✖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.ⓘ Load on Knuckle Joint [L]			+10% -10%
✖Tensile Stress in Knuckle Joint Rod is the amount of stress generated into the rod due to the tensile force onto it.ⓘ Tensile Stress in Knuckle Joint Rod [σ_t]			+10% -10%

✖Diameter of Knuckle Joint is the length of the largest cord of the circular face of the knuckle joint.ⓘ Diameter of Rod of Knuckle Joint given Tensile Stress in Rod [d_r]

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Formula

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Diameter of Rod of Knuckle Joint given Tensile Stress in Rod

Formula

`"d"_{"r"} = sqrt((4*"L")/(pi*"σ"_{"t"}))`

Example

`"33.85138mm"=sqrt((4*"45000N")/(pi*"50N/mm²"))`

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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 Knuckle Joint = sqrt((4*Load on Knuckle Joint)/(pi*Tensile Stress in Knuckle Joint Rod))
d_r = sqrt((4*L)/(pi*σ_t))
This formula uses 1 Constants, 1 Functions, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Diameter of Knuckle Joint - (Measured in Meter) - Diameter of Knuckle Joint is the length of the largest cord of the circular face of the knuckle joint.
Load on Knuckle Joint - (Measured in Newton) - 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 Knuckle Joint Rod - (Measured in Pascal) - Tensile Stress in Knuckle Joint Rod is the amount of stress generated into the rod due to the tensile force onto it.

STEP 1: Convert Input(s) to Base Unit

Load on Knuckle Joint: 45000 Newton --> 45000 Newton No Conversion Required
Tensile Stress in Knuckle Joint Rod: 50 Newton per Square Millimeter --> 50000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_r = sqrt((4*L)/(pi*σ_t)) --> sqrt((4*45000)/(pi*50000000))

Evaluating ... ...

d_r = 0.0338513750128654

STEP 3: Convert Result to Output's Unit

0.0338513750128654 Meter -->33.8513750128654 Millimeter (Check conversion here)

FINAL ANSWER

33.8513750128654 ≈ 33.85138 Millimeter <-- Diameter of Knuckle Joint

(Calculation completed in 00.020 seconds)

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Home » Physics » Design of Machine Elements » Design of Coupling » Design of Knuckle Joint » Mechanical » Rod » Diameter of Rod of Knuckle Joint given Tensile Stress in Rod

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< 5 Rod Calculators

Diameter of Rod of Knuckle Joint given Tensile Stress in Rod

Go Diameter of Knuckle Joint = sqrt((4*Load on Knuckle Joint)/(pi*Tensile Stress in Knuckle Joint Rod))

Diameter of Rod of Knuckle Joint given its Enlarged Diameter near Joint

Go Diameter of Knuckle Joint = Enlarged Diameter of Knuckle Joint Rod/1.1

Rod Diameter of Knuckle Joint given Thickness of Fork Eye

Go Diameter of Knuckle Joint = Thickess of Fork Eye of Knuckle Joint/0.75

Enlarged Diameter of Rod of Knuckle Joint near Joint

Go Enlarged Diameter of Knuckle Joint Rod = 1.1*Diameter of Knuckle Joint

Rod Diameter of Knuckle Joint given Thickness of Eye

Go Diameter of Knuckle Joint = Thickess of Eye of Knuckle Joint/1.25

Diameter of Rod of Knuckle Joint given Tensile Stress in Rod Formula

Diameter of Knuckle Joint = sqrt((4*Load on Knuckle Joint)/(pi*Tensile Stress in Knuckle Joint Rod))
d_r = sqrt((4*L)/(pi*σ_t))

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 Knuckle Joint = sqrt((4*Load on Knuckle Joint)/(pi*Tensile Stress in Knuckle Joint Rod)) to calculate the Diameter of Knuckle Joint, 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 Knuckle Joint is denoted by d_r 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 Knuckle Joint Rod (σ_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 -> 35682.48 = sqrt((4*45000)/(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_r = sqrt((4*L)/(pi*σ_t)) or Diameter of Knuckle Joint = sqrt((4*Load on Knuckle Joint)/(pi*Tensile Stress in Knuckle Joint 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 Knuckle Joint Rod is the amount of stress generated into the rod 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 Knuckle Joint = sqrt((4*Load on Knuckle Joint)/(pi*Tensile Stress in Knuckle Joint Rod)). To calculate Diameter of Rod of Knuckle Joint given Tensile Stress in Rod, you need Load on Knuckle Joint (L) & Tensile Stress in Knuckle Joint Rod (σ_t). With our tool, you need to enter the respective value for Load on Knuckle Joint & Tensile Stress in Knuckle Joint 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 Knuckle Joint?

In this formula, Diameter of Knuckle Joint uses Load on Knuckle Joint & Tensile Stress in Knuckle Joint Rod. We can use 3 other way(s) to calculate the same, which is/are as follows -

Diameter of Knuckle Joint = Enlarged Diameter of Knuckle Joint Rod/1.1
Diameter of Knuckle Joint = Thickess of Eye of Knuckle Joint/1.25
Diameter of Knuckle Joint = Thickess of Fork Eye of Knuckle Joint/0.75

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