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

✖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.ⓘ Width of Key in Round Shaft [b_k]			+10% -10%
✖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.ⓘ Height of Shaft Keyway [h]			+10% -10%
✖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.ⓘ Ratio of Shaft Strength with and without Keyway [C]			+10% -10%

✖Diameter of Shaft with Keyway is defined as the external surface diameter of a shaft (a rotating machine element) with a keyway.ⓘ Diameter of Shaft given Ratio of Torsional Strength of Shaft with Keyway to without Keyway [d]

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Formula

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

Formula

`"d" = (0.2*"b"_{"k"}+1.1*"h")/(1-"C")`

Example

`"45mm"=(0.2*"5mm"+1.1*"4mm")/(1-"0.88")`

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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 with and without Keyway)
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) - Diameter of Shaft with Keyway is defined as the external surface diameter of a shaft (a rotating machine element) with a keyway.
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.
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.
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.

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 with and without Keyway: 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 00.004 seconds)

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

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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)

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)

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

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

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

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)
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 with and without Keyway) 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 with and without Keyway (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 with and without Keyway). 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, 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 & 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.

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 with and without Keyway). 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 with and without Keyway (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 with and without 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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