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 with and without Keyway-1.1*Height of Shaft Keyway/Diameter of Shaft with Keyway)
bk = 5*d*(1-C-1.1*h/d)
This formula uses 4 Variables
Variables Used
Width of Key in Round Shaft - (Measured in Meter) - Width of Key in Round Shaft is defined as the width of the key that is fixed in between the shaft and the hub to prevent relative movement between a power transmitting shaft and an attached component.
Diameter of Shaft with Keyway - (Measured in Meter) - Diameter of Shaft with Keyway is defined as the external surface diameter of a shaft (a rotating machine element) with a keyway.
Ratio of Shaft Strength with and without Keyway - Ratio of Shaft Strength with and without Keyway is the ratio of torisonal strength of a shaft having a keyway to torsional strength of a same-sized shaft without a keyway.
Height of Shaft Keyway - (Measured in Meter) - Height of Shaft Keyway is defined as the vertical length of the key that is used to transmit the torque produced and to restrict the relative movement between two rotating elements.
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 with and without Keyway: 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
bk = 5*d*(1-C-1.1*h/d) --> 5*0.045*(1-0.88-1.1*0.004/0.045)
Evaluating ... ...
bk = 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 00.020 seconds)

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Shri Govindram Seksaria Institute of Technology and Science (SGSITS ), Indore
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11 Round Shaft against Fluctuating Loads Calculators

Height of Shaft Keyway given Ratio of Torsional Strength of Shaft with Keyway to without Keyway
Go Height of Shaft Keyway = Diameter of Shaft with Keyway/1.1*(1-Ratio of Shaft Strength with and without Keyway-0.2*Width of Key in Round Shaft/Diameter of Shaft with Keyway)
Ratio of Torsional Strength of Shaft with Keyway to without Keyway
Go Ratio of Shaft Strength with and without Keyway = 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
Width of Shaft Keyway given Ratio of Torsional Strength of Shaft with Keyway to without Keyway
Go Width of Key in Round Shaft = 5*Diameter of Shaft with Keyway*(1-Ratio of Shaft Strength with and without Keyway-1.1*Height of Shaft Keyway/Diameter of Shaft with Keyway)
Diameter of Shaft given Ratio of Torsional Strength of Shaft with Keyway to without Keyway
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 with and without Keyway)
Torsional Moment in Round Shaft with Shoulder Fillet given Nominal Stress
Go Torsional moment on Round Shaft = (Nominal Torsional Stress for Fluctuating Load*pi*Smaller Diameter of Shaft with Fillet^3)/16
Smaller Diameter of Round Shaft with Shoulder Fillet in Tension or Compression
Go Smaller Diameter of Shaft with Fillet = sqrt((4*Load on Flat Plate)/(pi*Nominal Stress))
Nominal Torsional Stress in Round Shaft with Shoulder Fillet
Go Nominal Stress = (16*Torsional moment on Round Shaft)/(pi*Smaller Diameter of Shaft with Fillet^3)
Nominal Bending Stress in Round Shaft with Shoulder Fillet
Go Nominal Stress = (32*Bending Moment on Round Shaft)/(pi*Smaller Diameter of Shaft with Fillet^3)
Bending Moment in Round Shaft with Shoulder Fillet given Nominal Stress
Go Bending Moment on Round Shaft = (Nominal Stress*pi*Smaller Diameter of Shaft with Fillet^3)/32
Nominal Tensile Stress in Round Shaft with Shoulder Fillet
Go Nominal Stress = (4*Load on Flat Plate)/(pi*Smaller Diameter of Shaft with Fillet^2)
Tensile Force in Round Shaft with Shoulder Fillet given Nominal Stress
Go Load on Flat Plate = (Nominal Stress*pi*Smaller Diameter of Shaft with Fillet^2)/4

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

Width of Key in Round Shaft = 5*Diameter of Shaft with Keyway*(1-Ratio of Shaft Strength with and without Keyway-1.1*Height of Shaft Keyway/Diameter of Shaft with Keyway)
bk = 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 with and without Keyway-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 bk 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 with and without Keyway (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 bk = 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 with and without Keyway-1.1*Height of Shaft Keyway/Diameter of Shaft with Keyway). Diameter of Shaft with Keyway is defined as the external surface diameter of a shaft (a rotating machine element) with a keyway, Ratio of Shaft Strength with and without Keyway is the ratio of torisonal strength of a shaft having a keyway to torsional strength of a same-sized shaft without a keyway & Height of Shaft Keyway is defined as the vertical length of the key that is used to transmit the torque produced and to restrict the relative movement between two rotating elements.
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 with and without Keyway-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 with and without Keyway (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 with and without 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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