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 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 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 Torsional Strength of Shaft with Keyway to without Keyway [C]

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

STEP 0: Pre-Calculation Summary

Formula Used

Ratio of Shaft Strength = 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
C = 1-0.2*b_k/d-1.1*h/d
This formula uses 4 Variables

Variables Used

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.
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.
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

Width of Key in Round Shaft: 5 Millimeter --> 0.005 Meter (Check conversion here)
Diameter of Shaft with Keyway: 45 Millimeter --> 0.045 Meter (Check conversion here)
Height of Shaft Keyway: 4 Millimeter --> 0.004 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C = 1-0.2*b_k/d-1.1*h/d --> 1-0.2*0.005/0.045-1.1*0.004/0.045

Evaluating ... ...

C = 0.88

STEP 3: Convert Result to Output's Unit

0.88 --> No Conversion Required

FINAL ANSWER

0.88 <-- Ratio of Shaft Strength

(Calculation completed in 00.008 seconds)

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

LaTeX Go

Ratio of Shaft Strength = 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
C = 1-0.2*b_k/d-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 Ratio of Torsional Strength of Shaft with Keyway to without Keyway?

Ratio of Torsional Strength of Shaft with Keyway to without Keyway calculator uses Ratio of Shaft Strength = 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 calculate the Ratio of Shaft Strength, 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 is denoted by C symbol.

How to calculate Ratio of Torsional Strength of Shaft with Keyway to without Keyway using this online calculator? To use this online calculator 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. Here is how the Ratio of Torsional Strength of Shaft with Keyway to without Keyway calculation can be explained with given input values -> 0.88 = 1-0.2*0.005/0.045-1.1*0.004/0.045.

FAQ

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