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Stress in Blade due to Maximum Bending Moment Formula

GoStress in Flat Blade Formula

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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. Check FAQs

f = (\frac{M m}{(b t) \cdot \frac{{(b w)}^{2}}{6}})

f - Stress in Blade?M_m - Maximum Bending Moment?b_t - Blade Thickness?b_w - Blade Width?

Stress in Blade due to Maximum Bending Moment Example

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Here is how the Stress in Blade due to Maximum Bending Moment equation looks like with Values.

Here is how the Stress in Blade due to Maximum Bending Moment equation looks like with Units.

Here is how the Stress in Blade due to Maximum Bending Moment equation looks like.

0.34 = (\frac{34000}{(1.5) \cdot \frac{{(20)}^{2}}{6}})

0.34N/mm² = (\frac{34000N*mm}{(1.5mm) \cdot \frac{{(20mm)}^{2}}{6}})

0.34 = (\frac{34000}{(1.5) \cdot \frac{{(20)}^{2}}{6}})

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Stress in Blade due to Maximum Bending Moment Solution

Follow our step by step solution on how to calculate Stress in Blade due to Maximum Bending Moment?

FIRST Step Consider the formula

f = (\frac{M m}{(b t) \cdot \frac{{(b w)}^{2}}{6}})

Next Step Substitute values of Variables

∴

f = (\frac{34000N*mm}{(1.5mm) \cdot \frac{{(20mm)}^{2}}{6}})

Next Step Convert Units

∴

f = (\frac{34N*m}{(1.5mm) \cdot \frac{{(20mm)}^{2}}{6}})

Next Step Prepare to Evaluate

∴

f = (\frac{34}{(1.5) \cdot \frac{{(20)}^{2}}{6}})

Next Step Evaluate

∴

f = 340000Pa

LAST Step Convert to Output's Unit

∴

f = 0.34N/mm²

Stress in Blade due to Maximum Bending Moment Formula Elements

Variables

Stress in Blade

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.

Symbol: f

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Stress in Blade

Maximum Bending Moment

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.

Symbol: M_m

Measurement: Bending MomentUnit: N*mm

Note: Value should be greater than 0.

Formulas to find Maximum Bending Moment

Blade Thickness

Blade Thickness is generally determined by the blade width and the wider the blade, then the thicker the material that it's made from.

Symbol: b_t

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Blade Thickness

Blade Width

Blade Width is measured from the tooth tip to the back edge of the blade.

Symbol: b_w

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Blade Width

Other Formulas to find Stress in Blade

Go Stress in Flat Blade

f = (F m) \cdot \frac{0.75 \cdot R b - R h}{b t \cdot {b w}^{3}} / (6)

Other formulas in Impeller Blade Design category

Go Maximum Bending Moment for Impeller Blade

M m = F m \cdot (0.75 \cdot R b - R h)

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

Stress in Blade due to Maximum Bending Moment evaluator uses Stress in Blade = ((Maximum Bending Moment)/((Blade Thickness)*(Blade Width)^(2)/(6))) to evaluate 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 evaluate Stress in Blade due to Maximum Bending Moment using this online evaluator? To use this online evaluator 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.

FAQs on Stress in Blade due to Maximum Bending Moment

What is the formula to find Stress in Blade due to Maximum Bending Moment?

The formula of Stress in Blade due to Maximum Bending Moment is expressed as Stress in Blade = ((Maximum Bending Moment)/((Blade Thickness)*(Blade Width)^(2)/(6))). Here is an example- 3.4E-7 = ((34)/((0.0015)*(0.02)^(2)/(6))).

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

With Maximum Bending Moment (M_m), Blade Thickness (b_t) & Blade Width (b_w) we can find Stress in Blade due to Maximum Bending Moment using the formula - Stress in Blade = ((Maximum Bending Moment)/((Blade Thickness)*(Blade Width)^(2)/(6))).

What are the other ways to Calculate Stress in Blade?

Here are the different ways to Calculate Stress in Blade-

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

Can the Stress in Blade due to Maximum Bending Moment be negative?

No, the Stress in Blade due to Maximum Bending Moment, measured in Stress cannot be negative.

Which unit is used to measure Stress in Blade due to Maximum Bending Moment?

Stress in Blade due to Maximum Bending Moment is usually measured using the Newton per Square Millimeter[N/mm²] for Stress. Pascal[N/mm²], Newton per Square Meter[N/mm²], Kilonewton per Square Meter[N/mm²] are the few other units in which Stress in Blade due to Maximum Bending Moment can be measured.

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Stress in Blade due to Maximum Bending Moment Formula

​GoStress in Flat Blade Formula

Stress in Blade due to Maximum Bending Moment Example

Stress in Blade due to Maximum Bending Moment Solution

Stress in Blade due to Maximum Bending Moment Formula Elements

Other Formulas to find Stress in Blade

Other formulas in Impeller Blade Design category

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

FAQs on Stress in Blade due to Maximum Bending Moment

Variable Name

GoStress in Flat Blade Formula