Torque Transmission Capacity for Torsional Failure of Hub Calculator

✖Diameter of Hub is usually taken as twice the diameter of shaft and length from 2 to 2.5 times the shaft diameter.ⓘ Diameter of Hub [D]			+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%
✖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.ⓘ Allowable Shear Strength of Coupling Material [f_sc]			+10% -10%

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

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Formula

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Torque Transmission Capacity for Torsional Failure of Hub

Formula

`"T"_{"m"} = (pi/16)*(("D"^4)-("d"_{"shaft"}^4))/("D")*"f"_{"sc"}`

Example

`"439975.6N*mm"=(pi/16)*((("130mm")^4)-(("12mm")^4))/("130mm")*"1.02N/mm²"`

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Torque Transmission Capacity for Torsional Failure of Hub Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Torque = (pi/16)*((Diameter of Hub^4)-(Diameter of Shaft^4))/(Diameter of Hub)*Allowable Shear Strength of Coupling Material
T_m = (pi/16)*((D^4)-(d_shaft^4))/(D)*f_sc
This formula uses 1 Constants, 4 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.
Diameter of Hub - (Measured in Meter) - Diameter of Hub is usually taken as twice the diameter of shaft and length from 2 to 2.5 times the shaft diameter.
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.
Allowable Shear Strength of Coupling Material - (Measured in Pascal) - 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.

STEP 1: Convert Input(s) to Base Unit

Diameter of Hub: 130 Millimeter --> 0.13 Meter (Check conversion here)
Diameter of Shaft: 12 Millimeter --> 0.012 Meter (Check conversion here)
Allowable Shear Strength of Coupling Material: 1.02 Newton per Square Millimeter --> 1020000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_m = (pi/16)*((D^4)-(d_shaft^4))/(D)*f_sc --> (pi/16)*((0.13^4)-(0.012^4))/(0.13)*1020000

Evaluating ... ...

T_m = 439.97559442358

STEP 3: Convert Result to Output's Unit

439.97559442358 Newton Meter -->439975.59442358 Newton Millimeter (Check conversion here)

FINAL ANSWER

439975.59442358 ≈ 439975.6 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

Torque Transmission Capacity for Torsional Failure of Hub Formula

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

What is Flange Coupling?

The purpose of a flange coupling is quite simple. It is a driving coupling between rotating shafts that consists of flanges, one of which is fixed at the end of each shaft. The two flanges bolted together with a ring set of bolts completes the drive connection.

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

Torque Transmission Capacity for Torsional Failure of Hub calculator uses Maximum Torque = (pi/16)*((Diameter of Hub^4)-(Diameter of Shaft^4))/(Diameter of Hub)*Allowable Shear Strength of Coupling Material to calculate 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 calculate Torque Transmission Capacity for Torsional Failure of Hub using this online calculator? To use this online calculator 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. Here is how the Torque Transmission Capacity for Torsional Failure of Hub calculation can be explained with given input values -> 4.4E+8 = (pi/16)*((0.13^4)-(0.012^4))/(0.13)*1020000.

FAQ

What is Torque Transmission Capacity for Torsional Failure of Hub?

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 and is represented as T_m = (pi/16)*((D^4)-(d_shaft^4))/(D)*f_sc or Maximum Torque = (pi/16)*((Diameter of Hub^4)-(Diameter of Shaft^4))/(Diameter of Hub)*Allowable Shear Strength of Coupling Material. Diameter of Hub is usually taken as twice the diameter of shaft and length from 2 to 2.5 times the shaft diameter, Diameter of Shaft is defined as the diameter of the hole in the iron laminations that contains the shaft & 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.

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

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 is calculated using Maximum Torque = (pi/16)*((Diameter of Hub^4)-(Diameter of Shaft^4))/(Diameter of Hub)*Allowable Shear Strength of Coupling Material. To calculate Torque Transmission Capacity for Torsional Failure of Hub, you need Diameter of Hub (D), Diameter of Shaft (d_shaft) & Allowable Shear Strength of Coupling Material (f_sc). With our tool, you need to enter the respective value for Diameter of Hub, Diameter of Shaft & Allowable Shear Strength of Coupling Material 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 Diameter of Hub, Diameter of Shaft & Allowable Shear Strength of Coupling Material. We can use 4 other way(s) to calculate the same, which is/are as follows -

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
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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