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

✖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 Key in Round Shaft [b_k]			+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 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 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 given Ratio of Torsional Strength of Shaft with Keyway to without Keyway [d]

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

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of Shaft with Keyway = (0.2*Width of Key in Round Shaft+1.1*Height of Shaft Keyway)/(1-Ratio of Shaft Strength)
d = (0.2*b_k+1.1*h)/(1-C)
This formula uses 4 Variables

Variables Used

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.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Width of Key in Round Shaft: 5 Millimeter --> 0.005 Meter (Check conversion here)
Height of Shaft Keyway: 4 Millimeter --> 0.004 Meter (Check conversion here)
Ratio of Shaft Strength: 0.88 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d = (0.2*b_k+1.1*h)/(1-C) --> (0.2*0.005+1.1*0.004)/(1-0.88)

Evaluating ... ...

d = 0.045

STEP 3: Convert Result to Output's Unit

0.045 Meter -->45 Millimeter (Check conversion here)

FINAL ANSWER

45 Millimeter <-- Diameter of Shaft with Keyway

(Calculation completed in 00.540 seconds)

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Created by Saurabh Patil

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

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

LaTeX Go

Diameter of Shaft with Keyway = (0.2*Width of Key in Round Shaft+1.1*Height of Shaft Keyway)/(1-Ratio of Shaft Strength)
d = (0.2*b_k+1.1*h)/(1-C)

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 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 calculator 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) to calculate 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 calculate Diameter of Shaft given Ratio of Torsional Strength of Shaft with Keyway to without Keyway using this online calculator? To use this online calculator 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 (C) and hit the calculate button. Here is how the Diameter of Shaft given Ratio of Torsional Strength of Shaft with Keyway to without Keyway calculation can be explained with given input values -> 45000 = (0.2*0.005+1.1*0.004)/(1-0.88).

FAQ

What is Diameter of Shaft given Ratio of Torsional Strength of Shaft with Keyway to without 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 and is represented as d = (0.2*b_k+1.1*h)/(1-C) or Diameter of Shaft with Keyway = (0.2*Width of Key in Round Shaft+1.1*Height of Shaft Keyway)/(1-Ratio of Shaft Strength). 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, 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 & 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.

How to calculate Diameter of Shaft given Ratio of Torsional Strength of Shaft with Keyway to without 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 is calculated using Diameter of Shaft with Keyway = (0.2*Width of Key in Round Shaft+1.1*Height of Shaft Keyway)/(1-Ratio of Shaft Strength). To calculate Diameter of Shaft given Ratio of Torsional Strength of Shaft with Keyway to without Keyway, you need Width of Key in Round Shaft (b_k), Height of Shaft Keyway (h) & Ratio of Shaft Strength (C). With our tool, you need to enter the respective value for Width of Key in Round Shaft, Height of Shaft Keyway & Ratio of Shaft Strength 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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