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Inside diameter of socket of cotter joint given shear stress in socket Solution

STEP 0: Pre-Calculation Summary
Formula Used
Diameter of Spigot = (Diameter of Socket Collar)-((Load)/(2*Axial Distance From Slot to End of Socket Collar*Shear Stress in Socket))
d2 = (d4)-((L)/(2*c*τ))
This formula uses 4 Variables
Variables Used
Diameter of Socket Collar - Diameter of socket collar is the external diameter of collar of the socket of a cotter joint. (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)
Axial Distance From Slot to End of Socket Collar - Axial Distance From Slot to End of Socket Collar is the distance between the slot for cotter to the end of socket collar measured along the socket axis. (Measured in Millimeter)
Shear Stress in Socket - Shear Stress in Socket is the amount of stress (cause deformation by slippage along a plane parallel to the imposed stress) generated into the socket due to the shear force acting on it. (Measured in Newton per Square Millimeter)
STEP 1: Convert Input(s) to Base Unit
Diameter of Socket Collar: 100 Millimeter --> 0.1 Meter (Check conversion here)
Load: 5250 Newton --> 5250 Newton No Conversion Required
Axial Distance From Slot to End of Socket Collar: 12 Millimeter --> 0.012 Meter (Check conversion here)
Shear Stress in Socket: 25 Newton per Square Millimeter --> 25000000 Pascal (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
d2 = (d4)-((L)/(2*c*τ)) --> (0.1)-((5250)/(2*0.012*25000000))
Evaluating ... ...
d2 = 0.09125
STEP 3: Convert Result to Output's Unit
0.09125 Meter -->91.25 Millimeter (Check conversion here)
FINAL ANSWER
91.25 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

Inside diameter of socket of cotter joint given shear stress in socket Formula

Diameter of Spigot = (Diameter of Socket Collar)-((Load)/(2*Axial Distance From Slot to End of Socket Collar*Shear Stress in Socket))
d2 = (d4)-((L)/(2*c*τ))

Why is the cotter given a taper?

Generally, the value of taper on cotter is 1 in 48 to 1 in 24 and it provides mainly two benefits: First, this tapper is easy to remove and makes disassembling of joint a simple process. Second, the tapper also ensures the tightness of the joints and prevents the parts from loosening.

How to Calculate Inside diameter of socket of cotter joint given shear stress in socket?

Inside diameter of socket of cotter joint given shear stress in socket calculator uses Diameter of Spigot = (Diameter of Socket Collar)-((Load)/(2*Axial Distance From Slot to End of Socket Collar*Shear Stress in Socket)) to calculate the Diameter of Spigot, Inside diameter of socket of cotter joint given shear stress in socket ia the diameter of the internal surface of the socket of a cotter joint which is in direct contact with the spigot's outer surface. Diameter of Spigot is denoted by d2 symbol.

How to calculate Inside diameter of socket of cotter joint given shear stress in socket using this online calculator? To use this online calculator for Inside diameter of socket of cotter joint given shear stress in socket, enter Diameter of Socket Collar (d4), Load (L), Axial Distance From Slot to End of Socket Collar (c) & Shear Stress in Socket (τ) and hit the calculate button. Here is how the Inside diameter of socket of cotter joint given shear stress in socket calculation can be explained with given input values -> 91.25 = (0.1)-((5250)/(2*0.012*25000000)).

FAQ

What is Inside diameter of socket of cotter joint given shear stress in socket?
Inside diameter of socket of cotter joint given shear stress in socket ia the diameter of the internal surface of the socket of a cotter joint which is in direct contact with the spigot's outer surface and is represented as d2 = (d4)-((L)/(2*c*τ)) or Diameter of Spigot = (Diameter of Socket Collar)-((Load)/(2*Axial Distance From Slot to End of Socket Collar*Shear Stress in Socket)). Diameter of socket collar is the external diameter of collar of the socket of a cotter joint, Load is basically the amount of load/force any material, product, joint, can bear or is acted upon or exerts, Axial Distance From Slot to End of Socket Collar is the distance between the slot for cotter to the end of socket collar measured along the socket axis & Shear Stress in Socket is the amount of stress (cause deformation by slippage along a plane parallel to the imposed stress) generated into the socket due to the shear force acting on it.
How to calculate Inside diameter of socket of cotter joint given shear stress in socket?
Inside diameter of socket of cotter joint given shear stress in socket ia the diameter of the internal surface of the socket of a cotter joint which is in direct contact with the spigot's outer surface is calculated using Diameter of Spigot = (Diameter of Socket Collar)-((Load)/(2*Axial Distance From Slot to End of Socket Collar*Shear Stress in Socket)). To calculate Inside diameter of socket of cotter joint given shear stress in socket, you need Diameter of Socket Collar (d4), Load (L), Axial Distance From Slot to End of Socket Collar (c) & Shear Stress in Socket (τ). With our tool, you need to enter the respective value for Diameter of Socket Collar, Load, Axial Distance From Slot to End of Socket Collar & Shear Stress in Socket 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 Diameter of Socket Collar, Load, Axial Distance From Slot to End of Socket Collar & Shear Stress in Socket. 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)/(Thickness of cotter*Compressive Stress In Spigot))
  • Diameter of Spigot = (4*(Mean Width of Cotter^2)*Bending Stress in Cotter*(Thickness of cotter)/Load)-(2*Diameter of Socket Collar)
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