Shaft Diameter given allowable Static Thrust Load on Groove Calculator

✖Allowable static thrust load on groove wall is the amount of measured force directed at and from a turning mechanism.ⓘ Allowable static thrust load on groove wall [F_tg]			+10% -10%
✖Factor of Safety expresses how much stronger a system is than it needs to be for an intended load.ⓘ Factor of Safety [f_s]			+10% -10%
✖Reduction Factor is constant term used as factor for load calculation.ⓘ Reduction Factor [Φ]			+10% -10%
✖Conversion factor is to account for change from metric units used in development of the formula.ⓘ Conversion factor [C]			+10% -10%
✖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.ⓘ Depth of groove [d]			+10% -10%
✖Tensile yield strength of groove material is the stress that causes a material to lose its elastic behavior.ⓘ Tensile Yield Strength of Groove Material [σ_sy]			+10% -10%

✖The Shaft Diameter is defined as the diameter of the hole in the iron laminations that contains the shaft.ⓘ Shaft Diameter given allowable Static Thrust Load on Groove [D]

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Formula

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Shaft Diameter given allowable Static Thrust Load on Groove

Formula

`"D" = ("F"_{"tg"}*"f"_{"s"}*"Φ")/("C"*"d"*pi*"σ"_{"sy"})`

Example

`"0.29132m"=("18N"*"2.8"*"0.85")/("1.486"*"3.5m"*pi*"9Pa")`

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Shaft Diameter given allowable Static Thrust Load on Groove Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shaft Diameter = (Allowable static thrust load on groove wall*Factor of Safety*Reduction Factor)/(Conversion factor*Depth of groove*pi*Tensile Yield Strength of Groove Material)
D = (F_tg*f_s*Φ)/(C*d*pi*σ_sy)
This formula uses 1 Constants, 7 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Shaft Diameter - (Measured in Meter) - The Shaft Diameter is defined as the diameter of the hole in the iron laminations that contains the shaft.
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.
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.
Conversion factor - Conversion factor is to account for change from metric units used in development of the formula.
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.
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

Allowable static thrust load on groove wall: 18 Newton --> 18 Newton No Conversion Required
Factor of Safety: 2.8 --> No Conversion Required
Reduction Factor: 0.85 --> No Conversion Required
Conversion factor: 1.486 --> No Conversion Required
Depth of groove: 3.5 Meter --> 3.5 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 = (F_tg*f_s*Φ)/(C*d*pi*σ_sy) --> (18*2.8*0.85)/(1.486*3.5*pi*9)

Evaluating ... ...

D = 0.291319949670226

STEP 3: Convert Result to Output's Unit

0.291319949670226 Meter --> No Conversion Required

FINAL ANSWER

0.291319949670226 ≈ 0.29132 Meter <-- Shaft Diameter

(Calculation completed in 00.004 seconds)

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national institute of technology hamirpur (NITH ), hamirpur , himachal pradesh

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< 5 Load Capacities of Groove Calculators

Tensile Yield Strength of Groove Material given allowable Static Thrust Load on Groove

Go Tensile Yield Strength of Groove Material = (Factor of Safety*Reduction Factor*Allowable static thrust load on groove wall)/(Conversion factor*Shaft Diameter*pi*Depth of groove)

Shaft Diameter given allowable Static Thrust Load on Groove

Go Shaft Diameter = (Allowable static thrust load on groove wall*Factor of Safety*Reduction Factor)/(Conversion factor*Depth of groove*pi*Tensile Yield Strength of Groove Material)

Allowable Static Thrust Load on Groove

Go Allowable static thrust load on groove wall = (Conversion factor*Shaft Diameter*Depth of groove*pi*Tensile Yield Strength of Groove Material)/(Factor of Safety*Reduction Factor)

Allowable impact loading on groove

Go Allowable impact loading on groove = (Allowable static thrust load on groove wall*Depth of groove)/2

Allowable Static Thrust Load given Allowable Impact Loading on Groove

Go Allowable static thrust load on groove wall = Allowable impact loading on groove*2/Depth of groove

Shaft Diameter given allowable Static Thrust Load on Groove Formula

What is static thrust load?

Static thrust load is the amount of measured force directed at and from a turning mechanism. As the mechanism such as a gear turns on a shaft, there is both load emitted from the gear in the direction it is turning as well as against the shaft it is turning on, either forward or to the rear.

How to Calculate Shaft Diameter given allowable Static Thrust Load on Groove?

Shaft Diameter given allowable Static Thrust Load on Groove calculator uses Shaft Diameter = (Allowable static thrust load on groove wall*Factor of Safety*Reduction Factor)/(Conversion factor*Depth of groove*pi*Tensile Yield Strength of Groove Material) to calculate the Shaft Diameter, The Shaft Diameter given allowable Static Thrust Load on Groove formula is defined as diameter of the rotating machine element, usually circular in cross-section, which is used to transmit power from one part to another, or from a machine that produces power to a machine that absorbs power. Shaft Diameter is denoted by D symbol.

How to calculate Shaft Diameter given allowable Static Thrust Load on Groove using this online calculator? To use this online calculator for Shaft Diameter given allowable Static Thrust Load on Groove, enter Allowable static thrust load on groove wall (F_tg), Factor of Safety (f_s), Reduction Factor (Φ), Conversion factor (C), Depth of groove (d) & Tensile Yield Strength of Groove Material (σ_sy) and hit the calculate button. Here is how the Shaft Diameter given allowable Static Thrust Load on Groove calculation can be explained with given input values -> 0.312129 = (18*2.8*0.85)/(1.486*3.5*pi*9).

FAQ

What is Shaft Diameter given allowable Static Thrust Load on Groove?

The Shaft Diameter given allowable Static Thrust Load on Groove formula is defined as diameter of the rotating machine element, usually circular in cross-section, which is used to transmit power from one part to another, or from a machine that produces power to a machine that absorbs power and is represented as D = (F_tg*f_s*Φ)/(C*d*pi*σ_sy) or Shaft Diameter = (Allowable static thrust load on groove wall*Factor of Safety*Reduction Factor)/(Conversion factor*Depth of groove*pi*Tensile Yield Strength of Groove Material). Allowable static thrust load on groove wall is the amount of measured force directed at and from a turning mechanism, 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, Conversion factor is to account for change from metric units used in development of the formula, 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 & Tensile yield strength of groove material is the stress that causes a material to lose its elastic behavior.

How to calculate Shaft Diameter given allowable Static Thrust Load on Groove?

The Shaft Diameter given allowable Static Thrust Load on Groove formula is defined as diameter of the rotating machine element, usually circular in cross-section, which is used to transmit power from one part to another, or from a machine that produces power to a machine that absorbs power is calculated using Shaft Diameter = (Allowable static thrust load on groove wall*Factor of Safety*Reduction Factor)/(Conversion factor*Depth of groove*pi*Tensile Yield Strength of Groove Material). To calculate Shaft Diameter given allowable Static Thrust Load on Groove, you need Allowable static thrust load on groove wall (F_tg), Factor of Safety (f_s), Reduction Factor (Φ), Conversion factor (C), Depth of groove (d) & Tensile Yield Strength of Groove Material (σ_sy). With our tool, you need to enter the respective value for Allowable static thrust load on groove wall, Factor of Safety, Reduction Factor, Conversion factor, Depth of groove & 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.

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