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

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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. Check FAQs

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

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

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

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

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

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

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

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

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

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Convert Units

∴

C = 1 - 0.2 \cdot \frac{0.005m}{0.045m} - 1.1 \cdot \frac{0.004m}{0.045m}

Next Step Prepare to Evaluate

∴

C = 1 - 0.2 \cdot \frac{0.005}{0.045} - 1.1 \cdot \frac{0.004}{0.045}

LAST Step Evaluate

∴

C = 0.88

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

Variables

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

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

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

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

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 Ratio of Torsional Strength of Shaft with Keyway to without Keyway?

Ratio of Torsional Strength of Shaft with Keyway to without Keyway evaluator uses Ratio of Shaft Strength with and without Keyway = 1-0.2*Width of Key in Round Shaft/Diameter of Shaft with Keyway-1.1*Height of Shaft Keyway/Diameter of Shaft with Keyway to evaluate the Ratio of Shaft Strength with and without Keyway, Ratio of torsional strength of shaft with keyway to without keyway is the ratio of torisonal strength of a round shaft having a keyway to the torsional strength of a same-sized round shaft without a keyway. Ratio of Shaft Strength with and without Keyway is denoted by C symbol.

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

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

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

The formula of Ratio of Torsional Strength of Shaft with Keyway to without Keyway is expressed as Ratio of Shaft Strength with and without Keyway = 1-0.2*Width of Key in Round Shaft/Diameter of Shaft with Keyway-1.1*Height of Shaft Keyway/Diameter of Shaft with Keyway. Here is an example- 0.88 = 1-0.2*0.005/0.045-1.1*0.004/0.045.

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

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

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

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

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

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 Ratio of Torsional Strength of Shaft with Keyway to without Keyway?

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

Variable Name