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

STEP 0: Pre-Calculation Summary
Formula Used
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
C = 1-0.2*bk/d-1.1*h/d
This formula uses 4 Variables
Variables Used
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.
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.
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
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*bk/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 with and without Keyway
(Calculation completed in 00.004 seconds)

Credits

Created by Saurabh Patil
Shri Govindram Seksaria Institute of Technology and Science (SGSITS ), Indore
Saurabh Patil has created this Calculator and 700+ more calculators!
Verified by Ravi Khiyani
Shri Govindram Seksaria Institute of Technology and Science (SGSITS), Indore
Ravi Khiyani has verified this Calculator and 300+ more calculators!

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

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

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
C = 1-0.2*bk/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 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 to calculate the Ratio of Shaft Strength with and 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. Ratio of Shaft Strength with and without Keyway 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 (bk), 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*bk/d-1.1*h/d or 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 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 is defined as the external surface diameter of a shaft (a rotating machine element) with 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 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 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. To calculate Ratio of Torsional Strength of Shaft with Keyway to without Keyway, you need Width of Key in Round Shaft (bk), 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.
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!