Equivalent Twisting Moment for Solid Shaft Calculator

✖Maximum Bending Moment is the algebraic sum of the moments caused by the internal forces on the shaft and it causes the shaft to rotate.ⓘ Maximum Bending Moment [M_m]			+10% -10%
✖Maximum Torque for Agitator refers to the highest amount of rotational force it can generate, typically measured in Newton-meters (Nm), to effectively mix or agitate a given substance or material.ⓘ Maximum Torque for Agitator [T_m]			+10% -10%

✖Equivalent Twisting Moment for Solid Shaft refers to a simplified representation of the combined effect of multiple twisting moments acting on the shaft.ⓘ Equivalent Twisting Moment for Solid Shaft [Te_solidshaft]

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Formula

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Equivalent Twisting Moment for Solid Shaft

Formula

Te solidshaft = (\sqrt{({M m}^{2}) + ({T m}^{2})})

Example

34320.58 N*mm = (\sqrt{({34000 N*mm}^{2}) + ({4680 N*mm}^{2})})

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Equivalent Twisting Moment for Solid Shaft Solution

STEP 0: Pre-Calculation Summary

Formula Used

Equivalent Twisting Moment for Solid Shaft = (sqrt((Maximum Bending Moment^2)+(Maximum Torque for Agitator^2)))
Te_solidshaft = (sqrt((M_m^2)+(T_m^2)))
This formula uses 1 Functions, 3 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Equivalent Twisting Moment for Solid Shaft - (Measured in Newton Meter) - Equivalent Twisting Moment for Solid Shaft refers to a simplified representation of the combined effect of multiple twisting moments acting on the shaft.
Maximum Bending Moment - (Measured in Newton Meter) - Maximum Bending Moment is the algebraic sum of the moments caused by the internal forces on the shaft and it causes the shaft to rotate.
Maximum Torque for Agitator - (Measured in Newton Meter) - Maximum Torque for Agitator refers to the highest amount of rotational force it can generate, typically measured in Newton-meters (Nm), to effectively mix or agitate a given substance or material.

STEP 1: Convert Input(s) to Base Unit

Maximum Bending Moment: 34000 Newton Millimeter --> 34 Newton Meter (Check conversion here)
Maximum Torque for Agitator: 4680 Newton Millimeter --> 4.68 Newton Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Te_solidshaft = (sqrt((M_m^2)+(T_m^2))) --> (sqrt((34^2)+(4.68^2)))

Evaluating ... ...

Te_solidshaft = 34.3205827456353

STEP 3: Convert Result to Output's Unit

34.3205827456353 Newton Meter -->34320.5827456353 Newton Millimeter (Check conversion here)

FINAL ANSWER

34320.5827456353 ≈ 34320.58 Newton Millimeter <-- Equivalent Twisting Moment for Solid Shaft

(Calculation completed in 00.004 seconds)

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< Design of Agitation System Components Calculators

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))

Maximum Torque for Solid Shaft

Go Maximum Torque for Solid Shaft = ((pi/16)*(Diameter of Shaft for Agitator^3)*(Torsional Shear Stress in Shaft))

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)

< Shaft Subjected to Combined Twisting Moment and Bending Moment Calculators

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)

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))

Equivalent Twisting Moment for Solid Shaft

Go Equivalent Twisting Moment for Solid Shaft = (sqrt((Maximum Bending Moment^2)+(Maximum Torque for Agitator^2)))

Equivalent Twisting Moment for Solid Shaft Formula

Equivalent Twisting Moment for Solid Shaft = (sqrt((Maximum Bending Moment^2)+(Maximum Torque for Agitator^2)))
Te_solidshaft = (sqrt((M_m^2)+(T_m^2)))

What is Maximum Shear Stress Theory for Ductile Materials?

Maximum shear stress theory states that yielding will occur when a particular point undergoes a maximum shear stress that is equal to half of the uniaxial yield strength.

How to Calculate Equivalent Twisting Moment for Solid Shaft?

Equivalent Twisting Moment for Solid Shaft calculator uses Equivalent Twisting Moment for Solid Shaft = (sqrt((Maximum Bending Moment^2)+(Maximum Torque for Agitator^2))) to calculate the Equivalent Twisting Moment for Solid Shaft, The Equivalent Twisting Moment for Solid Shaft formula is defined as as the twisting moment that alone produces maximum shear stress equal to the maximum shear stress produce due to combined bending and torsion. Equivalent Twisting Moment for Solid Shaft is denoted by Te_solidshaft symbol.

How to calculate Equivalent Twisting Moment for Solid Shaft using this online calculator? To use this online calculator for Equivalent Twisting Moment for Solid Shaft, enter Maximum Bending Moment (M_m) & Maximum Torque for Agitator (T_m) and hit the calculate button. Here is how the Equivalent Twisting Moment for Solid Shaft calculation can be explained with given input values -> 3.4E+7 = (sqrt((34^2)+(4.68^2))).

FAQ

What is Equivalent Twisting Moment for Solid Shaft?

The Equivalent Twisting Moment for Solid Shaft formula is defined as as the twisting moment that alone produces maximum shear stress equal to the maximum shear stress produce due to combined bending and torsion and is represented as Te_solidshaft = (sqrt((M_m^2)+(T_m^2))) or Equivalent Twisting Moment for Solid Shaft = (sqrt((Maximum Bending Moment^2)+(Maximum Torque for Agitator^2))). Maximum Bending Moment is the algebraic sum of the moments caused by the internal forces on the shaft and it causes the shaft to rotate & Maximum Torque for Agitator refers to the highest amount of rotational force it can generate, typically measured in Newton-meters (Nm), to effectively mix or agitate a given substance or material.

How to calculate Equivalent Twisting Moment for Solid Shaft?

The Equivalent Twisting Moment for Solid Shaft formula is defined as as the twisting moment that alone produces maximum shear stress equal to the maximum shear stress produce due to combined bending and torsion is calculated using Equivalent Twisting Moment for Solid Shaft = (sqrt((Maximum Bending Moment^2)+(Maximum Torque for Agitator^2))). To calculate Equivalent Twisting Moment for Solid Shaft, you need Maximum Bending Moment (M_m) & Maximum Torque for Agitator (T_m). With our tool, you need to enter the respective value for Maximum Bending Moment & Maximum Torque for Agitator 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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