Stress in Flat Blade Solution

STEP 0: Pre-Calculation Summary
Formula Used
Stress in Blade = (Force)*(0.75*Radius of Impeller Blade-Radius of Hub)/(Blade Thickness*Blade Width^(3))/(6)
f = (Fm)*(0.75*Rb-Rh)/(bt*bw^(3))/(6)
This formula uses 6 Variables
Variables Used
Stress in Blade - (Measured in Pascal) - 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.
Force - (Measured in Newton) - Force is a push or pull upon an object resulting from the object's interaction with another object.
Radius of Impeller Blade - (Measured in Meter) - Radius of Impeller Blade is known for the blade which is situated from its center point.
Radius of Hub - (Measured in Meter) - Radius of Hub is usually taken as half the diameter of shaft and length from 4 to 5 times the shaft diameter.
Blade Thickness - (Measured in Meter) - 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 Meter) - Blade Width is measured from the tooth tip to the back edge of the blade.
STEP 1: Convert Input(s) to Base Unit
Force: 85 Newton --> 85 Newton No Conversion Required
Radius of Impeller Blade: 75 Millimeter --> 0.075 Meter (Check conversion ​here)
Radius of Hub: 22 Millimeter --> 0.022 Meter (Check conversion ​here)
Blade Thickness: 1.5 Millimeter --> 0.0015 Meter (Check conversion ​here)
Blade Width: 20 Millimeter --> 0.02 Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
f = (Fm)*(0.75*Rb-Rh)/(bt*bw^(3))/(6) --> (85)*(0.75*0.075-0.022)/(0.0015*0.02^(3))/(6)
Evaluating ... ...
f = 40434027.7777778
STEP 3: Convert Result to Output's Unit
40434027.7777778 Pascal -->40.4340277777778 Newton per Square Millimeter (Check conversion ​here)
FINAL ANSWER
40.4340277777778 40.43403 Newton per Square Millimeter <-- Stress in Blade
(Calculation completed in 00.004 seconds)

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Impeller Blade Design Calculators

Stress in Flat Blade
​ LaTeX ​ 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
​ LaTeX ​ Go Stress in Blade = ((Maximum Bending Moment)/((Blade Thickness)*(Blade Width)^(2)/(6)))
Maximum Bending Moment for Impeller Blade
​ LaTeX ​ Go Maximum Bending Moment = Force*(0.75*Radius of Impeller Blade-Radius of Hub)

Stress in Flat Blade Formula

​LaTeX ​Go
Stress in Blade = (Force)*(0.75*Radius of Impeller Blade-Radius of Hub)/(Blade Thickness*Blade Width^(3))/(6)
f = (Fm)*(0.75*Rb-Rh)/(bt*bw^(3))/(6)

What is Stress?

When a shaft is subjected to a torque or twisting a shearing stress is produced in the shaft. The shear stress varies from zero in the axis to a maximum at the outside surface of the shaft. the "Polar Moment of Inertia of an Area" is a measure of a shaft's ability to resist torsion.

How to Calculate Stress in Flat Blade?

Stress in Flat Blade calculator uses Stress in Blade = (Force)*(0.75*Radius of Impeller Blade-Radius of Hub)/(Blade Thickness*Blade Width^(3))/(6) to calculate the Stress in Blade, Stress in Flat Blade formula is defined as the stress distribution in the flat blade due to action of all forces such as gas and centrifugal forces. It is observed that the maximum stress of 1.958 GPa occurs at the root section and on the pressure side of gas turbine flat blade. Stress in Blade is denoted by f symbol.

How to calculate Stress in Flat Blade using this online calculator? To use this online calculator for Stress in Flat Blade, enter Force (Fm), Radius of Impeller Blade (Rb), Radius of Hub (Rh), Blade Thickness (bt) & Blade Width (bw) and hit the calculate button. Here is how the Stress in Flat Blade calculation can be explained with given input values -> 4E-5 = (85)*(0.75*0.075-0.022)/(0.0015*0.02^(3))/(6).

FAQ

What is Stress in Flat Blade?
Stress in Flat Blade formula is defined as the stress distribution in the flat blade due to action of all forces such as gas and centrifugal forces. It is observed that the maximum stress of 1.958 GPa occurs at the root section and on the pressure side of gas turbine flat blade and is represented as f = (Fm)*(0.75*Rb-Rh)/(bt*bw^(3))/(6) or Stress in Blade = (Force)*(0.75*Radius of Impeller Blade-Radius of Hub)/(Blade Thickness*Blade Width^(3))/(6). Force is a push or pull upon an object resulting from the object's interaction with another object, Radius of Impeller Blade is known for the blade which is situated from its center point, Radius of Hub is usually taken as half the diameter of shaft and length from 4 to 5 times the shaft diameter, 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 Flat Blade?
Stress in Flat Blade formula is defined as the stress distribution in the flat blade due to action of all forces such as gas and centrifugal forces. It is observed that the maximum stress of 1.958 GPa occurs at the root section and on the pressure side of gas turbine flat blade is calculated using Stress in Blade = (Force)*(0.75*Radius of Impeller Blade-Radius of Hub)/(Blade Thickness*Blade Width^(3))/(6). To calculate Stress in Flat Blade, you need Force (Fm), Radius of Impeller Blade (Rb), Radius of Hub (Rh), Blade Thickness (bt) & Blade Width (bw). With our tool, you need to enter the respective value for Force, Radius of Impeller Blade, Radius of Hub, 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 Force, Radius of Impeller Blade, Radius of Hub, Blade Thickness & Blade Width. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Stress in Blade = ((Maximum Bending Moment)/((Blade Thickness)*(Blade Width)^(2)/(6)))
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