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

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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. Check FAQs

b k = 5 \cdot d \cdot (1 - C - 1.1 \cdot \frac{h}{d})

b_k - Width of Key in Round Shaft?d - Diameter of Shaft with Keyway?C - Ratio of Shaft Strength?h - Height of Shaft Keyway?

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

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

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

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

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

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

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

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

FIRST Step Consider the formula

b k = 5 \cdot d \cdot (1 - C - 1.1 \cdot \frac{h}{d})

Next Step Substitute values of Variables

∴

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

Next Step Convert Units

∴

b k = 5 \cdot 0.045m \cdot (1 - 0.88 - 1.1 \cdot \frac{0.004m}{0.045m})

Next Step Prepare to Evaluate

∴

b k = 5 \cdot 0.045 \cdot (1 - 0.88 - 1.1 \cdot \frac{0.004}{0.045})

Next Step Evaluate

∴

b k = 0.005m

LAST Step Convert to Output's Unit

∴

b k = 5mm

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

Variables

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

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

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

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

Width of Shaft Keyway given Ratio of Torsional Strength of Shaft with Keyway to without Keyway evaluator uses Width of Key in Round Shaft = 5*Diameter of Shaft with Keyway*(1-Ratio of Shaft Strength-1.1*Height of Shaft Keyway/Diameter of Shaft with Keyway) to evaluate the Width of Key in Round Shaft, The width of shaft keyway given ratio of torsional strength of shaft with keyway to without keyway is the side to the side length of the keyway of a round shaft and is along the circumference of the shaft. Width of Key in Round Shaft is denoted by b_k symbol.

How to evaluate Width 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 Width 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) & Height of Shaft Keyway (h) and hit the calculate button.

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

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

The formula of Width of Shaft Keyway given Ratio of Torsional Strength of Shaft with Keyway to without Keyway is expressed as Width of Key in Round Shaft = 5*Diameter of Shaft with Keyway*(1-Ratio of Shaft Strength-1.1*Height of Shaft Keyway/Diameter of Shaft with Keyway). Here is an example- 5000 = 5*0.045*(1-0.88-1.1*0.004/0.045).

How to calculate Width 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) & Height of Shaft Keyway (h) we can find Width of Shaft Keyway given Ratio of Torsional Strength of Shaft with Keyway to without Keyway using the formula - Width of Key in Round Shaft = 5*Diameter of Shaft with Keyway*(1-Ratio of Shaft Strength-1.1*Height of Shaft Keyway/Diameter of Shaft with Keyway).

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

No, the Width 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 Width of Shaft Keyway given Ratio of Torsional Strength of Shaft with Keyway to without Keyway?

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

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

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

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

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

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

Variable Name