Thickness of Key based on Crushing Stress Solution

STEP 0: Pre-Calculation Summary
Formula Used
Thickness of Key = (Tangential Force*2)/(Crushing Stress in Key*Length of Key)
t = (F*2)/(fc*l)
This formula uses 4 Variables
Variables Used
Thickness of Key - (Measured in Millimeter) - The thickness of key is usually taken equal to one-sixth of diameter of shaft.
Tangential Force - (Measured in Newton) - The Tangential force is the force that acts on a moving body in the direction of a tangent to the curved path of the body.
Crushing Stress in Key - (Measured in Newton per Square Millimeter) - Crushing Stress in Key for the material is double the permissible shear stress.
Length of Key - (Measured in Millimeter) - The Length of Key is defined as the length of the key which is used to prevent rotation of a machine component or it is the major dimension of the key.
STEP 1: Convert Input(s) to Base Unit
Tangential Force: 236.6 Newton --> 236.6 Newton No Conversion Required
Crushing Stress in Key: 14.8 Newton per Square Millimeter --> 14.8 Newton per Square Millimeter No Conversion Required
Length of Key: 35 Millimeter --> 35 Millimeter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
t = (F*2)/(fc*l) --> (236.6*2)/(14.8*35)
Evaluating ... ...
t = 0.913513513513514
STEP 3: Convert Result to Output's Unit
0.000913513513513514 Meter -->0.913513513513514 Millimeter (Check conversion ​here)
FINAL ANSWER
0.913513513513514 0.913514 Millimeter <-- Thickness of Key
(Calculation completed in 00.004 seconds)

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Thadomal Shahani Engineering College (Tsec), Mumbai
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DJ Sanghvi College of Engineering (DJSCE), Mumbai
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8 Design of Key Calculators

Length of Key based on Crushing Stress in Key
​ Go Length of Key = (Tangential Force*2)/(Crushing Stress in Key*Thickness of Key)
Thickness of Key based on Crushing Stress
​ Go Thickness of Key = (Tangential Force*2)/(Crushing Stress in Key*Length of Key)
Crushing Strength of Key
​ Go Tangential Force = (Length of Key)*(Thickness of Key/2)*Crushing Stress in Key
Crushing Stress in Key
​ Go Crushing Stress in Key = (Tangential Force*2)/(Thickness of Key*Length of Key)
Shear Strength of Key
​ Go Tangential Force = (Length of Key)*(Width of Key)*Shear Stress in the Key
Tangential Force at Circumference of Shaft
​ Go Tangential Force = Maximum Torque/(Diameter of Shaft/2)
Length of Rectangular Key
​ Go Length of Key = 1.5*(Diameter of Shaft)
Length of Square Key
​ Go Length of Key = 1.5*(Diameter of Shaft)

Thickness of Key based on Crushing Stress Formula

Thickness of Key = (Tangential Force*2)/(Crushing Stress in Key*Length of Key)
t = (F*2)/(fc*l)

What is Crushing Stress?

Crushing stress, also known as compressive stress, is a mechanical stress that occurs when a material is subjected to a force or load that acts to compress or crush it. It is the stress experienced by a material when it is pushed or squeezed, causing it to decrease in volume or become more compact. Crushing stress is the opposite of tensile stress, which occurs when a material is subjected to a stretching or pulling force. When a material is under crushing stress, its molecules or particles are pushed closer together, and this stress can lead to deformation, failure, or structural damage if the material's strength is exceeded.

What is the main function of Keys?

Shafts and hubs are usually fastened together by means of keys. The main function of a key is to transmit the torque preventing relative motion between a shaft and a machine part assembled on it. Keys are used as temporary fasteners which can be easily disassembled. Keys are subjected to considerable crushing and shearing stresses.

How to Calculate Thickness of Key based on Crushing Stress?

Thickness of Key based on Crushing Stress calculator uses Thickness of Key = (Tangential Force*2)/(Crushing Stress in Key*Length of Key) to calculate the Thickness of Key, The Thickness of Key based on Crushing Stress refers to the minimum required thickness of a key used in a mechanical connection, such as a shaft and a hub, to prevent it from being crushed or sheared due to excessive compressive forces. Thickness of Key is denoted by t symbol.

How to calculate Thickness of Key based on Crushing Stress using this online calculator? To use this online calculator for Thickness of Key based on Crushing Stress, enter Tangential Force (F), Crushing Stress in Key (fc) & Length of Key (l) and hit the calculate button. Here is how the Thickness of Key based on Crushing Stress calculation can be explained with given input values -> 9.1E+7 = (236.6*2)/(14800000*0.035).

FAQ

What is Thickness of Key based on Crushing Stress?
The Thickness of Key based on Crushing Stress refers to the minimum required thickness of a key used in a mechanical connection, such as a shaft and a hub, to prevent it from being crushed or sheared due to excessive compressive forces and is represented as t = (F*2)/(fc*l) or Thickness of Key = (Tangential Force*2)/(Crushing Stress in Key*Length of Key). The Tangential force is the force that acts on a moving body in the direction of a tangent to the curved path of the body, Crushing Stress in Key for the material is double the permissible shear stress & The Length of Key is defined as the length of the key which is used to prevent rotation of a machine component or it is the major dimension of the key.
How to calculate Thickness of Key based on Crushing Stress?
The Thickness of Key based on Crushing Stress refers to the minimum required thickness of a key used in a mechanical connection, such as a shaft and a hub, to prevent it from being crushed or sheared due to excessive compressive forces is calculated using Thickness of Key = (Tangential Force*2)/(Crushing Stress in Key*Length of Key). To calculate Thickness of Key based on Crushing Stress, you need Tangential Force (F), Crushing Stress in Key (fc) & Length of Key (l). With our tool, you need to enter the respective value for Tangential Force, Crushing Stress in Key & Length of Key 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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