Length of effort arm of lever given bending moment Calculator

✖Diameter of Lever Fulcrum Pin is the diameter of the pin used at the fulcrum joint of a lever.ⓘ Diameter of Lever Fulcrum Pin [d₁]			+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%

✖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 of lever given bending moment [l₁]

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Formula

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Length of effort arm of lever given bending moment

Formula

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

Example

`"899.5252mm"=("11.6mm")+("261050N*mm"/"294N")`

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Length of effort arm of lever given bending moment Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Effort Arm = (Diameter of Lever Fulcrum Pin)+(Bending Moment in Lever/Effort on Lever)
l₁ = (d₁)+(M_b/P)
This formula uses 4 Variables

Variables Used

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.
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.
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

Diameter of Lever Fulcrum Pin: 11.6 Millimeter --> 0.0116 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

l₁ = (d₁)+(M_b/P) --> (0.0116)+(261.05/294)

Evaluating ... ...

l₁ = 0.899525170068027

STEP 3: Convert Result to Output's Unit

0.899525170068027 Meter -->899.525170068027 Millimeter (Check conversion here)

FINAL ANSWER

899.525170068027 ≈ 899.5252 Millimeter <-- Length of Effort Arm

(Calculation completed in 00.004 seconds)

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Created by Saurabh Patil

Shri Govindram Seksaria Institute of Technology and Science (SGSITS ), Indore

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< 11 Lever Arm Calculators

Angle between arms of lever given effort, load and net reaction at fulcrum

Go Angle Between Lever Arms = arccos(((Load on lever^2)+(Effort on Lever^2)-(Net Force at Lever Fulcrum Pin^2))/(2*Load on lever*Effort on Lever))

Length of effort arm of lever given bending moment

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

Length of Effort Arm given Load and Effort

Go Length of Effort Arm = Load on lever*Length of Load Arm/Effort on Lever

Length of Load Arm given Load and Effort

Go Length of Load Arm = Effort on Lever*Length of Effort Arm/Load on lever

Length of Effort Arm given Leverage

Go Length of Effort Arm = Length of Load Arm*Mechanical Advantage of Lever

Length of Load Arm given Leverage

Go Length of Load Arm = Length of Effort Arm/Mechanical Advantage of Lever

Length of major axis for elliptical cross sectioned lever given minor axis

Go Major Axis of Lever Ellipse Section = 2*Minor Axis of Lever Ellipse Section

Length of minor axis for elliptical cross sectioned lever given major axis

Go Minor Axis of Lever Ellipse Section = Major Axis of Lever Ellipse Section/2

Outside diameter of boss in lever

Go Outside Diameter of Lever Boss = 2*Diameter of Lever Fulcrum Pin

Depth of lever arm given width

Go Depth of Lever Arm = 2*Width of Lever Arm

Width of lever arm given depth

Go Width of Lever Arm = Depth of Lever Arm/2

Length of effort arm of lever given bending moment Formula

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

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How to Calculate Length of effort arm of lever given bending moment?

Length of effort arm of lever given bending moment calculator uses Length of Effort Arm = (Diameter of Lever Fulcrum Pin)+(Bending Moment in Lever/Effort on Lever) to calculate the Length of Effort Arm, The Length of effort arm of lever given bending moment is the length of the arm of the lever onto which the input of the force is given or the effort force is applied. Length of Effort Arm is denoted by l₁ symbol.

How to calculate Length of effort arm of lever given bending moment using this online calculator? To use this online calculator for Length of effort arm of lever given bending moment, enter Diameter of Lever Fulcrum Pin (d₁), Bending Moment in Lever (M_b) & Effort on Lever (P) and hit the calculate button. Here is how the Length of effort arm of lever given bending moment calculation can be explained with given input values -> 899525.2 = (0.0116)+(261.05/294).

FAQ

What is Length of effort arm of lever given bending moment?

The Length of effort arm of lever given bending moment is the length of the arm of the lever onto which the input of the force is given or the effort force is applied and is represented as l₁ = (d₁)+(M_b/P) or Length of Effort Arm = (Diameter of Lever Fulcrum Pin)+(Bending Moment in Lever/Effort on Lever). Diameter of Lever Fulcrum Pin is the diameter of the pin used at the fulcrum joint of a lever, 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 Length of effort arm of lever given bending moment?

The Length of effort arm of lever given bending moment is the length of the arm of the lever onto which the input of the force is given or the effort force is applied is calculated using Length of Effort Arm = (Diameter of Lever Fulcrum Pin)+(Bending Moment in Lever/Effort on Lever). To calculate Length of effort arm of lever given bending moment, you need Diameter of Lever Fulcrum Pin (d₁), Bending Moment in Lever (M_b) & Effort on Lever (P). With our tool, you need to enter the respective value for Diameter of Lever Fulcrum Pin, 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 Length of Effort Arm?

In this formula, Length of Effort Arm uses Diameter of Lever Fulcrum Pin, Bending Moment in Lever & Effort on Lever. We can use 2 other way(s) to calculate the same, which is/are as follows -

Length of Effort Arm = Load on lever*Length of Load Arm/Effort on Lever
Length of Effort Arm = Length of Load Arm*Mechanical Advantage of Lever

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