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Diameter of rod of knuckle joint given tensile stress in rod Solution

STEP 0: Pre-Calculation Summary
Formula Used
Diameter of rod = sqrt((4*Load on Knuckle Joint)/(pi*(Tensile Stress In Rod)))
d = sqrt((4*L)/(pi*(σt)))
This formula uses 1 Constants, 1 Functions, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Load on Knuckle Joint - Load on Knuckle Joint is basically the amount of load/force any part, product, or joint of a knuckle joint can bear or is acted upon or exerts. (Measured in Newton)
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
Load on Knuckle Joint: 50000 Newton --> 50000 Newton No Conversion Required
Tensile Stress In Rod: 50 Newton per Square Millimeter --> 50000000 Pascal (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
d = sqrt((4*L)/(pi*(σt))) --> sqrt((4*50000)/(pi*(50000000)))
Evaluating ... ...
d = 0.0356824823230554
STEP 3: Convert Result to Output's Unit
0.0356824823230554 Meter -->35.6824823230554 Millimeter (Check conversion here)
FINAL ANSWER
35.6824823230554 Millimeter <-- Diameter of rod
(Calculation completed in 00.016 seconds)

10+ Design of Knuckle Joint Calculators

Compressive stress in pin inside fork of knuckle joint given load and pin dimensions
Compressive Stress in Pin = Load on Knuckle Joint/(2*(Thickess of Fork Eye of Knuckle Joint)*Diameter of Knuckle Pin) Go
Diameter of pin of knuckle joint given load and shear stress in pin
Diameter of Knuckle Pin = sqrt((2*Load on Knuckle Joint)/(pi*(Shear Stress in Pin))) Go
Diameter of rod of knuckle joint given tensile stress in rod
Diameter of rod = sqrt((4*Load on Knuckle Joint)/(pi*(Tensile Stress In Rod))) Go
Compressive stress in pin inside eye of knuckle joint given load and pin dimensions
Compressive Stress in Pin = Load on Knuckle Joint/(Thickess of Eye of Knuckle Joint*Diameter of Knuckle Pin) Go
Diameter of pin of knuckle joint given compressive stress in eye end portion of pin
Diameter of Knuckle Pin = Load on Knuckle Joint/(Compressive Stress in Pin*Thickess of Eye of Knuckle Joint) Go
Length of pin of knuckle joint in contact with the eye end
Length of Pin in Eye End = Load on Knuckle Joint/(Compressive Stress in Pin*Diameter of Knuckle Pin) Go
Shear stress in pin of knuckle joint given load and pin diameter
Shear Stress in Pin = (2*Load on Knuckle Joint)/(pi*(Diameter of Knuckle Pin^2)) Go
Tensile stress in rod of knuckle joint
Tensile Stress In Rod = (4*Load on Knuckle Joint)/(pi*(Diameter of rod^2)) Go
Diameter of rod of knuckle joint given its enlarged diameter near the joint
Diameter of rod = Enlarged Diameter of Rod/1.1 Go
Enlarged Diameter of rod of knuckle joint near the joint
Enlarged Diameter of Rod = 1.1*Diameter of rod Go

Diameter of rod of knuckle joint given tensile stress in rod Formula

Diameter of rod = sqrt((4*Load on Knuckle Joint)/(pi*(Tensile Stress In Rod)))
d = sqrt((4*L)/(pi*(σt)))

What is a Prismatic joint?

A prismatic joint provides a linear sliding movement between two bodies and is often called a slider, as in the slider-crank linkage. A prismatic pair is also called a sliding pair. A prismatic joint can be formed with a polygonal cross-section to resist rotation. The relative position of two bodies connected by a prismatic joint is defined by the amount of linear slide of one relative to the other one. This one parameter movement identifies this joint as one degree of freedom kinematic pair. Prismatic joints provide single-axis sliding often found in hydraulic and pneumatic cylinders.

How to Calculate Diameter of rod of knuckle joint given tensile stress in rod?

Diameter of rod of knuckle joint given tensile stress in rod calculator uses Diameter of rod = sqrt((4*Load on Knuckle Joint)/(pi*(Tensile Stress In Rod))) to calculate the Diameter of rod, The Diameter of rod of knuckle joint given tensile stress in rod is the diameter of the rod at the ends of the fork and eye of the knuckle joint. Diameter of rod is denoted by d symbol.

How to calculate Diameter of rod of knuckle joint given tensile stress in rod using this online calculator? To use this online calculator for Diameter of rod of knuckle joint given tensile stress in rod, enter Load on Knuckle Joint (L) & Tensile Stress In Rod t) and hit the calculate button. Here is how the Diameter of rod of knuckle joint given tensile stress in rod calculation can be explained with given input values -> 35.68248 = sqrt((4*50000)/(pi*(50000000))).

FAQ

What is Diameter of rod of knuckle joint given tensile stress in rod?
The Diameter of rod of knuckle joint given tensile stress in rod is the diameter of the rod at the ends of the fork and eye of the knuckle joint and is represented as d = sqrt((4*L)/(pi*(σt))) or Diameter of rod = sqrt((4*Load on Knuckle Joint)/(pi*(Tensile Stress In Rod))). Load on Knuckle Joint is basically the amount of load/force any part, product, or joint of a knuckle joint can bear or is acted upon or exerts & 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 Diameter of rod of knuckle joint given tensile stress in rod?
The Diameter of rod of knuckle joint given tensile stress in rod is the diameter of the rod at the ends of the fork and eye of the knuckle joint is calculated using Diameter of rod = sqrt((4*Load on Knuckle Joint)/(pi*(Tensile Stress In Rod))). To calculate Diameter of rod of knuckle joint given tensile stress in rod, you need Load on Knuckle Joint (L) & Tensile Stress In Rod t). With our tool, you need to enter the respective value for Load on Knuckle Joint & 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 Diameter of rod?
In this formula, Diameter of rod uses Load on Knuckle Joint & Tensile Stress In Rod. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Diameter of rod = Enlarged Diameter of Rod/1.1
  • Diameter of rod = Thickess of Eye of Knuckle Joint/1.25
  • Diameter of rod = Thickess of Fork Eye of Knuckle Joint/0.75
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