Force for Design of Shaft Based on Pure Bending Solution

STEP 0: Pre-Calculation Summary
Formula Used
Force = Maximum Torque for Agitator/(0.75*Height of Manometer Liquid)
Fm = Tm/(0.75*hm)
This formula uses 3 Variables
Variables Used
Force - (Measured in Newton) - Force is a push or pull upon an object resulting from the object's interaction with another object.
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.
Height of Manometer Liquid - (Measured in Meter) - Height of manometer liquid present in the manometer tube.
STEP 1: Convert Input(s) to Base Unit
Maximum Torque for Agitator: 4680 Newton Millimeter --> 4.68 Newton Meter (Check conversion here)
Height of Manometer Liquid: 74.9 Millimeter --> 0.0749 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Fm = Tm/(0.75*hm) --> 4.68/(0.75*0.0749)
Evaluating ... ...
Fm = 83.3110814419226
STEP 3: Convert Result to Output's Unit
83.3110814419226 Newton --> No Conversion Required
FINAL ANSWER
83.3110814419226 83.31108 Newton <-- Force
(Calculation completed in 00.004 seconds)

Credits

Created by Heet
Thadomal Shahani Engineering College (Tsec), Mumbai
Heet has created this Calculator and 200+ more calculators!
Verified by Prerana Bakli
University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA
Prerana Bakli has verified this Calculator and 1600+ more calculators!

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

Force for Design of Shaft Based on Pure Bending Formula

Force = Maximum Torque for Agitator/(0.75*Height of Manometer Liquid)
Fm = Tm/(0.75*hm)

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 Force for Design of Shaft Based on Pure Bending?

Force for Design of Shaft Based on Pure Bending calculator uses Force = Maximum Torque for Agitator/(0.75*Height of Manometer Liquid) to calculate the Force, Force for Design of Shaft Based on Pure Bending is defined as a condition of stress where a bending moment is applied to a beam without the simultaneous presence of axial, shear, or torsional forces. Force is denoted by Fm symbol.

How to calculate Force for Design of Shaft Based on Pure Bending using this online calculator? To use this online calculator for Force for Design of Shaft Based on Pure Bending, enter Maximum Torque for Agitator (Tm) & Height of Manometer Liquid (hm) and hit the calculate button. Here is how the Force for Design of Shaft Based on Pure Bending calculation can be explained with given input values -> 83.2 = 4.68/(0.75*0.0749).

FAQ

What is Force for Design of Shaft Based on Pure Bending?
Force for Design of Shaft Based on Pure Bending is defined as a condition of stress where a bending moment is applied to a beam without the simultaneous presence of axial, shear, or torsional forces and is represented as Fm = Tm/(0.75*hm) or Force = Maximum Torque for Agitator/(0.75*Height of Manometer Liquid). 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 & Height of manometer liquid present in the manometer tube.
How to calculate Force for Design of Shaft Based on Pure Bending?
Force for Design of Shaft Based on Pure Bending is defined as a condition of stress where a bending moment is applied to a beam without the simultaneous presence of axial, shear, or torsional forces is calculated using Force = Maximum Torque for Agitator/(0.75*Height of Manometer Liquid). To calculate Force for Design of Shaft Based on Pure Bending, you need Maximum Torque for Agitator (Tm) & Height of Manometer Liquid (hm). With our tool, you need to enter the respective value for Maximum Torque for Agitator & Height of Manometer Liquid and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!