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

✖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.ⓘ Diameter of Shaft with Keyway [d]			+10% -10%
✖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.ⓘ Ratio of Shaft Strength [C]			+10% -10%
✖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.ⓘ Height of Shaft Keyway [h]			+10% -10%

✖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.ⓘ Width of Shaft Keyway given Ratio of Torsional Strength of Shaft with Keyway to without Keyway [b_k]

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

STEP 0: Pre-Calculation Summary

Formula Used

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)
b_k = 5*d*(1-C-1.1*h/d)
This formula uses 4 Variables

Variables Used

Width of Key in Round Shaft - (Measured in Meter) - 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.
Diameter of Shaft with Keyway - (Measured in Meter) - 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.
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.
Height of Shaft Keyway - (Measured in Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Diameter of Shaft with Keyway: 45 Millimeter --> 0.045 Meter (Check conversion here)
Ratio of Shaft Strength: 0.88 --> No Conversion Required
Height of Shaft Keyway: 4 Millimeter --> 0.004 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

b_k = 5*d*(1-C-1.1*h/d) --> 5*0.045*(1-0.88-1.1*0.004/0.045)

Evaluating ... ...

b_k = 0.005

STEP 3: Convert Result to Output's Unit

0.005 Meter -->5 Millimeter (Check conversion here)

FINAL ANSWER

5 Millimeter <-- Width of Key in Round Shaft

(Calculation completed in 00.006 seconds)

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Home » Engineering » Mechanical » Machine Design » Design against Fluctuating Load » Stress Concentration Factors in Design » Round Shaft against Fluctuating Loads » Width of Shaft Keyway given Ratio of Torsional Strength of Shaft with Keyway to without Keyway

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Created by Saurabh Patil

Shri Govindram Seksaria Institute of Technology and Science (SGSITS ), Indore

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Shri Govindram Seksaria Institute of Technology and Science (SGSITS), Indore

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

LaTeX Go

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)
b_k = 5*d*(1-C-1.1*h/d)

Stress concentration in brittle materials

The effect of stress concentration is more severe in the case of brittle materials, due to their inability to plastic deformation. Brittle materials do not yield locally and there is no readjustment of stresses at the discontinuities. Once the local stress at the discontinuity reaches the fracture strength, a crack is formed. This reduces the material available to resist external load and also increases the stress concentration at the crack. The part then quickly fails. Therefore, stress concentration factors are used for components made of brittle materials subjected to both static loads as well as fluctuating loads.

How to Calculate 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 calculator 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 calculate 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 calculate Width of Shaft Keyway given Ratio of Torsional Strength of Shaft with Keyway to without Keyway using this online calculator? To use this online calculator 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. Here is how the Width of Shaft Keyway given Ratio of Torsional Strength of Shaft with Keyway to without Keyway calculation can be explained with given input values -> 5000 = 5*0.045*(1-0.88-1.1*0.004/0.045).

FAQ

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

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 and is represented as b_k = 5*d*(1-C-1.1*h/d) or 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). 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, 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 & 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.

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

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 is calculated using 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 calculate Width of Shaft Keyway given Ratio of Torsional Strength of Shaft with Keyway to without Keyway, you need Diameter of Shaft with Keyway (d), Ratio of Shaft Strength (C) & Height of Shaft Keyway (h). With our tool, you need to enter the respective value for Diameter of Shaft with Keyway, Ratio of Shaft Strength & Height of Shaft Keyway and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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