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

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The Height of Shaft Keyway is the vertical dimension of the keyway cut into a shaft, which accommodates a key for securing components and transmitting torque. Check FAQs

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

h - Height of Shaft Keyway?d - Diameter of Shaft with Keyway?C - Ratio of Shaft Strength?b_k - 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.

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

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

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

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

Next Step Substitute values of Variables

∴

h = \frac{45mm}{1.1} \cdot (1 - 0.88 - 0.2 \cdot \frac{5mm}{45mm})

Next Step Convert Units

∴

h = \frac{0.045m}{1.1} \cdot (1 - 0.88 - 0.2 \cdot \frac{0.005m}{0.045m})

Next Step Prepare to Evaluate

∴

h = \frac{0.045}{1.1} \cdot (1 - 0.88 - 0.2 \cdot \frac{0.005}{0.045})

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

The Height of Shaft Keyway is the vertical dimension of the keyway cut into a shaft, which accommodates a key for securing components and transmitting torque.

Symbol: h

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Height of Shaft Keyway

Diameter of Shaft with Keyway

The Diameter of Shaft with Keyway is the measurement across the widest part of a shaft that includes a keyway, crucial for transmitting torque in mechanical systems.

Symbol: d

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Shaft with Keyway

Ratio of Shaft Strength

The Ratio of Shaft Strength is a measure comparing the strength of a shaft to the applied loads, helping to ensure safe and effective machine design.

Symbol: C

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Ratio of Shaft Strength

Width of Key in Round Shaft

The Width of Key in Round Shaft is the measurement of the key used to secure components in a round shaft, influencing load distribution and stress concentration.

Symbol: b_k

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Width of Key in Round Shaft

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}{π \cdot {d small}^{3}}

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-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 (C) & Width of Key in Round Shaft (b_k) 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-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 (C) & Width of Key in Round Shaft (b_k) 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-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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Height of Shaft Keyway given Ratio of Torsional Strength of Shaft with Keyway to without Keyway Formula

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

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

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

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

Variable Name