Height of Shaft Keyway given Ratio of Torsional Strength of Shaft with Keyway to without Keyway Formula

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Height of Shaft Keyway is defined as the vertical length of the key that is used to transmit the torque produced and to restrict the relative movement between two rotating elements. Check FAQs
h=d1.1(1-C-0.2bkd)
h - Height of Shaft Keyway?d - Diameter of Shaft with Keyway?C - Ratio of Shaft Strength with and without Keyway?bk - Width of Key in Round Shaft?

Height of Shaft Keyway given Ratio of Torsional Strength of Shaft with Keyway to without Keyway Example

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Here is how the Height of Shaft Keyway given Ratio of Torsional Strength of Shaft with Keyway to without Keyway equation looks like with Values.

Here is how the Height of Shaft Keyway given Ratio of Torsional Strength of Shaft with Keyway to without Keyway equation looks like with Units.

Here is how the Height of Shaft Keyway given Ratio of Torsional Strength of Shaft with Keyway to without Keyway equation looks like.

4Edit=45Edit1.1(1-0.88Edit-0.25Edit45Edit)
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Height of Shaft Keyway given Ratio of Torsional Strength of Shaft with Keyway to without Keyway Solution

Follow our step by step solution on how to calculate Height of Shaft Keyway given Ratio of Torsional Strength of Shaft with Keyway to without Keyway?

FIRST Step Consider the formula
h=d1.1(1-C-0.2bkd)
Next Step Substitute values of Variables
h=45mm1.1(1-0.88-0.25mm45mm)
Next Step Convert Units
h=0.045m1.1(1-0.88-0.20.005m0.045m)
Next Step Prepare to Evaluate
h=0.0451.1(1-0.88-0.20.0050.045)
Next Step Evaluate
h=0.004m
LAST Step Convert to Output's Unit
h=4mm

Height of Shaft Keyway given Ratio of Torsional Strength of Shaft with Keyway to without Keyway Formula Elements

Variables
Height of Shaft Keyway
Height of Shaft Keyway is defined as the vertical length of the key that is used to transmit the torque produced and to restrict the relative movement between two rotating elements.
Symbol: h
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
Diameter of Shaft with Keyway
Diameter of Shaft with Keyway is defined as the external surface diameter of a shaft (a rotating machine element) with a keyway.
Symbol: d
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
Ratio of Shaft Strength with and without Keyway
Ratio of Shaft Strength with and without Keyway is the ratio of torisonal strength of a shaft having a keyway to torsional strength of a same-sized shaft without a keyway.
Symbol: C
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Width of Key in Round Shaft
Width of Key in Round Shaft is defined as the width of the key that is fixed in between the shaft and the hub to prevent relative movement between a power transmitting shaft and an attached component.
Symbol: bk
Measurement: LengthUnit: mm
Note: Value should be greater than 0.

Other formulas in Round Shaft against Fluctuating Loads category

​Go Nominal Tensile Stress in Round Shaft with Shoulder Fillet
σo=4Pπdsmall2
​Go Nominal Bending Stress in Round Shaft with Shoulder Fillet
σo=32Mbπdsmall3
​Go Bending Moment in Round Shaft with Shoulder Fillet given Nominal Stress
Mb=σoπdsmall332
​Go Nominal Torsional Stress in Round Shaft with Shoulder Fillet
σo=16Mttπdsmall3

How to Evaluate Height of Shaft Keyway given Ratio of Torsional Strength of Shaft with Keyway to without Keyway?

Height of Shaft Keyway given Ratio of Torsional Strength of Shaft with Keyway to without Keyway evaluator uses Height of Shaft Keyway = Diameter of Shaft with Keyway/1.1*(1-Ratio of Shaft Strength with and without Keyway-0.2*Width of Key in Round Shaft/Diameter of Shaft with Keyway) to evaluate the Height of Shaft Keyway, Height of shaft keyway given ratio of torsional strength of shaft with keyway to without keyway is the top to bottom length of the keyway of a round shaft and is perpendicular to the circumference of the shaft. Height of Shaft Keyway is denoted by h symbol.

How to evaluate Height of Shaft Keyway given Ratio of Torsional Strength of Shaft with Keyway to without Keyway using this online evaluator? To use this online evaluator for Height of Shaft Keyway given Ratio of Torsional Strength of Shaft with Keyway to without Keyway, enter Diameter of Shaft with Keyway (d), Ratio of Shaft Strength with and without Keyway (C) & Width of Key in Round Shaft (bk) and hit the calculate button.

FAQs on Height of Shaft Keyway given Ratio of Torsional Strength of Shaft with Keyway to without Keyway

What is the formula to find Height of Shaft Keyway given Ratio of Torsional Strength of Shaft with Keyway to without Keyway?
The formula of Height of Shaft Keyway given Ratio of Torsional Strength of Shaft with Keyway to without Keyway is expressed as Height of Shaft Keyway = Diameter of Shaft with Keyway/1.1*(1-Ratio of Shaft Strength with and without Keyway-0.2*Width of Key in Round Shaft/Diameter of Shaft with Keyway). Here is an example- 4000 = 0.045/1.1*(1-0.88-0.2*0.005/0.045).
How to calculate Height of Shaft Keyway given Ratio of Torsional Strength of Shaft with Keyway to without Keyway?
With Diameter of Shaft with Keyway (d), Ratio of Shaft Strength with and without Keyway (C) & Width of Key in Round Shaft (bk) we can find Height of Shaft Keyway given Ratio of Torsional Strength of Shaft with Keyway to without Keyway using the formula - Height of Shaft Keyway = Diameter of Shaft with Keyway/1.1*(1-Ratio of Shaft Strength with and without Keyway-0.2*Width of Key in Round Shaft/Diameter of Shaft with Keyway).
Can the Height of Shaft Keyway given Ratio of Torsional Strength of Shaft with Keyway to without Keyway be negative?
No, the Height of Shaft Keyway given Ratio of Torsional Strength of Shaft with Keyway to without Keyway, measured in Length cannot be negative.
Which unit is used to measure Height of Shaft Keyway given Ratio of Torsional Strength of Shaft with Keyway to without Keyway?
Height of Shaft Keyway given Ratio of Torsional Strength of Shaft with Keyway to without Keyway is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Height of Shaft Keyway given Ratio of Torsional Strength of Shaft with Keyway to without Keyway can be measured.
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