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

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Diameter of Shaft with Keyway is defined as the external surface diameter of a shaft (a rotating machine element) with a keyway. Check FAQs

d = \frac{0.2 \cdot b k + 1.1 \cdot h}{1 - C}

d - Diameter of Shaft with Keyway?b_k - Width of Key in Round Shaft?h - Height of Shaft Keyway?C - Ratio of Shaft Strength with and without Keyway?

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

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

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

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

45 = \frac{0.2 \cdot 5 + 1.1 \cdot 4}{1 - 0.88}

45mm = \frac{0.2 \cdot 5mm + 1.1 \cdot 4mm}{1 - 0.88}

45 = \frac{0.2 \cdot 5 + 1.1 \cdot 4}{1 - 0.88}

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Diameter of Shaft given Ratio of Torsional Strength of Shaft with Keyway to without Keyway Solution

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

FIRST Step Consider the formula

d = \frac{0.2 \cdot b k + 1.1 \cdot h}{1 - C}

Next Step Substitute values of Variables

∴

d = \frac{0.2 \cdot 5mm + 1.1 \cdot 4mm}{1 - 0.88}

Next Step Convert Units

∴

d = \frac{0.2 \cdot 0.005m + 1.1 \cdot 0.004m}{1 - 0.88}

Next Step Prepare to Evaluate

∴

d = \frac{0.2 \cdot 0.005 + 1.1 \cdot 0.004}{1 - 0.88}

Next Step Evaluate

∴

d = 0.045m

LAST Step Convert to Output's Unit

∴

d = 45mm

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

Variables

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.

Formulas to find Diameter of Shaft with Keyway

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: b_k

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Width of Key in Round Shaft

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.

Formulas to find Height of Shaft Keyway

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.

Formulas to find Ratio of Shaft Strength with and without Keyway

Other formulas in Round Shaft against Fluctuating Loads category

Go Nominal Tensile Stress in Round Shaft with Shoulder Fillet

σ o = \frac{4 \cdot P}{π \cdot {d small}^{2}}

Go Nominal Bending Stress in Round Shaft with Shoulder Fillet

σ o = \frac{32 \cdot M b}{π \cdot {d small}^{3}}

Go Bending Moment in Round Shaft with Shoulder Fillet given Nominal Stress

M b = \frac{σ o \cdot π \cdot {d small}^{3}}{32}

Go Nominal Torsional Stress in Round Shaft with Shoulder Fillet

σ o = \frac{16 \cdot M t t}{π \cdot {d small}^{3}}

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

Diameter of Shaft given Ratio of Torsional Strength of Shaft with Keyway to without Keyway evaluator uses Diameter of Shaft with Keyway = (0.2*Width of Key in Round Shaft+1.1*Height of Shaft Keyway)/(1-Ratio of Shaft Strength with and without Keyway) to evaluate the Diameter of Shaft with Keyway, The diameter of shaft given ratio of torsional strength of shaft with keyway to without keyway is the diameter of the external surface of a round shaft with a keyway or key gap in it. Diameter of Shaft with Keyway is denoted by d symbol.

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

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

What is the formula to find Diameter of Shaft given Ratio of Torsional Strength of Shaft with Keyway to without Keyway?

The formula of Diameter of Shaft given Ratio of Torsional Strength of Shaft with Keyway to without Keyway is expressed as Diameter of Shaft with Keyway = (0.2*Width of Key in Round Shaft+1.1*Height of Shaft Keyway)/(1-Ratio of Shaft Strength with and without Keyway). Here is an example- 45000 = (0.2*0.005+1.1*0.004)/(1-0.88).

How to calculate Diameter of Shaft given Ratio of Torsional Strength of Shaft with Keyway to without Keyway?

With Width of Key in Round Shaft (b_k), Height of Shaft Keyway (h) & Ratio of Shaft Strength with and without Keyway (C) we can find Diameter of Shaft given Ratio of Torsional Strength of Shaft with Keyway to without Keyway using the formula - Diameter of Shaft with Keyway = (0.2*Width of Key in Round Shaft+1.1*Height of Shaft Keyway)/(1-Ratio of Shaft Strength with and without Keyway).

Can the Diameter of Shaft given Ratio of Torsional Strength of Shaft with Keyway to without Keyway be negative?

No, the Diameter of Shaft given Ratio of Torsional Strength of Shaft with Keyway to without Keyway, measured in Length cannot be negative.

Which unit is used to measure Diameter of Shaft given Ratio of Torsional Strength of Shaft with Keyway to without Keyway?

Diameter of Shaft 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 Diameter of Shaft given Ratio of Torsional Strength of Shaft with Keyway to without Keyway can be measured.

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

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

Diameter of Shaft given Ratio of Torsional Strength of Shaft with Keyway to without Keyway Solution

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

Other formulas in Round Shaft against Fluctuating Loads category

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

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

Variable Name