Maximum Bending Moment subject to Shaft Solution

STEP 0: Pre-Calculation Summary
Formula Used
Maximum Bending Moment = Length of Shaft*Force
Mm = l*Fm
This formula uses 3 Variables
Variables Used
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.
Length of Shaft - (Measured in Meter) - Length of Shaft is the distance between two ends of shaft.
Force - (Measured in Newton) - Force is a push or pull upon an object resulting from the object's interaction with another object.
STEP 1: Convert Input(s) to Base Unit
Length of Shaft: 400 Millimeter --> 0.4 Meter (Check conversion here)
Force: 85 Newton --> 85 Newton No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Mm = l*Fm --> 0.4*85
Evaluating ... ...
Mm = 34
STEP 3: Convert Result to Output's Unit
34 Newton Meter -->34000 Newton Millimeter (Check conversion here)
FINAL ANSWER
34000 Newton Millimeter <-- Maximum Bending Moment
(Calculation completed in 00.020 seconds)

Credits

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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)

7 Shaft Subjected to Bending Moment Only Calculators

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)
Bending Stress for Hollow Shaft
Go Bending Stress = Maximum Bending Moment/((pi/32)*(Hollow Shaft Outer Diameter)^(3)*(1-Ratio of Inner to Outer Diameter of Hollow Shaft^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)
Bending Stress for Solid Shaft
Go Bending Stress = (Maximum Bending Moment for Solid Shaft)/((pi/32)*(Diameter of Solid Shaft for Agitator)^3)
Force for Design of Shaft Based on Pure Bending
Go Force = Maximum Torque for Agitator/(0.75*Height of Manometer Liquid)
Maximum Torque of Shaft Subjected to Bending Moment only
Go Maximum Torque for Agitator = Force*(0.75*Radius of Impeller Blade)
Maximum Bending Moment subject to Shaft
Go Maximum Bending Moment = Length of Shaft*Force

Maximum Bending Moment subject to Shaft Formula

Maximum Bending Moment = Length of Shaft*Force
Mm = l*Fm

What is Bending ?

Bending characterizes the behavior of a slender structural element subjected to an external load applied perpendicularly to a longitudinal axis of the element.

How to Calculate Maximum Bending Moment subject to Shaft?

Maximum Bending Moment subject to Shaft calculator uses Maximum Bending Moment = Length of Shaft*Force to calculate the Maximum Bending Moment, The Maximum Bending Moment subject to Shaft formula is defined as the product of the force and and length of shaft between agitator and bearing. Maximum Bending Moment is denoted by Mm symbol.

How to calculate Maximum Bending Moment subject to Shaft using this online calculator? To use this online calculator for Maximum Bending Moment subject to Shaft, enter Length of Shaft (l) & Force (Fm) and hit the calculate button. Here is how the Maximum Bending Moment subject to Shaft calculation can be explained with given input values -> 3.4E+7 = 0.4*85.

FAQ

What is Maximum Bending Moment subject to Shaft?
The Maximum Bending Moment subject to Shaft formula is defined as the product of the force and and length of shaft between agitator and bearing and is represented as Mm = l*Fm or Maximum Bending Moment = Length of Shaft*Force. Length of Shaft is the distance between two ends of shaft & Force is a push or pull upon an object resulting from the object's interaction with another object.
How to calculate Maximum Bending Moment subject to Shaft?
The Maximum Bending Moment subject to Shaft formula is defined as the product of the force and and length of shaft between agitator and bearing is calculated using Maximum Bending Moment = Length of Shaft*Force. To calculate Maximum Bending Moment subject to Shaft, you need Length of Shaft (l) & Force (Fm). With our tool, you need to enter the respective value for Length of Shaft & Force 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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