Stress in Blade due to Maximum Bending Moment 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%
✖Blade Thickness is generally determined by the blade width and the wider the blade, then the thicker the material that it's made from.ⓘ Blade Thickness [b_t]			+10% -10%
✖Blade Width is measured from the tooth tip to the back edge of the blade.ⓘ Blade Width [b_w]			+10% -10%

✖Stress in Blade is related to mechanical loading directly and satisfies force and moment equilibrium. Primary stress that exceeds the yield stress by some margin will result in failure.ⓘ Stress in Blade due to Maximum Bending Moment [f]

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Formula

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Stress in Blade due to Maximum Bending Moment

Formula

`"f" = (("M"_{"m"})/(("b"_{"t"})*("b"_{"w"})^(2)/(6)))`

Example

`"0.34N/mm²"=(("34000N*mm")/(("1.5mm")*("20mm")^(2)/(6)))`

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Stress in Blade due to Maximum Bending Moment Solution

STEP 0: Pre-Calculation Summary

Formula Used

Stress in Blade = ((Maximum Bending Moment)/((Blade Thickness)*(Blade Width)^(2)/(6)))
f = ((M_m)/((b_t)*(b_w)^(2)/(6)))
This formula uses 4 Variables

Variables Used

Stress in Blade - (Measured in Newton per Square Millimeter) - Stress in Blade is related to mechanical loading directly and satisfies force and moment equilibrium. Primary stress that exceeds the yield stress by some margin will result in failure.
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.
Blade Thickness - (Measured in Millimeter) - Blade Thickness is generally determined by the blade width and the wider the blade, then the thicker the material that it's made from.
Blade Width - (Measured in Millimeter) - Blade Width is measured from the tooth tip to the back edge of the blade.

STEP 1: Convert Input(s) to Base Unit

Maximum Bending Moment: 34000 Newton Millimeter --> 34 Newton Meter (Check conversion here)
Blade Thickness: 1.5 Millimeter --> 1.5 Millimeter No Conversion Required
Blade Width: 20 Millimeter --> 20 Millimeter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f = ((M_m)/((b_t)*(b_w)^(2)/(6))) --> ((34)/((1.5)*(20)^(2)/(6)))

Evaluating ... ...

f = 0.34

STEP 3: Convert Result to Output's Unit

340000 Pascal -->0.34 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

0.34 Newton per Square Millimeter <-- Stress in Blade

(Calculation completed in 00.004 seconds)

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< 3 Impeller Blade Design Calculators

Stress in Flat Blade

Go Stress in Blade = (Force)*(0.75*Radius of Impeller Blade-Radius of Hub)/(Blade Thickness*Blade Width^(3))/(6)

Stress in Blade due to Maximum Bending Moment

Go Stress in Blade = ((Maximum Bending Moment)/((Blade Thickness)*(Blade Width)^(2)/(6)))

Maximum Bending Moment for Impeller Blade

Go Maximum Bending Moment = Force*(0.75*Radius of Impeller Blade-Radius of Hub)

Stress in Blade due to Maximum Bending Moment Formula

Stress in Blade = ((Maximum Bending Moment)/((Blade Thickness)*(Blade Width)^(2)/(6)))
f = ((M_m)/((b_t)*(b_w)^(2)/(6)))

What is Stress?

Stress is a physical quantity. It is a quantity that describes the magnitude of forces that cause deformation. Stress is defined as force per unit area. When an object is pulled apart by a force it will cause elongation which is also known as deformation, like the stretching of an elastic band, it is called tensile stress. But, when the forces result in the compression of an object, it is called compressive stress.

How to Calculate Stress in Blade due to Maximum Bending Moment?

Stress in Blade due to Maximum Bending Moment calculator uses Stress in Blade = ((Maximum Bending Moment)/((Blade Thickness)*(Blade Width)^(2)/(6))) to calculate the Stress in Blade, Stress in Blade due to Maximum Bending Moment formula is defined as maximum bending stress is proportional to the bending moment but inversely proportional to the square of the blade thickness. Thus, the maximum stress is more sensitive to the thickness of the blade. Stress in Blade is denoted by f symbol.

How to calculate Stress in Blade due to Maximum Bending Moment using this online calculator? To use this online calculator for Stress in Blade due to Maximum Bending Moment, enter Maximum Bending Moment (M_m), Blade Thickness (b_t) & Blade Width (b_w) and hit the calculate button. Here is how the Stress in Blade due to Maximum Bending Moment calculation can be explained with given input values -> 3.4E-7 = ((34)/((0.0015)*(0.02)^(2)/(6))).

FAQ

What is Stress in Blade due to Maximum Bending Moment?

Stress in Blade due to Maximum Bending Moment formula is defined as maximum bending stress is proportional to the bending moment but inversely proportional to the square of the blade thickness. Thus, the maximum stress is more sensitive to the thickness of the blade and is represented as f = ((M_m)/((b_t)*(b_w)^(2)/(6))) or Stress in Blade = ((Maximum Bending Moment)/((Blade Thickness)*(Blade Width)^(2)/(6))). 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, Blade Thickness is generally determined by the blade width and the wider the blade, then the thicker the material that it's made from & Blade Width is measured from the tooth tip to the back edge of the blade.

How to calculate Stress in Blade due to Maximum Bending Moment?

Stress in Blade due to Maximum Bending Moment formula is defined as maximum bending stress is proportional to the bending moment but inversely proportional to the square of the blade thickness. Thus, the maximum stress is more sensitive to the thickness of the blade is calculated using Stress in Blade = ((Maximum Bending Moment)/((Blade Thickness)*(Blade Width)^(2)/(6))). To calculate Stress in Blade due to Maximum Bending Moment, you need Maximum Bending Moment (M_m), Blade Thickness (b_t) & Blade Width (b_w). With our tool, you need to enter the respective value for Maximum Bending Moment, Blade Thickness & Blade Width 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 Stress in Blade?

In this formula, Stress in Blade uses Maximum Bending Moment, Blade Thickness & Blade Width. We can use 1 other way(s) to calculate the same, which is/are as follows -

Stress in Blade = (Force)*(0.75*Radius of Impeller Blade-Radius of Hub)/(Blade Thickness*Blade Width^(3))/(6)

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