Permissible Shear Stress for Cotter Calculator

✖Tensile Force on Rods is the magnitude of the force applied along an elastic rod along its axis trying to stretch the rod.ⓘ Tensile Force on Rods [P]			+10% -10%
✖The mean Width of Cotter is defined as the average width of the cotter of a cotter joint.ⓘ Mean Width of Cotter [b]			+10% -10%
✖Thickness of Cotter is the measure of how much broad is the cotter in direction perpendicular to axial force.ⓘ Thickness of Cotter [t_c]			+10% -10%

✖The permissible shear stress is the highest value of shear stress developed in the component.ⓘ Permissible Shear Stress for Cotter [𝜏_p]

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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)
𝜏_p = P/(2*b*t_c)
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: 21.478 Millimeter --> 0.021478 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

𝜏_p = P/(2*b*t_c) --> 1500/(2*0.0485*0.021478)

Evaluating ... ...

𝜏_p = 719988.710577018

STEP 3: Convert Result to Output's Unit

719988.710577018 Pascal -->719988.710577018 Newton per Square Meter (Check conversion here)

FINAL ANSWER

719988.710577018 ≈ 719988.7 Newton per Square Meter <-- Permissible Shear Stress

(Calculation completed in 00.004 seconds)

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Home » Physics » Design of Machine Elements » Design of Coupling » Design of Cotter Joint » Mechanical » Strength and Stress » Permissible Shear Stress for Cotter

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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< Strength and Stress Calculators

Tensile Stress in Spigot of Cotter Joint given Diameter of Spigot, Thickenss of Cotter and Load

LaTeX Go Tensile Stress In Spigot = (Load on Cotter Joint)/((pi*Diameter of Spigot^2)/4-Diameter of Spigot*Thickness of Cotter)

Shear Stress in Spigot of Cotter Joint given Diameter of Spigot and Load

LaTeX Go Shear Stress in Spigot = (Load on Cotter Joint)/(2*Gap between End of Slot to End of Spigot*Diameter of Spigot)

Tensile Stress in Rod of Cotter Joint

LaTeX Go Tensile Stress in Cotter Joint Rod = (4*Load on Cotter Joint)/(pi*Diameter of Rod of Cotter Joint^2)

Shear Stress in Cotter given Cotter Thickness and Width

LaTeX Go Shear Stress in Cotter = (Load on Cotter Joint)/(2*Thickness of Cotter*Mean Width of Cotter)

< Forces and Loads on Joint Calculators

Load Taken by Socket of Cotter Joint given Tensile Stress in Socket

LaTeX Go Load on Cotter Joint = Tensile Stress In Socket*(pi/4*(Outside Diameter of Socket^2-Diameter of Spigot^2)-Thickness of Cotter*(Outside Diameter of Socket-Diameter of Spigot))

Maximum Load taken by Cotter Joint given Spigot Diameter, Thickness and Stress

LaTeX Go Load on Cotter Joint = (pi/4*Diameter of Spigot^2-Diameter of Spigot*Thickness of Cotter)*Tensile Stress In Spigot

Load Taken by Cotter Joint Rod given Tensile Stress in Rod

LaTeX Go Load on Cotter Joint = (pi*Diameter of Rod of Cotter Joint^2*Tensile Stress in Cotter Joint Rod)/4

Force on Cotter given Shear Stress in Cotter

LaTeX Go Load on Cotter Joint = 2*Thickness of Cotter*Mean Width of Cotter*Shear Stress in Cotter

Permissible Shear Stress for Cotter Formula

LaTeX Go

Permissible Shear Stress = Tensile Force on Rods/(2*Mean Width of Cotter*Thickness of Cotter)
𝜏_p = P/(2*b*t_c)

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 𝜏_p 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 (t_c) and hit the calculate button. Here is how the Permissible Shear Stress for Cotter calculation can be explained with given input values -> 719988.7 = 1500/(2*0.0485*0.021478).

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 𝜏_p = P/(2*b*t_c) 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 (t_c). 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*External Diameter of Spigot)
Permissible Shear Stress = Tensile Force on Rods/(2*Spigot Distance*External Diameter of Spigot)

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