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

STEP 0: Pre-Calculation Summary
Formula Used
Compressive Stress in Fulcrum Pin = Force at Lever Fulcrum Pin/(Diameter of Lever Fulcrum Pin*Length of Pin Boss)
σtfp = Rf/(d1*l)
This formula uses 4 Variables
Variables Used
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.
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.
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.
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
Diameter of Lever Fulcrum Pin: 12.3913 Millimeter --> 0.0123913 Meter (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
σtfp = Rf/(d1*l) --> 2964/(0.0123913*0.009242006)
Evaluating ... ...
σtfp = 25881836.0353644
STEP 3: Convert Result to Output's Unit
25881836.0353644 Pascal -->25.8818360353644 Newton per Square Millimeter (Check conversion ​here)
FINAL ANSWER
25.8818360353644 25.88184 Newton per Square Millimeter <-- Compressive Stress in Fulcrum Pin
(Calculation completed in 00.021 seconds)

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Design of Fulcrum Pin Calculators

Bearing pressure in fulcrum pin of lever given reaction force and diameter of pin
​ LaTeX ​ 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
​ LaTeX ​ 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
​ LaTeX ​ 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
​ LaTeX ​ Go Diameter of Lever Fulcrum Pin = (Length of Effort Arm)-(Bending Moment in Lever/Effort on Lever)

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

​LaTeX ​Go
Compressive Stress in Fulcrum Pin = Force at Lever Fulcrum Pin/(Diameter of Lever Fulcrum Pin*Length of Pin Boss)
σtfp = Rf/(d1*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 Compressive stress in fulcrum pin of lever given reaction force, depth of lever arm?

Compressive stress in fulcrum pin of lever given reaction force, depth of lever arm calculator uses Compressive Stress in Fulcrum Pin = Force at Lever Fulcrum Pin/(Diameter of Lever Fulcrum Pin*Length of Pin Boss) to calculate the Compressive Stress in Fulcrum Pin, Compressive stress in fulcrum pin of lever given reaction force, depth of lever arm formula is defined as a measure of the compressive force per unit area on the fulcrum pin of a lever, considering the reaction force and lever arm depth. Compressive Stress in Fulcrum Pin is denoted by σtfp symbol.

How to calculate Compressive stress in fulcrum pin of lever given reaction force, depth of lever arm using this online calculator? To use this online calculator for Compressive stress in fulcrum pin of lever given reaction force, depth of lever arm, enter Force at Lever Fulcrum Pin (Rf), Diameter of Lever Fulcrum Pin (d1) & Length of Pin Boss (l) and hit the calculate button. Here is how the Compressive stress in fulcrum pin of lever given reaction force, depth of lever arm calculation can be explained with given input values -> 2.8E-5 = 2964/(0.0123913*0.009242006).

FAQ

What is Compressive stress in fulcrum pin of lever given reaction force, depth of lever arm?
Compressive stress in fulcrum pin of lever given reaction force, depth of lever arm formula is defined as a measure of the compressive force per unit area on the fulcrum pin of a lever, considering the reaction force and lever arm depth and is represented as σtfp = Rf/(d1*l) or Compressive Stress in Fulcrum Pin = Force at Lever Fulcrum Pin/(Diameter of Lever 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 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 & 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 Compressive stress in fulcrum pin of lever given reaction force, depth of lever arm?
Compressive stress in fulcrum pin of lever given reaction force, depth of lever arm formula is defined as a measure of the compressive force per unit area on the fulcrum pin of a lever, considering the reaction force and lever arm depth is calculated using Compressive Stress in Fulcrum Pin = Force at Lever Fulcrum Pin/(Diameter of Lever Fulcrum Pin*Length of Pin Boss). To calculate Compressive stress in fulcrum pin of lever given reaction force, depth of lever arm, you need Force at Lever Fulcrum Pin (Rf), Diameter of Lever Fulcrum Pin (d1) & Length of Pin Boss (l). With our tool, you need to enter the respective value for Force at Lever Fulcrum Pin, Diameter of Lever 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.
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