Diameter of fulcrum pin of lever given reaction force and bearing pressure Calculator

✖Force at Lever Fulcrum Pin is the force acting onto the fulcrum pin (the pivot about which a lever turns) used as a joint at a fulcrum point.ⓘ Force at Lever Fulcrum Pin [R_f]			+10% -10%
✖Bearing Pressure in Fulcrum Pin of Lever is the compressive force acting on the contact area between two components having no relative motion between them.ⓘ Bearing Pressure in Fulcrum Pin of Lever [P_b]			+10% -10%
✖Length of Lever Fulcrum Pin is the total length of the pin used at the fulcrum joint of a lever.ⓘ Length of Lever Fulcrum Pin [l_f]			+10% -10%

✖Diameter of Lever Fulcrum Pin is the diameter of the pin used at the fulcrum joint of a lever.ⓘ Diameter of fulcrum pin of lever given reaction force and bearing pressure [d₁]

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Formula

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Diameter of fulcrum pin of lever given reaction force and bearing pressure

Formula

`"d"_{"1"} = "R"_{"f"}/("P"_{"b"}*"l"_{"f"})`

Example

`"12.38261mm"="3560N"/("25N/mm²"*"11.5mm")`

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Diameter of fulcrum pin of lever given reaction force and bearing pressure Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of Lever Fulcrum Pin = Force at Lever Fulcrum Pin/(Bearing Pressure in Fulcrum Pin of Lever*Length of Lever Fulcrum Pin)
d₁ = R_f/(P_b*l_f)
This formula uses 4 Variables

Variables Used

Diameter of Lever Fulcrum Pin - (Measured in Meter) - Diameter of Lever Fulcrum Pin is the diameter of the pin used at the fulcrum joint of a lever.
Force at Lever Fulcrum Pin - (Measured in Newton) - Force at Lever Fulcrum Pin is the force acting onto the fulcrum pin (the pivot about which a lever turns) used as a joint at a fulcrum point.
Bearing Pressure in Fulcrum Pin of Lever - (Measured in Pascal) - Bearing Pressure in Fulcrum Pin of Lever is the compressive force acting on the contact area between two components having no relative motion between them.
Length of Lever Fulcrum Pin - (Measured in Meter) - Length of Lever Fulcrum Pin is the total length of the pin used at the fulcrum joint of a lever.

STEP 1: Convert Input(s) to Base Unit

Force at Lever Fulcrum Pin: 3560 Newton --> 3560 Newton No Conversion Required
Bearing Pressure in Fulcrum Pin of Lever: 25 Newton per Square Millimeter --> 25000000 Pascal (Check conversion here)
Length of Lever Fulcrum Pin: 11.5 Millimeter --> 0.0115 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d₁ = R_f/(P_b*l_f) --> 3560/(25000000*0.0115)

Evaluating ... ...

d₁ = 0.0123826086956522

STEP 3: Convert Result to Output's Unit

0.0123826086956522 Meter -->12.3826086956522 Millimeter (Check conversion here)

FINAL ANSWER

12.3826086956522 ≈ 12.38261 Millimeter <-- Diameter of Lever Fulcrum Pin

(Calculation completed in 00.020 seconds)

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Home » Engineering » Mechanical » Machine Design » Design of Lever » Design of Fulcrum Pin » Diameter of fulcrum pin of lever given reaction force and bearing pressure

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< 8 Design of Fulcrum Pin Calculators

Bearing pressure in fulcrum pin of lever given reaction force and diameter of pin

Go Bearing Pressure in Fulcrum Pin of Lever = Force at Lever Fulcrum Pin/(Diameter of Lever Fulcrum Pin*Length of Lever Fulcrum Pin)

Diameter of fulcrum pin of lever given reaction force and bearing pressure

Go Diameter of Lever Fulcrum Pin = Force at Lever Fulcrum Pin/(Bearing Pressure in Fulcrum Pin of Lever*Length of Lever Fulcrum Pin)

Length of flucrum pin of lever given reaction force and bearing pressure

Go Length of Lever Fulcrum Pin = Force at Lever Fulcrum Pin/(Bearing Pressure in Fulcrum Pin of Lever*Diameter of Lever Fulcrum Pin)

Compressive stress in fulcrum pin of lever given reaction force, depth of lever arm

Go Compressive Stress in Fulcrum Pin = Force at Lever Fulcrum Pin/(Diameter of Lever Fulcrum Pin*Length of Pin Boss)

Length of fulcrum pin boss given compressive stress in pin

Go Length of Pin Boss = Force at Lever Fulcrum Pin/(Compressive Stress in Fulcrum Pin*Diameter of Lever Fulcrum Pin)

Diameter of fulcrum pin given compressive stress in pin

Go Diameter of Lever Fulcrum Pin = Force at Lever Fulcrum Pin/(Compressive Stress in Fulcrum Pin*Length of Pin Boss)

Diameter of fulcrum pin of lever given bending moment and effort force

Go Diameter of Lever Fulcrum Pin = (Length of Effort Arm)-(Bending Moment in Lever/Effort on Lever)

Maximum length of flucrum pin of lever given diameter of fulcrum pin

Go Length of Lever Fulcrum Pin = 2*Diameter of Lever Fulcrum Pin

Diameter of fulcrum pin of lever given reaction force and bearing pressure Formula

Diameter of Lever Fulcrum Pin = Force at Lever Fulcrum Pin/(Bearing Pressure in Fulcrum Pin of Lever*Length of Lever Fulcrum Pin)
d₁ = R_f/(P_b*l_f)

Principal Of Lever

A lever works by reducing the amount of force needed to move an object or lift a load. A lever does this by increasing the distance through which the force acts. Instead, they make the work easier by spreading out the effort over a longer distance.
It has been practically found that when two equal forces acting in opposite directions, i.e., clockwise and counterclockwise, are applied to a uniform lever at equal distances from the fulcrum, they counteract each other and establish a state of equilibrium in the lever.

How to Calculate Diameter of fulcrum pin of lever given reaction force and bearing pressure?

Diameter of fulcrum pin of lever given reaction force and bearing pressure calculator uses Diameter of Lever Fulcrum Pin = Force at Lever Fulcrum Pin/(Bearing Pressure in Fulcrum Pin of Lever*Length of Lever Fulcrum Pin) to calculate the Diameter of Lever Fulcrum Pin, The Diameter of fulcrum pin of lever given reaction force and bearing pressure is the internal diameter of the fulcrum pin boss or the external diameter of the fulcrum pin. Diameter of Lever Fulcrum Pin is denoted by d₁ symbol.

How to calculate Diameter of fulcrum pin of lever given reaction force and bearing pressure using this online calculator? To use this online calculator for Diameter of fulcrum pin of lever given reaction force and bearing pressure, enter Force at Lever Fulcrum Pin (R_f), Bearing Pressure in Fulcrum Pin of Lever (P_b) & Length of Lever Fulcrum Pin (l_f) and hit the calculate button. Here is how the Diameter of fulcrum pin of lever given reaction force and bearing pressure calculation can be explained with given input values -> 12382.61 = 3560/(25000000*0.0115).

FAQ

What is Diameter of fulcrum pin of lever given reaction force and bearing pressure?

The Diameter of fulcrum pin of lever given reaction force and bearing pressure is the internal diameter of the fulcrum pin boss or the external diameter of the fulcrum pin and is represented as d₁ = R_f/(P_b*l_f) or Diameter of Lever Fulcrum Pin = Force at Lever Fulcrum Pin/(Bearing Pressure in Fulcrum Pin of Lever*Length of Lever Fulcrum Pin). Force at Lever Fulcrum Pin is the force acting onto the fulcrum pin (the pivot about which a lever turns) used as a joint at a fulcrum point, Bearing Pressure in Fulcrum Pin of Lever is the compressive force acting on the contact area between two components having no relative motion between them & Length of Lever Fulcrum Pin is the total length of the pin used at the fulcrum joint of a lever.

How to calculate Diameter of fulcrum pin of lever given reaction force and bearing pressure?

The Diameter of fulcrum pin of lever given reaction force and bearing pressure is the internal diameter of the fulcrum pin boss or the external diameter of the fulcrum pin is calculated using Diameter of Lever Fulcrum Pin = Force at Lever Fulcrum Pin/(Bearing Pressure in Fulcrum Pin of Lever*Length of Lever Fulcrum Pin). To calculate Diameter of fulcrum pin of lever given reaction force and bearing pressure, you need Force at Lever Fulcrum Pin (R_f), Bearing Pressure in Fulcrum Pin of Lever (P_b) & Length of Lever Fulcrum Pin (l_f). With our tool, you need to enter the respective value for Force at Lever Fulcrum Pin, Bearing Pressure in Fulcrum Pin of Lever & Length of Lever Fulcrum Pin 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 Lever Fulcrum Pin?

In this formula, Diameter of Lever Fulcrum Pin uses Force at Lever Fulcrum Pin, Bearing Pressure in Fulcrum Pin of Lever & Length of Lever Fulcrum Pin. We can use 2 other way(s) to calculate the same, which is/are as follows -

Diameter of Lever Fulcrum Pin = (Length of Effort Arm)-(Bending Moment in Lever/Effort on Lever)
Diameter of Lever Fulcrum Pin = Force at Lever Fulcrum Pin/(Compressive Stress in Fulcrum Pin*Length of Pin Boss)

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