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Diameter of spigot of cotter joint given bending stress in cotter Solution

STEP 0: Pre-Calculation Summary
Formula Used
Diameter of Spigot = (4*(Mean Width of Cotter^2)*Bending Stress in Cotter*(Thickness of cotter)/Load)-(2*Diameter of Socket Collar)
d2 = (4*(b^2)*σb*(tc)/L)-(2*d4)
This formula uses 5 Variables
Variables Used
Mean Width of Cotter - The mean Width of Cotter is defined as the average width of the cotter of a cotter joint. (Measured in Millimeter)
Bending Stress in Cotter - Bending Stress in Cotter is defined as the stress that is induced in the cotter subjected to loads that cause it to bend. (Measured in Newton per Square Millimeter)
Thickness of cotter - Thickness of cotter is the measure of how much broad is the cotter in direction perpendicular to axial force. (Measured in Millimeter)
Load - Load is basically the amount of load/force any material, product, joint, can bear or is acted upon or exerts. (Measured in Newton)
Diameter of Socket Collar - Diameter of socket collar is the external diameter of collar of the socket of a cotter joint. (Measured in Millimeter)
STEP 1: Convert Input(s) to Base Unit
Mean Width of Cotter: 30 Millimeter --> 0.03 Meter (Check conversion here)
Bending Stress in Cotter: 100 Newton per Square Millimeter --> 100000000 Pascal (Check conversion here)
Thickness of cotter: 10 Millimeter --> 0.01 Meter (Check conversion here)
Load: 5250 Newton --> 5250 Newton No Conversion Required
Diameter of Socket Collar: 100 Millimeter --> 0.1 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
d2 = (4*(b^2)*σb*(tc)/L)-(2*d4) --> (4*(0.03^2)*100000000*(0.01)/5250)-(2*0.1)
Evaluating ... ...
d2 = 0.485714285714286
STEP 3: Convert Result to Output's Unit
0.485714285714286 Meter -->485.714285714286 Millimeter (Check conversion here)
FINAL ANSWER
485.714285714286 Millimeter <-- Diameter of Spigot
(Calculation completed in 00.016 seconds)

10+ Design of Cotter Joint Calculators

Width of cotter by bending consideration
Mean Width of Cotter = (((3*Load/(Thickness of cotter*Bending Stress in Cotter))*((Diameter of Spigot/4)+((Diameter of Socket Collar-Diameter of Spigot)/6))))^0.5 Go
Maximum load taken by cotter joint given spigot diameter, thickness and stress
Load = (((pi/4)*(Diameter of Spigot)^2)-(Diameter of Spigot*Thickness of cotter))*Permissible tensile stress Go
Minimum Rod diameter in cotter joint given axial tensile force and stress
Diameter of rod = sqrt((4*Axial tensile or compressive force)/(Permissible tensile stress*pi)) Go
Minimum Diameter of spigot in cotter joint subjected to crushing stress
Diameter of Spigot = Axial tensile or compressive force/(Crushing stress induced in cotter*Thickness of cotter) Go
Width of cotter by shear consideration
Mean Width of Cotter = Shear Force on Section/(2*Allowable shear stress*Thickness of cotter) Go
Load taken by cotter joint rod given tensile stress in rod
Load = (pi*(Diameter of rod^2)*Tensile Stress In Rod)/4 Go
Tensile stress in rod of cotter joint
Tensile Stress In Rod = (4*Load)/(pi*Diameter of rod^2) Go
Thickness of spigot collar when rod diameter is available
Thickness of Spigot Collar = 0.45*Diameter of rod Go
Diameter of spigot collar given rod diameter
Diameter of Spigot Collar = 1.5*Diameter of rod Go
Diameter of socket collar given rod diameter
Diameter of Socket Collar = 2.4*Diameter of rod Go

Diameter of spigot of cotter joint given bending stress in cotter Formula

Diameter of Spigot = (4*(Mean Width of Cotter^2)*Bending Stress in Cotter*(Thickness of cotter)/Load)-(2*Diameter of Socket Collar)
d2 = (4*(b^2)*σb*(tc)/L)-(2*d4)

Sleeve and Cotter Joint

The sleeve and cotter joint is a type of joint used to typically connect two similar coaxial cylindrical rods. It includes a sleeve and two wedge-shaped tapered cotters. Appropriate slots are cut in the sleeve and in the cylindrical rods.
Rectangular rods and dissimilar cylindrical rods cannot be connected using this joint. A sleeve and cotter joints do not allow angular misalignment between its cylindrical members. It cannot connect cylindrical members which undergo rotation.

How to Calculate Diameter of spigot of cotter joint given bending stress in cotter?

Diameter of spigot of cotter joint given bending stress in cotter calculator uses Diameter of Spigot = (4*(Mean Width of Cotter^2)*Bending Stress in Cotter*(Thickness of cotter)/Load)-(2*Diameter of Socket Collar) to calculate the Diameter of Spigot, Diameter of spigot of cotter joint given bending stress in cotter is the required diameter of the spigot of the cotter joint when a bending moment acts onto the cotter. Diameter of Spigot is denoted by d2 symbol.

How to calculate Diameter of spigot of cotter joint given bending stress in cotter using this online calculator? To use this online calculator for Diameter of spigot of cotter joint given bending stress in cotter, enter Mean Width of Cotter (b), Bending Stress in Cotter b), Thickness of cotter (tc), Load (L) & Diameter of Socket Collar (d4) and hit the calculate button. Here is how the Diameter of spigot of cotter joint given bending stress in cotter calculation can be explained with given input values -> 485.7143 = (4*(0.03^2)*100000000*(0.01)/5250)-(2*0.1).

FAQ

What is Diameter of spigot of cotter joint given bending stress in cotter?
Diameter of spigot of cotter joint given bending stress in cotter is the required diameter of the spigot of the cotter joint when a bending moment acts onto the cotter and is represented as d2 = (4*(b^2)*σb*(tc)/L)-(2*d4) or Diameter of Spigot = (4*(Mean Width of Cotter^2)*Bending Stress in Cotter*(Thickness of cotter)/Load)-(2*Diameter of Socket Collar). The mean Width of Cotter is defined as the average width of the cotter of a cotter joint, Bending Stress in Cotter is defined as the stress that is induced in the cotter subjected to loads that cause it to bend, Thickness of cotter is the measure of how much broad is the cotter in direction perpendicular to axial force, Load is basically the amount of load/force any material, product, joint, can bear or is acted upon or exerts & Diameter of socket collar is the external diameter of collar of the socket of a cotter joint.
How to calculate Diameter of spigot of cotter joint given bending stress in cotter?
Diameter of spigot of cotter joint given bending stress in cotter is the required diameter of the spigot of the cotter joint when a bending moment acts onto the cotter is calculated using Diameter of Spigot = (4*(Mean Width of Cotter^2)*Bending Stress in Cotter*(Thickness of cotter)/Load)-(2*Diameter of Socket Collar). To calculate Diameter of spigot of cotter joint given bending stress in cotter, you need Mean Width of Cotter (b), Bending Stress in Cotter b), Thickness of cotter (tc), Load (L) & Diameter of Socket Collar (d4). With our tool, you need to enter the respective value for Mean Width of Cotter, Bending Stress in Cotter, Thickness of cotter, Load & Diameter of Socket Collar 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 Diameter of Spigot?
In this formula, Diameter of Spigot uses Mean Width of Cotter, Bending Stress in Cotter, Thickness of cotter, Load & Diameter of Socket Collar. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • Diameter of Spigot = Axial tensile or compressive force/(Crushing stress induced in cotter*Thickness of cotter)
  • Diameter of Spigot = (Load)/(2*(Gap between End of Slot to End of Spigot)*Shear Stress in Spigot)
  • Diameter of Spigot = (Diameter of Socket Collar)-((Load)/(2*Axial Distance From Slot to End of Socket Collar*Shear Stress in Socket))
  • Diameter of Spigot = (Diameter of Socket Collar)-((Load)/(Thickness of cotter*Compressive Stress In Spigot))
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