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

✖Length of effort arm is defined as the length of the arm of the lever onto which the effort force is applied.ⓘ Length of Effort Arm [l₁]			+10% -10%
✖Bending Moment in Lever is the reaction induced in the lever when an external force or moment is applied to the lever, causing the lever to bend.ⓘ Bending Moment in Lever [M_b]			+10% -10%
✖Effort on Lever is the force applied on the input of the lever to overcome the resistance to get the work done by the machine.ⓘ Effort on Lever [P]			+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 bending moment and effort force [d₁]

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Formula

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

Formula

`"d"_{"1"} = ("l"_{"1"})-("M"_{"b"}/"P")`

Example

`"12.07483mm"=("900mm")-("261050N*mm"/"294N")`

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

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of Lever Fulcrum Pin = (Length of Effort Arm)-(Bending Moment in Lever/Effort on Lever)
d₁ = (l₁)-(M_b/P)
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.
Length of Effort Arm - (Measured in Meter) - Length of effort arm is defined as the length of the arm of the lever onto which the effort force is applied.
Bending Moment in Lever - (Measured in Newton Meter) - Bending Moment in Lever is the reaction induced in the lever when an external force or moment is applied to the lever, causing the lever to bend.
Effort on Lever - (Measured in Newton) - Effort on Lever is the force applied on the input of the lever to overcome the resistance to get the work done by the machine.

STEP 1: Convert Input(s) to Base Unit

Length of Effort Arm: 900 Millimeter --> 0.9 Meter (Check conversion here)
Bending Moment in Lever: 261050 Newton Millimeter --> 261.05 Newton Meter (Check conversion here)
Effort on Lever: 294 Newton --> 294 Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d₁ = (l₁)-(M_b/P) --> (0.9)-(261.05/294)

Evaluating ... ...

d₁ = 0.0120748299319727

STEP 3: Convert Result to Output's Unit

0.0120748299319727 Meter -->12.0748299319727 Millimeter (Check conversion here)

FINAL ANSWER

12.0748299319727 ≈ 12.07483 Millimeter <-- Diameter of Lever Fulcrum Pin

(Calculation completed in 00.004 seconds)

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Home » Engineering » Mechanical » Machine Design » Design of Lever » Design of Fulcrum Pin » Diameter of fulcrum pin of lever given bending moment and effort force

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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 bending moment and effort force Formula

Diameter of Lever Fulcrum Pin = (Length of Effort Arm)-(Bending Moment in Lever/Effort on Lever)
d₁ = (l₁)-(M_b/P)

How do you calculate mechanical leverage?

Because levers operate by rotational torque, calculate mechanical advantage by using the arm lengths of the lever. Measure the distances between the fulcrum, or balance point of a lever, and each end. Divide the length of the lever's effort arm by the length of its resistance arm.

How to Calculate Diameter of fulcrum pin of lever given bending moment and effort force?

Diameter of fulcrum pin of lever given bending moment and effort force calculator uses Diameter of Lever Fulcrum Pin = (Length of Effort Arm)-(Bending Moment in Lever/Effort on Lever) to calculate the Diameter of Lever Fulcrum Pin, The Diameter of fulcrum pin of lever given bending moment and effort force 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 bending moment and effort force using this online calculator? To use this online calculator for Diameter of fulcrum pin of lever given bending moment and effort force, enter Length of Effort Arm (l₁), Bending Moment in Lever (M_b) & Effort on Lever (P) and hit the calculate button. Here is how the Diameter of fulcrum pin of lever given bending moment and effort force calculation can be explained with given input values -> 12074.83 = (0.9)-(261.05/294).

FAQ

What is Diameter of fulcrum pin of lever given bending moment and effort force?

The Diameter of fulcrum pin of lever given bending moment and effort force is the internal diameter of the fulcrum pin boss or the external diameter of the fulcrum pin and is represented as d₁ = (l₁)-(M_b/P) or Diameter of Lever Fulcrum Pin = (Length of Effort Arm)-(Bending Moment in Lever/Effort on Lever). Length of effort arm is defined as the length of the arm of the lever onto which the effort force is applied, Bending Moment in Lever is the reaction induced in the lever when an external force or moment is applied to the lever, causing the lever to bend & Effort on Lever is the force applied on the input of the lever to overcome the resistance to get the work done by the machine.

How to calculate Diameter of fulcrum pin of lever given bending moment and effort force?

The Diameter of fulcrum pin of lever given bending moment and effort force 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 = (Length of Effort Arm)-(Bending Moment in Lever/Effort on Lever). To calculate Diameter of fulcrum pin of lever given bending moment and effort force, you need Length of Effort Arm (l₁), Bending Moment in Lever (M_b) & Effort on Lever (P). With our tool, you need to enter the respective value for Length of Effort Arm, Bending Moment in Lever & Effort on Lever 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 Length of Effort Arm, Bending Moment in Lever & Effort on Lever. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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