Permissible Shear Stress for Cotter Solution

STEP 0: Pre-Calculation Summary
Formula Used
Permissible Shear Stress = Tensile Force on Rods/(2*Mean Width of Cotter*Thickness of Cotter)
๐œpermissible = P/(2*b*tc)
This formula uses 4 Variables
Variables Used
Permissible Shear Stress - (Measured in Pascal) - The permissible shear stress is the highest value of shear stress developed in the component.
Tensile Force on Rods - (Measured in Newton) - Tensile Force on Rods is the magnitude of the force applied along an elastic rod along its axis trying to stretch the rod.
Mean Width of Cotter - (Measured in Meter) - The mean Width of Cotter is defined as the average width of the cotter of a cotter joint.
Thickness of Cotter - (Measured in Meter) - Thickness of cotter is the measure of how much broad is the cotter in direction perpendicular to axial force.
STEP 1: Convert Input(s) to Base Unit
Tensile Force on Rods: 1500 Newton --> 1500 Newton No Conversion Required
Mean Width of Cotter: 48.5 Millimeter --> 0.0485 Meter (Check conversion here)
Thickness of Cotter: 16.3 Millimeter --> 0.0163 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
๐œpermissible = P/(2*b*tc) --> 1500/(2*0.0485*0.0163)
Evaluating ... ...
๐œpermissible = 948706.596673202
STEP 3: Convert Result to Output's Unit
948706.596673202 Pascal -->948706.596673202 Newton per Square Meter (Check conversion here)
FINAL ANSWER
948706.596673202 โ‰ˆ 948706.6 Newton per Square Meter <-- Permissible Shear Stress
(Calculation completed in 00.020 seconds)

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21 Design of Machine Elements Calculators

Factor of Safety for Tri-axial State of Stress
Go Factor of Safety = Tensile Yield Strength/sqrt(1/2*((Normal Stress 1-Normal Stress 2)^2+(Normal Stress 2-Normal Stress 3)^2+(Normal Stress 3-Normal Stress 1)^2))
Equivalent Stress by Distortion Energy Theory
Go Equivalent Stress = 1/sqrt(2)*sqrt((Normal Stress 1-Normal Stress 2)^2+(Normal Stress 2-Normal Stress 3)^2+(Normal Stress 3-Normal Stress 1)^2)
Collar Friction Torque in Accordance of Uniform Pressure Theory
Go Collar Friction Torque = ((Coefficient of Friction*Load)*(Outer Diameter of Collar^3-Inner Diameter of Collar^3))/(3*(Outer Diameter of Collar^2-Inner Diameter of Collar^2))
Factor of Safety for Bi-Axial State of Stress
Go Factor of Safety = Tensile Yield Strength/(sqrt(Normal Stress 1^2+Normal Stress 2^2-Normal Stress 1*Normal Stress 2))
Tensile Stress in Spigot
Go Tensile Stress = Tensile Force on Rods/((pi/4*Diameter of Spigot^(2))-(Diameter of Spigot*Thickness of Cotter))
Unit Bearing Pressure
Go Unit Bearing Pressure = (4*Force on Unit)/(pi*Number of Threads*(Nominal Diameter^2-Core Diameter^2))
Shear Stress on Flat Key
Go Shear Stress = (2*Torque Transmitted by Shaft)/(Width of Key*Diameter of Shaft*Length of Key)
Polar Moment of Inertia of Hollow Circular Shaft
Go Polar Moment of Inertia of shaft = (pi*(Outer Diameter of Shaft^(4)-Inner Diameter of Shaft^(4)))/32
Ratio Factor for External Gears
Go Ratio Factor = 2*Number of Teeth of Gear/(Number of Teeth of Gear+Number of Teeth on Spur Pinion)
Ratio Factor for Internal Gears
Go Ratio Factor = 2*Number of Teeth of Gear/(Number of Teeth of Gear-Number of Teeth on Spur Pinion)
Permissible Shear Stress for Cotter
Go Permissible Shear Stress = Tensile Force on Rods/(2*Mean Width of Cotter*Thickness of Cotter)
Compressive Stress of Spigot
Go Compressive Stress in Spigot = Load on Cotter Joint/(Thickness of Cotter*Spigot Diameter)
Permissible Shear Stress for Spigot
Go Permissible Shear Stress = Tensile Force on Rods/(2*Spigot Distance*Diameter of Spigot)
Pitchline Velocity of Meshing Gears
Go Velocity = pi*Diameter of Pitch Circle*Speed in RPM/60
Power Transmitted
Go Shaft Power = 2*pi*Speed of Rotation*Torque applied
Stress Amplitude
Go Stress Amplitude = (Maximum Stress at Crack Tip-Minimum Stress)/2
Polar Moment of Inertia of Solid Circular Shaft
Go Polar Moment of Inertia = (pi*Diameter of Shaft^4)/32
Factor of Safety given Ultimate Stress and Working Stress
Go Factor of Safety = Fracture Stress/Working Stress
Thickness of Cotter Joint
Go Thickness of Cotter = 0.31*Diameter of Rod of Cotter Joint
Shear Yield Strength by Maximum Distortion Energy Theory
Go Shear Yield Strength = 0.577*Tensile Yield Strength
Shear Yield Strength by Maximum Shear Stress Theory
Go Shear Yield Strength = Tensile Yield Strength/2

9 Design of Coupling Calculators

Factor of Safety for Tri-axial State of Stress
Go Factor of Safety = Tensile Yield Strength/sqrt(1/2*((Normal Stress 1-Normal Stress 2)^2+(Normal Stress 2-Normal Stress 3)^2+(Normal Stress 3-Normal Stress 1)^2))
Equivalent Stress by Distortion Energy Theory
Go Equivalent Stress = 1/sqrt(2)*sqrt((Normal Stress 1-Normal Stress 2)^2+(Normal Stress 2-Normal Stress 3)^2+(Normal Stress 3-Normal Stress 1)^2)
Factor of Safety for Bi-Axial State of Stress
Go Factor of Safety = Tensile Yield Strength/(sqrt(Normal Stress 1^2+Normal Stress 2^2-Normal Stress 1*Normal Stress 2))
Tensile Stress in Spigot
Go Tensile Stress = Tensile Force on Rods/((pi/4*Diameter of Spigot^(2))-(Diameter of Spigot*Thickness of Cotter))
Polar Moment of Inertia of Hollow Circular Shaft
Go Polar Moment of Inertia of shaft = (pi*(Outer Diameter of Shaft^(4)-Inner Diameter of Shaft^(4)))/32
Permissible Shear Stress for Cotter
Go Permissible Shear Stress = Tensile Force on Rods/(2*Mean Width of Cotter*Thickness of Cotter)
Permissible Shear Stress for Spigot
Go Permissible Shear Stress = Tensile Force on Rods/(2*Spigot Distance*Diameter of Spigot)
Stress Amplitude
Go Stress Amplitude = (Maximum Stress at Crack Tip-Minimum Stress)/2
Polar Moment of Inertia of Solid Circular Shaft
Go Polar Moment of Inertia = (pi*Diameter of Shaft^4)/32

Permissible Shear Stress for Cotter Formula

Permissible Shear Stress = Tensile Force on Rods/(2*Mean Width of Cotter*Thickness of Cotter)
๐œpermissible = P/(2*b*tc)

Define a Cotter Joint?

A cotter is a flat wedge-shaped piece of steel as shown in figure-4.2. 1.1. This is used to connect rigidly two rods which transmit motion in the axial direction, without rotation. These joints may be subjected to tensile or compressive forces along the axes of the rods.

How to Calculate Permissible Shear Stress for Cotter?

Permissible Shear Stress for Cotter calculator uses Permissible Shear Stress = Tensile Force on Rods/(2*Mean Width of Cotter*Thickness of Cotter) to calculate the Permissible Shear Stress, The Permissible Shear Stress for Cotter is the stresses developed in a structure due to service loads that do not exceed the elastic limit. This limit is usually determined by ensuring that stresses remain within the limits through the use of factors of safety. Permissible Shear Stress is denoted by ๐œpermissible symbol.

How to calculate Permissible Shear Stress for Cotter using this online calculator? To use this online calculator for Permissible Shear Stress for Cotter, enter Tensile Force on Rods (P), Mean Width of Cotter (b) & Thickness of Cotter (tc) and hit the calculate button. Here is how the Permissible Shear Stress for Cotter calculation can be explained with given input values -> 948706.6 = 1500/(2*0.0485*0.0163).

FAQ

What is Permissible Shear Stress for Cotter?
The Permissible Shear Stress for Cotter is the stresses developed in a structure due to service loads that do not exceed the elastic limit. This limit is usually determined by ensuring that stresses remain within the limits through the use of factors of safety and is represented as ๐œpermissible = P/(2*b*tc) or Permissible Shear Stress = Tensile Force on Rods/(2*Mean Width of Cotter*Thickness of Cotter). Tensile Force on Rods is the magnitude of the force applied along an elastic rod along its axis trying to stretch the rod, The mean Width of Cotter is defined as the average width of the cotter of a cotter joint & Thickness of cotter is the measure of how much broad is the cotter in direction perpendicular to axial force.
How to calculate Permissible Shear Stress for Cotter?
The Permissible Shear Stress for Cotter is the stresses developed in a structure due to service loads that do not exceed the elastic limit. This limit is usually determined by ensuring that stresses remain within the limits through the use of factors of safety is calculated using Permissible Shear Stress = Tensile Force on Rods/(2*Mean Width of Cotter*Thickness of Cotter). To calculate Permissible Shear Stress for Cotter, you need Tensile Force on Rods (P), Mean Width of Cotter (b) & Thickness of Cotter (tc). With our tool, you need to enter the respective value for Tensile Force on Rods, Mean Width of Cotter & Thickness of Cotter 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 Permissible Shear Stress?
In this formula, Permissible Shear Stress uses Tensile Force on Rods, Mean Width of Cotter & Thickness of Cotter. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Permissible Shear Stress = Tensile Force on Rods/(2*Spigot Distance*Diameter of Spigot)
  • Permissible Shear Stress = Tensile Force on Rods/(2*Spigot Distance*Diameter of Spigot)
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