Shear Strength of Key Solution

STEP 0: Pre-Calculation Summary
Formula Used
Tangential Force = (Length of Key)*(Width of Key)*Shear Stress in the Key
F = (l)*(bk)*fs
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.
Width of Key - (Measured in Meter) - Width of Key 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.
Shear Stress in the Key - (Measured in Pascal) - Shear Stress in the Key a key is utilized as a part of transmitting torque from a pole to a rotor or center, the accompanying two sorts of strengths follow up on the key.
STEP 1: Convert Input(s) to Base Unit
Length of Key: 35 Millimeter --> 0.035 Meter (Check conversion here)
Width of Key: 5 Millimeter --> 0.005 Meter (Check conversion here)
Shear Stress in the Key: 10 Newton per Square Millimeter --> 10000000 Pascal (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
F = (l)*(bk)*fs --> (0.035)*(0.005)*10000000
Evaluating ... ...
F = 1750
STEP 3: Convert Result to Output's Unit
1750 Newton --> No Conversion Required
FINAL ANSWER
1750 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)

Shear Strength of Key Formula

Tangential Force = (Length of Key)*(Width of Key)*Shear Stress in the Key
F = (l)*(bk)*fs

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 Shear Strength of Key?

Shear Strength of Key calculator uses Tangential Force = (Length of Key)*(Width of Key)*Shear Stress in the Key to calculate the Tangential Force, The Shear Strength of Key formula is defined as its ability to resist forces that cause the material's internal structure to slide against itself. The shear strength of a material can be measured in either the vertical or horizontal direction. Tangential Force is denoted by F symbol.

How to calculate Shear Strength of Key using this online calculator? To use this online calculator for Shear Strength of Key, enter Length of Key (l), Width of Key (bk) & Shear Stress in the Key (fs) and hit the calculate button. Here is how the Shear Strength of Key calculation can be explained with given input values -> 1750 = (0.035)*(0.005)*10000000.

FAQ

What is Shear Strength of Key?
The Shear Strength of Key formula is defined as its ability to resist forces that cause the material's internal structure to slide against itself. The shear strength of a material can be measured in either the vertical or horizontal direction and is represented as F = (l)*(bk)*fs or Tangential Force = (Length of Key)*(Width of Key)*Shear Stress in the 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, Width of Key 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 & Shear Stress in the Key a key is utilized as a part of transmitting torque from a pole to a rotor or center, the accompanying two sorts of strengths follow up on the key.
How to calculate Shear Strength of Key?
The Shear Strength of Key formula is defined as its ability to resist forces that cause the material's internal structure to slide against itself. The shear strength of a material can be measured in either the vertical or horizontal direction is calculated using Tangential Force = (Length of Key)*(Width of Key)*Shear Stress in the Key. To calculate Shear Strength of Key, you need Length of Key (l), Width of Key (bk) & Shear Stress in the Key (fs). With our tool, you need to enter the respective value for Length of Key, Width of Key & Shear Stress in the 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, Width of Key & Shear Stress in the 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)*(Thickness of Key/2)*Crushing Stress in Key
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