficient of Friction between Muff and Shaft, Number of Bolts, Diameter of Shaft, Diameter of Bolt & Tensile Stress. We can use 4 other way(s) to calculate the same, which is/are as follows -

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)
Maximum Torque = Number of Bolts*Bearing Pressure on the Bush*Diameter of Bush*Length of Bush in the Flange*(Pitch Circle Diameter of Bolts/2)

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