Depth of Groove given allowable Static Thrust Load on Groove Solution

STEP 0: Pre-Calculation Summary
Formula Used
Depth of groove = (Factor of Safety*Reduction Factor*Allowable static thrust load on groove wall)/(Conversion factor*Shaft Diameter*pi*Tensile Yield Strength of Groove Material)
d = (fs*Φ*Ftg)/(C*D*pi*σsy)
This formula uses 1 Constants, 7 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Depth of groove - (Measured in Meter) - Depth of groove is the perpendicular distance from a real or calculated reference plane defined by edges of two adjacent ribs to the lowest point in the groove.
Factor of Safety - Factor of Safety expresses how much stronger a system is than it needs to be for an intended load.
Reduction Factor - Reduction Factor is constant term used as factor for load calculation.
Allowable static thrust load on groove wall - (Measured in Newton) - Allowable static thrust load on groove wall is the amount of measured force directed at and from a turning mechanism.
Conversion factor - Conversion factor is to account for change from metric units used in development of the formula.
Shaft Diameter - (Measured in Meter) - The Shaft Diameter is defined as the diameter of the hole in the iron laminations that contains the shaft.
Tensile Yield Strength of Groove Material - (Measured in Pascal) - Tensile yield strength of groove material is the stress that causes a material to lose its elastic behavior.
STEP 1: Convert Input(s) to Base Unit
Factor of Safety: 2.8 --> No Conversion Required
Reduction Factor: 0.85 --> No Conversion Required
Allowable static thrust load on groove wall: 18 Newton --> 18 Newton No Conversion Required
Conversion factor: 1.486 --> No Conversion Required
Shaft Diameter: 3.6 Meter --> 3.6 Meter No Conversion Required
Tensile Yield Strength of Groove Material: 9 Pascal --> 9 Pascal No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
d = (fs*Φ*Ftg)/(C*D*pi*σsy) --> (2.8*0.85*18)/(1.486*3.6*pi*9)
Evaluating ... ...
d = 0.283227728846053
STEP 3: Convert Result to Output's Unit
0.283227728846053 Meter --> No Conversion Required
FINAL ANSWER
0.283227728846053 0.283228 Meter <-- Depth of groove
(Calculation completed in 00.004 seconds)

Credits

Created by sanjay shiva
national institute of technology hamirpur (NITH ), hamirpur , himachal pradesh
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4 Depth of Groove Calculators

Depth of Groove given allowable Static Thrust Load on Groove
Go Depth of groove = (Factor of Safety*Reduction Factor*Allowable static thrust load on groove wall)/(Conversion factor*Shaft Diameter*pi*Tensile Yield Strength of Groove Material)
Depth of Groove given Allowable Static Thrust Load on Ring which is Subject to Shear
Go Depth of groove = (Allowable impact loading on groove*2/Allowable static thrust load on groove wall)/1000
Depth of Groove given Allowable Static Thrust Load and Allowable Impact Loading on Groove
Go Depth of groove = (Allowable impact loading on groove*2)/Allowable static thrust load on groove wall
Depth of Groove given Allowable Impact Loading on Groove
Go Depth of groove = Allowable impact loading on groove*2/(Allowable static thrust load on groove wall)

Depth of Groove given allowable Static Thrust Load on Groove Formula

Depth of groove = (Factor of Safety*Reduction Factor*Allowable static thrust load on groove wall)/(Conversion factor*Shaft Diameter*pi*Tensile Yield Strength of Groove Material)
d = (fs*Φ*Ftg)/(C*D*pi*σsy)

What is groove depth?

Groove depth is defined as the perpendicular distance from a real or calculated reference plane by edges of two adjacent ribs to the lowest point in the groove.

How to Calculate Depth of Groove given allowable Static Thrust Load on Groove?

Depth of Groove given allowable Static Thrust Load on Groove calculator uses Depth of groove = (Factor of Safety*Reduction Factor*Allowable static thrust load on groove wall)/(Conversion factor*Shaft Diameter*pi*Tensile Yield Strength of Groove Material) to calculate the Depth of groove, The Depth of Groove given allowable Static Thrust Load on Groove formula is defined as the perpendicular distance from a real or calculated reference plane defined by the edges of two adjacent ribs to the lowest point in the groove. Depth of groove is denoted by d symbol.

How to calculate Depth of Groove given allowable Static Thrust Load on Groove using this online calculator? To use this online calculator for Depth of Groove given allowable Static Thrust Load on Groove, enter Factor of Safety (fs), Reduction Factor (Φ), Allowable static thrust load on groove wall (Ftg), Conversion factor (C), Shaft Diameter (D) & Tensile Yield Strength of Groove Material sy) and hit the calculate button. Here is how the Depth of Groove given allowable Static Thrust Load on Groove calculation can be explained with given input values -> 0.303458 = (2.8*0.85*18)/(1.486*3.6*pi*9).

FAQ

What is Depth of Groove given allowable Static Thrust Load on Groove?
The Depth of Groove given allowable Static Thrust Load on Groove formula is defined as the perpendicular distance from a real or calculated reference plane defined by the edges of two adjacent ribs to the lowest point in the groove and is represented as d = (fs*Φ*Ftg)/(C*D*pi*σsy) or Depth of groove = (Factor of Safety*Reduction Factor*Allowable static thrust load on groove wall)/(Conversion factor*Shaft Diameter*pi*Tensile Yield Strength of Groove Material). Factor of Safety expresses how much stronger a system is than it needs to be for an intended load, Reduction Factor is constant term used as factor for load calculation, Allowable static thrust load on groove wall is the amount of measured force directed at and from a turning mechanism, Conversion factor is to account for change from metric units used in development of the formula, The Shaft Diameter is defined as the diameter of the hole in the iron laminations that contains the shaft & Tensile yield strength of groove material is the stress that causes a material to lose its elastic behavior.
How to calculate Depth of Groove given allowable Static Thrust Load on Groove?
The Depth of Groove given allowable Static Thrust Load on Groove formula is defined as the perpendicular distance from a real or calculated reference plane defined by the edges of two adjacent ribs to the lowest point in the groove is calculated using Depth of groove = (Factor of Safety*Reduction Factor*Allowable static thrust load on groove wall)/(Conversion factor*Shaft Diameter*pi*Tensile Yield Strength of Groove Material). To calculate Depth of Groove given allowable Static Thrust Load on Groove, you need Factor of Safety (fs), Reduction Factor (Φ), Allowable static thrust load on groove wall (Ftg), Conversion factor (C), Shaft Diameter (D) & Tensile Yield Strength of Groove Material sy). With our tool, you need to enter the respective value for Factor of Safety, Reduction Factor, Allowable static thrust load on groove wall, Conversion factor, Shaft Diameter & Tensile Yield Strength of Groove Material 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 Depth of groove?
In this formula, Depth of groove uses Factor of Safety, Reduction Factor, Allowable static thrust load on groove wall, Conversion factor, Shaft Diameter & Tensile Yield Strength of Groove Material. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Depth of groove = (Allowable impact loading on groove*2)/Allowable static thrust load on groove wall
  • Depth of groove = (Allowable impact loading on groove*2/Allowable static thrust load on groove wall)/1000
  • Depth of groove = Allowable impact loading on groove*2/(Allowable static thrust load on groove wall)
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