Diameter of Solid Shaft Subjected to Maximum Bending Moment Calculator

✖Maximum Bending Moment for Solid Shaft refers to the maximum value of the internal bending moment experienced by the shaft when subjected to an external load or forces.ⓘ Maximum Bending Moment for Solid Shaft [M_solidshaft]			+10% -10%
✖Bending stress is the normal stress that an object encounters when it is subjected to a large load at a particular point that causes the object to bend and become fatigued.ⓘ Bending Stress [f_b]			+10% -10%

✖Diameter of Solid Shaft for Agitator is defined as the diameter of the hole in the iron laminations that contains the shaft.ⓘ Diameter of Solid Shaft Subjected to Maximum Bending Moment [d_solidshaft]

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Diameter of Solid Shaft Subjected to Maximum Bending Moment Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of Solid Shaft for Agitator = ((Maximum Bending Moment for Solid Shaft)/((pi/32)*Bending Stress))^(1/3)
d_solidshaft = ((M_solidshaft)/((pi/32)*f_b))^(1/3)
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Diameter of Solid Shaft for Agitator - (Measured in Meter) - Diameter of Solid Shaft for Agitator is defined as the diameter of the hole in the iron laminations that contains the shaft.
Maximum Bending Moment for Solid Shaft - (Measured in Newton Meter) - Maximum Bending Moment for Solid Shaft refers to the maximum value of the internal bending moment experienced by the shaft when subjected to an external load or forces.
Bending Stress - (Measured in Pascal) - Bending stress is the normal stress that an object encounters when it is subjected to a large load at a particular point that causes the object to bend and become fatigued.

STEP 1: Convert Input(s) to Base Unit

Maximum Bending Moment for Solid Shaft: 3700 Newton Millimeter --> 3.7 Newton Meter (Check conversion here)
Bending Stress: 200 Newton per Square Millimeter --> 200000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_solidshaft = ((M_solidshaft)/((pi/32)*f_b))^(1/3) --> ((3.7)/((pi/32)*200000000))^(1/3)

Evaluating ... ...

d_solidshaft = 0.00573311444568827

STEP 3: Convert Result to Output's Unit

0.00573311444568827 Meter -->5.73311444568827 Millimeter (Check conversion here)

FINAL ANSWER

5.73311444568827 ≈ 5.733114 Millimeter <-- Diameter of Solid Shaft for Agitator

(Calculation completed in 00.020 seconds)

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< Design of Agitation System Components Calculators

Maximum Torque for Hollow Shaft

LaTeX 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

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

Rated Motor Torque

LaTeX Go Rated Motor Torque = ((Power*4500)/(2*pi*Speed of Agitator))

Force for Design of Shaft Based on Pure Bending

LaTeX Go Force = Maximum Torque for Agitator/(0.75*Height of Manometer Liquid)

< Shaft Subjected to Bending Moment Only Calculators

Diameter of Solid Shaft Subjected to Maximum Bending Moment

LaTeX Go Diameter of Solid Shaft for Agitator = ((Maximum Bending Moment for Solid Shaft)/((pi/32)*Bending Stress))^(1/3)

Force for Design of Shaft Based on Pure Bending

LaTeX Go Force = Maximum Torque for Agitator/(0.75*Height of Manometer Liquid)

Maximum Torque of Shaft Subjected to Bending Moment only

LaTeX Go Maximum Torque for Agitator = Force*(0.75*Radius of Impeller Blade)

Maximum Bending Moment subject to Shaft

LaTeX Go Maximum Bending Moment = Length of Shaft*Force

Diameter of Solid Shaft Subjected to Maximum Bending Moment Formula

LaTeX Go

Diameter of Solid Shaft for Agitator = ((Maximum Bending Moment for Solid Shaft)/((pi/32)*Bending Stress))^(1/3)
d_solidshaft = ((M_solidshaft)/((pi/32)*f_b))^(1/3)

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 Diameter of Solid Shaft Subjected to Maximum Bending Moment?

Diameter of Solid Shaft Subjected to Maximum Bending Moment calculator uses Diameter of Solid Shaft for Agitator = ((Maximum Bending Moment for Solid Shaft)/((pi/32)*Bending Stress))^(1/3) to calculate the Diameter of Solid Shaft for Agitator, Diameter of Solid Shaft Subjected to Maximum Bending Moment is defined as the ratio of maximum bending moment of the shaft to bending stress for agitator. Diameter of Solid Shaft for Agitator is denoted by d_solidshaft symbol.

How to calculate Diameter of Solid Shaft Subjected to Maximum Bending Moment using this online calculator? To use this online calculator for Diameter of Solid Shaft Subjected to Maximum Bending Moment, enter Maximum Bending Moment for Solid Shaft (M_solidshaft) & Bending Stress (f_b) and hit the calculate button. Here is how the Diameter of Solid Shaft Subjected to Maximum Bending Moment calculation can be explained with given input values -> 5733.114 = ((3.7)/((pi/32)*200000000))^(1/3).

FAQ

What is Diameter of Solid Shaft Subjected to Maximum Bending Moment?

Diameter of Solid Shaft Subjected to Maximum Bending Moment is defined as the ratio of maximum bending moment of the shaft to bending stress for agitator and is represented as d_solidshaft = ((M_solidshaft)/((pi/32)*f_b))^(1/3) or Diameter of Solid Shaft for Agitator = ((Maximum Bending Moment for Solid Shaft)/((pi/32)*Bending Stress))^(1/3). Maximum Bending Moment for Solid Shaft refers to the maximum value of the internal bending moment experienced by the shaft when subjected to an external load or forces & Bending stress is the normal stress that an object encounters when it is subjected to a large load at a particular point that causes the object to bend and become fatigued.

How to calculate Diameter of Solid Shaft Subjected to Maximum Bending Moment?

Diameter of Solid Shaft Subjected to Maximum Bending Moment is defined as the ratio of maximum bending moment of the shaft to bending stress for agitator is calculated using Diameter of Solid Shaft for Agitator = ((Maximum Bending Moment for Solid Shaft)/((pi/32)*Bending Stress))^(1/3). To calculate Diameter of Solid Shaft Subjected to Maximum Bending Moment, you need Maximum Bending Moment for Solid Shaft (M_solidshaft) & Bending Stress (f_b). With our tool, you need to enter the respective value for Maximum Bending Moment for Solid Shaft & Bending Stress 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 Diameter of Solid Shaft for Agitator?

In this formula, Diameter of Solid Shaft for Agitator uses Maximum Bending Moment for Solid Shaft & Bending Stress. We can use 1 other way(s) to calculate the same, which is/are as follows -

Diameter of Solid Shaft for Agitator = (Equivalent Bending Moment*32/pi*1/Bending Stress)^(1/3)

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