Crushing Strength of Key Solution

STEP 0: Pre-Calculation Summary
Formula Used
Tangential Force = (Length of Key)*(Thickness of Key/2)*Crushing Stress in Key
F = (l)*(t/2)*fc
This formula uses 4 Variables
Variables Used
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.
Length of Key - (Measured in Meter) - 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.
Thickness of Key - (Measured in Meter) - The thickness of key is usually taken equal to one-sixth of diameter of shaft.
Crushing Stress in Key - (Measured in Pascal) - Crushing Stress in Key for the material is double the permissible shear stress.
STEP 1: Convert Input(s) to Base Unit
Length of Key: 35 Millimeter --> 0.035 Meter (Check conversion here)
Thickness of Key: 0.2 Millimeter --> 0.0002 Meter (Check conversion here)
Crushing Stress in Key: 14.8 Newton per Square Millimeter --> 14800000 Pascal (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
F = (l)*(t/2)*fc --> (0.035)*(0.0002/2)*14800000
Evaluating ... ...
F = 51.8
STEP 3: Convert Result to Output's Unit
51.8 Newton --> No Conversion Required
FINAL ANSWER
51.8 Newton <-- Tangential Force
(Calculation completed in 00.004 seconds)

Credits

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Thadomal Shahani Engineering College (Tsec), 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)

Crushing Strength of Key Formula

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

What is Compressive Strength?

Compressive strength is the capacity of a material or structure to withstand loads tending to reduce size (as opposed to tensile strength which withstands loads tending to elongate). In other words, compressive strength resists compression (being pushed together), whereas tensile strength resists tension (being pulled apart). In the study of strength of materials, tensile strength, compressive strength, and shear strength can be analyzed independently.

How to Calculate Crushing Strength of Key?

Crushing Strength of Key calculator uses Tangential Force = (Length of Key)*(Thickness of Key/2)*Crushing Stress in Key to calculate the Tangential Force, The Crushing Strength of Key formula is defined as the capacity of a material or structure to withstand loads on circumference of shaft. Tangential Force is denoted by F symbol.

How to calculate Crushing Strength of Key using this online calculator? To use this online calculator for Crushing Strength of Key, enter Length of Key (l), Thickness of Key (t) & Crushing Stress in Key (fc) and hit the calculate button. Here is how the Crushing Strength of Key calculation can be explained with given input values -> 51.8 = (0.035)*(0.0002/2)*14800000.

FAQ

What is Crushing Strength of Key?
The Crushing Strength of Key formula is defined as the capacity of a material or structure to withstand loads on circumference of shaft and is represented as F = (l)*(t/2)*fc or Tangential Force = (Length of Key)*(Thickness of Key/2)*Crushing Stress in Key. 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, The thickness of key is usually taken equal to one-sixth of diameter of shaft & Crushing Stress in Key for the material is double the permissible shear stress.
How to calculate Crushing Strength of Key?
The Crushing Strength of Key formula is defined as the capacity of a material or structure to withstand loads on circumference of shaft is calculated using Tangential Force = (Length of Key)*(Thickness of Key/2)*Crushing Stress in Key. To calculate Crushing Strength of Key, you need Length of Key (l), Thickness of Key (t) & Crushing Stress in Key (fc). With our tool, you need to enter the respective value for Length of Key, Thickness of Key & Crushing Stress in Key and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Tangential Force?
In this formula, Tangential Force uses Length of Key, Thickness of Key & Crushing Stress in Key. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Tangential Force = Maximum Torque/(Diameter of Shaft/2)
  • Tangential Force = (Length of Key)*(Width of Key)*Shear Stress in the Key
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