Diameter of fulcrum pin given compressive stress in pin Calculator

✖The Force at Lever Fulcrum Pin is the force exerted at the pivot point of a lever, crucial for understanding the lever's mechanical advantage and performance.ⓘ Force at Lever Fulcrum Pin [R_f]			+10% -10%
✖The Compressive Stress in Fulcrum Pin is the internal force per unit area experienced by the pin due to loads applied during lever operation, affecting its structural integrity.ⓘ Compressive Stress in Fulcrum Pin [σt_fp]			+10% -10%
✖The Length of Pin Boss is the distance from the center of the pin to the surface of the lever, crucial for ensuring proper fit and function in mechanical designs.ⓘ Length of Pin Boss [l]			+10% -10%

✖The Diameter of Lever Fulcrum Pin is the measurement across the pin that serves as the pivot point in a lever system, affecting its mechanical advantage and stability.ⓘ Diameter of fulcrum pin given compressive stress in pin [d₁]

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Diameter of fulcrum pin given compressive stress in pin Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of Lever Fulcrum Pin = Force at Lever Fulcrum Pin/(Compressive Stress in Fulcrum Pin*Length of Pin Boss)
d₁ = R_f/(σt_fp*l)
This formula uses 4 Variables

Variables Used

Diameter of Lever Fulcrum Pin - (Measured in Meter) - The Diameter of Lever Fulcrum Pin is the measurement across the pin that serves as the pivot point in a lever system, affecting its mechanical advantage and stability.
Force at Lever Fulcrum Pin - (Measured in Newton) - The Force at Lever Fulcrum Pin is the force exerted at the pivot point of a lever, crucial for understanding the lever's mechanical advantage and performance.
Compressive Stress in Fulcrum Pin - (Measured in Pascal) - The Compressive Stress in Fulcrum Pin is the internal force per unit area experienced by the pin due to loads applied during lever operation, affecting its structural integrity.
Length of Pin Boss - (Measured in Meter) - The Length of Pin Boss is the distance from the center of the pin to the surface of the lever, crucial for ensuring proper fit and function in mechanical designs.

STEP 1: Convert Input(s) to Base Unit

Force at Lever Fulcrum Pin: 2964 Newton --> 2964 Newton No Conversion Required
Compressive Stress in Fulcrum Pin: 25.9 Newton per Square Millimeter --> 25900000 Pascal (Check conversion here)
Length of Pin Boss: 9.242006 Millimeter --> 0.009242006 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d₁ = R_f/(σt_fp*l) --> 2964/(25900000*0.009242006)

Evaluating ... ...

d₁ = 0.0123826098403479

STEP 3: Convert Result to Output's Unit

0.0123826098403479 Meter -->12.3826098403479 Millimeter (Check conversion here)

FINAL ANSWER

12.3826098403479 ≈ 12.38261 Millimeter <-- Diameter of Lever Fulcrum Pin

(Calculation completed in 00.006 seconds)

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< 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)

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)

Diameter of fulcrum pin given compressive stress in pin Formula

Diameter of Lever Fulcrum Pin = Force at Lever Fulcrum Pin/(Compressive Stress in Fulcrum Pin*Length of Pin Boss)
d₁ = R_f/(σt_fp*l)

What is a first class lever?

First-class levers have the fulcrum between the force and the load. In using a screwdriver to lift the lid from a paint tin you are moving the effort over a greater distance than the load. By having the fulcrum (the rim of the tin) close to the lid (the load) a larger force can be applied to the load to open the tin.
This means you are reducing the effort required, this is what first-class levers do best. Other examples of first-class levers are pliers, scissors, a crowbar, a claw hammer, a see-saw, and a weighing balance.
In summary, in a first-class lever, the effort (force) moves over a large distance to move the load a smaller distance, and the fulcrum is between the effort (force) and the load. As the ratio of effort (force) arm length to load arm length increases the mechanical advantage of a first-class lever increases.
Archimedes referred to a first-class lever in his famous quote “Give me one firm spot on which to rest (a fulcrum) and I will move the Earth”

How to Calculate Diameter of fulcrum pin given compressive stress in pin?

Diameter of fulcrum pin given compressive stress in pin calculator uses Diameter of Lever Fulcrum Pin = Force at Lever Fulcrum Pin/(Compressive Stress in Fulcrum Pin*Length of Pin Boss) to calculate the Diameter of Lever Fulcrum Pin, Diameter of fulcrum pin given compressive stress in pin formula is defined as a method to determine the diameter of a fulcrum pin based on the compressive stress and load conditions in a lever system. Diameter of Lever Fulcrum Pin is denoted by d₁ symbol.

How to calculate Diameter of fulcrum pin given compressive stress in pin using this online calculator? To use this online calculator for Diameter of fulcrum pin given compressive stress in pin, enter Force at Lever Fulcrum Pin (R_f), Compressive Stress in Fulcrum Pin (σt_fp) & Length of Pin Boss (l) and hit the calculate button. Here is how the Diameter of fulcrum pin given compressive stress in pin calculation can be explained with given input values -> 12382.61 = 2964/(25900000*0.009242006).

FAQ

What is Diameter of fulcrum pin given compressive stress in pin?

Diameter of fulcrum pin given compressive stress in pin formula is defined as a method to determine the diameter of a fulcrum pin based on the compressive stress and load conditions in a lever system and is represented as d₁ = R_f/(σt_fp*l) or Diameter of Lever Fulcrum Pin = Force at Lever Fulcrum Pin/(Compressive Stress in Fulcrum Pin*Length of Pin Boss). The Force at Lever Fulcrum Pin is the force exerted at the pivot point of a lever, crucial for understanding the lever's mechanical advantage and performance, The Compressive Stress in Fulcrum Pin is the internal force per unit area experienced by the pin due to loads applied during lever operation, affecting its structural integrity & The Length of Pin Boss is the distance from the center of the pin to the surface of the lever, crucial for ensuring proper fit and function in mechanical designs.

How to calculate Diameter of fulcrum pin given compressive stress in pin?

Diameter of fulcrum pin given compressive stress in pin formula is defined as a method to determine the diameter of a fulcrum pin based on the compressive stress and load conditions in a lever system is calculated using Diameter of Lever Fulcrum Pin = Force at Lever Fulcrum Pin/(Compressive Stress in Fulcrum Pin*Length of Pin Boss). To calculate Diameter of fulcrum pin given compressive stress in pin, you need Force at Lever Fulcrum Pin (R_f), Compressive Stress in Fulcrum Pin (σt_fp) & Length of Pin Boss (l). With our tool, you need to enter the respective value for Force at Lever Fulcrum Pin, Compressive Stress in Fulcrum Pin & Length of Pin Boss 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, Compressive Stress in Fulcrum Pin & Length of Pin Boss. 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/(Bearing Pressure in Fulcrum Pin of Lever*Length of Lever Fulcrum Pin)

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