Maximum Torque for Hollow Shaft Solution

STEP 0: Pre-Calculation Summary
Formula Used
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))
Tmhollowshaft = ((pi/16)*(do^3)*(fs)*(1-k^2))
This formula uses 1 Constants, 4 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Maximum Torque for Hollow Shaft - (Measured in Newton Meter) - 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.
Hollow Shaft Outer Diameter - (Measured in Meter) - Hollow Shaft Outer Diameter is defined as the length of the longest chord of the surface of the hollow circular shaft.
Torsional Shear Stress in Shaft - (Measured in Pascal) - Torsional Shear Stress in Shaft is the shear stress produced in the shaft due to the twisting.
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.
STEP 1: Convert Input(s) to Base Unit
Hollow Shaft Outer Diameter: 20 Millimeter --> 0.02 Meter (Check conversion here)
Torsional Shear Stress in Shaft: 458 Newton per Square Millimeter --> 458000000 Pascal (Check conversion here)
Ratio of Inner to Outer Diameter of Hollow Shaft: 0.85 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Tmhollowshaft = ((pi/16)*(do^3)*(fs)*(1-k^2)) --> ((pi/16)*(0.02^3)*(458000000)*(1-0.85^2))
Evaluating ... ...
Tmhollowshaft = 199.640359153997
STEP 3: Convert Result to Output's Unit
199.640359153997 Newton Meter -->199640.359153997 Newton Millimeter (Check conversion here)
FINAL ANSWER
199640.359153997 199640.4 Newton Millimeter <-- Maximum Torque for Hollow Shaft
(Calculation completed in 00.004 seconds)

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18 Design of Agitation System Components Calculators

Outside Diameter of Hollow Shaft based on Equivalent Twisting Moment
Go Hollow Shaft Outer Diameter = ((Equivalent Twisting Moment)*(16/pi)*(1)/((Torsional Shear Stress in Shaft)*(1-Ratio of Inner to Outer Diameter of Hollow Shaft^4)))^(1/3)
Maximum Deflection due to Shaft with Uniform Weight
Go Deflection = (Uniformly Distributed Load per Unit Length*Length^(4))/((8*Modulus of Elasticity)*(pi/64)*Diameter of Shaft for Agitator^(4))
Maximum Torque for Hollow Shaft
Go 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))
Outside Diameter of Hollow Shaft based on Equivalent Bending Moment
Go Diameter of Hollow Shaft for Agitator = ((Equivalent Bending Moment)*(32/pi)*(1)/((Bending Stress)*(1-Ratio of Inner to Outer Diameter of Hollow Shaft^4)))^(1/3)
Maximum Deflection due to Each Load
Go Deflection due to each Load = (Concentrated Load*Length^(3))/((3*Modulus of Elasticity)*(pi/64)*Diameter of Shaft for Agitator^(4))
Equivalent Twisting Moment for Hollow Shaft
Go Equivalent Twisting Moment for Hollow Shaft = (pi/16)*(Bending Stress)*(Hollow Shaft Outer Diameter ^3)*(1-Ratio of Inner to Outer Diameter of Hollow Shaft^4)
Equivalent Bending Moment for Hollow Shaft
Go Equivalent Bending Moment for Hollow Shaft = (pi/32)*(Bending Stress)*(Hollow Shaft Outer Diameter ^3)*(1-Ratio of Inner to Outer Diameter of Hollow Shaft^4)
Diameter of Hollow Shaft Subjected to Maximum Bending Moment
Go Hollow Shaft Outer Diameter = (Maximum Bending Moment/((pi/32)*(Bending Stress)*(1-Ratio of Inner to Outer Diameter of Hollow Shaft^2)))^(1/3)
Equivalent Bending Moment for Solid Shaft
Go Equivalent Bending Moment for Solid Shaft = (1/2)*(Maximum Bending Moment+sqrt(Maximum Bending Moment^2+Maximum Torque for Agitator^2))
Diameter of Solid Shaft Subjected to Maximum Bending Moment
Go Diameter of Solid Shaft for Agitator = ((Maximum Bending Moment for Solid Shaft)/((pi/32)*Bending Stress))^(1/3)
Maximum Torque for Solid Shaft
Go Maximum Torque for Solid Shaft = ((pi/16)*(Diameter of Shaft for Agitator^3)*(Torsional Shear Stress in Shaft))
Equivalent Twisting Moment for Solid Shaft
Go Equivalent Twisting Moment for Solid Shaft = (sqrt((Maximum Bending Moment^2)+(Maximum Torque for Agitator^2)))
Diameter of Solid Shaft based on Equivalent Twisting Moment
Go Diameter of Solid Shaft = (Equivalent Twisting Moment*16/pi*1/Torsional Shear Stress in Shaft)^(1/3)
Diameter of Solid Shaft based on Equivalent Bending Moment
Go Diameter of Solid Shaft for Agitator = (Equivalent Bending Moment*32/pi*1/Bending Stress)^(1/3)
Rated Motor Torque
Go Rated Motor Torque = ((Power*4500)/(2*pi*Speed of Agitator))
Force for Design of Shaft Based on Pure Bending
Go Force = Maximum Torque for Agitator/(0.75*Height of Manometer Liquid)
Maximum Bending Moment subject to Shaft
Go Maximum Bending Moment = Length of Shaft*Force
Critical Speed for Each Deflection
Go Critical Speed = 946/sqrt(Deflection)

Maximum Torque for Hollow Shaft 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))
Tmhollowshaft = ((pi/16)*(do^3)*(fs)*(1-k^2))

What is Shaft?

A shaft is a rotating machine element, usually circular in cross section, which is used to transmit power from one part to another, or from a machine which produces power to a machine which absorbs power.

How to Calculate Maximum Torque for Hollow Shaft?

Maximum Torque for Hollow Shaft calculator 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 calculate 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 Tmhollowshaft symbol.

How to calculate Maximum Torque for Hollow Shaft using this online calculator? To use this online calculator for Maximum Torque for Hollow Shaft, enter Hollow Shaft Outer Diameter (do), Torsional Shear Stress in Shaft (fs) & Ratio of Inner to Outer Diameter of Hollow Shaft (k) and hit the calculate button. Here is how the Maximum Torque for Hollow Shaft calculation can be explained with given input values -> 2E+8 = ((pi/16)*(0.02^3)*(458000000)*(1-0.85^2)).

FAQ

What is Maximum Torque for Hollow Shaft?
Maximum Torque for Hollow Shaft means the highest value of the net torque measured at full engine load and is represented as Tmhollowshaft = ((pi/16)*(do^3)*(fs)*(1-k^2)) or 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)). Hollow Shaft Outer Diameter is defined as the length of the longest chord of the surface of the hollow circular shaft, Torsional Shear Stress in Shaft is the shear stress produced in the shaft due to the twisting & The Ratio of Inner to Outer Diameter of Hollow Shaft is defined as the inner diameter of the shaft divided by the outer diameter.
How to calculate Maximum Torque for Hollow Shaft?
Maximum Torque for Hollow Shaft means the highest value of the net torque measured at full engine load is calculated using 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 calculate Maximum Torque for Hollow Shaft, you need Hollow Shaft Outer Diameter (do), Torsional Shear Stress in Shaft (fs) & Ratio of Inner to Outer Diameter of Hollow Shaft (k). With our tool, you need to enter the respective value for Hollow Shaft Outer Diameter, Torsional Shear Stress in Shaft & Ratio of Inner to Outer Diameter of Hollow Shaft and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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