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Load taken by cotter joint rod given tensile stress in rod Solution

STEP 0: Pre-Calculation Summary
Formula Used
Load = (pi*(Diameter of rod^2)*Tensile Stress In Rod)/4
L = (pi*(d^2)*σt)/4
This formula uses 1 Constants, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Diameter of rod - The diameter of rod is defined as the length of the longest chord passing across the rod under considerations. (Measured in Millimeter)
Tensile Stress In Rod - Tensile Stress In Rod is the amount of stress generated into the rod under consideration due to the tensile force onto it. (Measured in Newton per Square Millimeter)
STEP 1: Convert Input(s) to Base Unit
Diameter of rod: 35 Millimeter --> 0.035 Meter (Check conversion here)
Tensile Stress In Rod: 50 Newton per Square Millimeter --> 50000000 Pascal (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
L = (pi*(d^2)*σt)/4 --> (pi*(0.035^2)*50000000)/4
Evaluating ... ...
L = 48105.6375080937
STEP 3: Convert Result to Output's Unit
48105.6375080937 Newton --> No Conversion Required
FINAL ANSWER
48105.6375080937 Newton <-- Load
(Calculation completed in 00.015 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

Load taken by cotter joint rod given tensile stress in rod Formula

Load = (pi*(Diameter of rod^2)*Tensile Stress In Rod)/4
L = (pi*(d^2)*σt)/4

What is a cotter joint?

A cotter joint, also known as a socket and spigot joint, is a method of temporarily joining two coaxial rods. One rod is fitted with a spigot, which fits inside a socket on one end of the other rod. Slots in the socket and the spigot align so that a cotter can be inserted to lock the two rods together.

How to Calculate Load taken by cotter joint rod given tensile stress in rod?

Load taken by cotter joint rod given tensile stress in rod calculator uses Load = (pi*(Diameter of rod^2)*Tensile Stress In Rod)/4 to calculate the Load, Load taken by cotter joint rod given tensile stress in rod is the amount of force beared by the rod of the cotter joint at particular tensile stress generated in it. Load is denoted by L symbol.

How to calculate Load taken by cotter joint rod given tensile stress in rod using this online calculator? To use this online calculator for Load taken by cotter joint rod given tensile stress in rod, enter Diameter of rod (d) & Tensile Stress In Rod t) and hit the calculate button. Here is how the Load taken by cotter joint rod given tensile stress in rod calculation can be explained with given input values -> 48105.64 = (pi*(0.035^2)*50000000)/4.

FAQ

What is Load taken by cotter joint rod given tensile stress in rod?
Load taken by cotter joint rod given tensile stress in rod is the amount of force beared by the rod of the cotter joint at particular tensile stress generated in it and is represented as L = (pi*(d^2)*σt)/4 or Load = (pi*(Diameter of rod^2)*Tensile Stress In Rod)/4. The diameter of rod is defined as the length of the longest chord passing across the rod under considerations & Tensile Stress In Rod is the amount of stress generated into the rod under consideration due to the tensile force onto it.
How to calculate Load taken by cotter joint rod given tensile stress in rod?
Load taken by cotter joint rod given tensile stress in rod is the amount of force beared by the rod of the cotter joint at particular tensile stress generated in it is calculated using Load = (pi*(Diameter of rod^2)*Tensile Stress In Rod)/4. To calculate Load taken by cotter joint rod given tensile stress in rod, you need Diameter of rod (d) & Tensile Stress In Rod t). With our tool, you need to enter the respective value for Diameter of rod & Tensile Stress In Rod 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 Load?
In this formula, Load uses Diameter of rod & Tensile Stress In Rod. We can use 7 other way(s) to calculate the same, which is/are as follows -
  • Load = (((pi/4)*(Diameter of Spigot)^2)-(Diameter of Spigot*Thickness of cotter))*Permissible tensile stress
  • Load = (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))
  • Load = (2*(Thickness of cotter)*Mean Width of Cotter*(Shear Stress in Cotter))
  • Load = (2*(Gap between End of Slot to End of Spigot)*Diameter of Spigot*(Shear Stress in Spigot))
  • Load = 2*(Diameter of Socket Collar-Diameter of Spigot)*Axial Distance From Slot to End of Socket Collar*(Shear Stress in Socket)
  • Load = (Compressive Stress In Socket)*(Diameter of Socket Collar-Diameter of Spigot)*Thickness of cotter
  • Load = (Thickness of cotter*Diameter of Spigot*(Compressive Stress In Spigot))
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