Maximum bending moment in lever Calculator

✖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 [l₁]			+10% -10%
✖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.ⓘ Maximum bending moment in lever [M_b]

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Formula

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Maximum bending moment in lever

Formula

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

Example

`"261189.6N*mm"="294N"*(("900mm")-("11.6mm"))`

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Maximum bending moment in lever Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Effort on Lever: 294 Newton --> 294 Newton No Conversion Required
Length of Effort Arm: 900 Millimeter --> 0.9 Meter (Check conversion here)
Diameter of Lever Fulcrum Pin: 11.6 Millimeter --> 0.0116 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M_b = P*((l₁)-(d₁)) --> 294*((0.9)-(0.0116))

Evaluating ... ...

M_b = 261.1896

STEP 3: Convert Result to Output's Unit

261.1896 Newton Meter -->261189.6 Newton Millimeter (Check conversion here)

FINAL ANSWER

261189.6 Newton Millimeter <-- Bending Moment in Lever

(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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< 15 Components of Lever Calculators

Bending stress in lever of elliptical cross section

Go Bending Stress in Lever Arm = (32*(Effort on Lever*((Length of Effort Arm)-(Diameter of Lever Fulcrum Pin))))/(pi*Minor Axis of Lever Ellipse Section*(Major Axis of Lever Ellipse Section^2))

Reaction Force at Fulcrum of Lever given Effort, Load and Contained Angle

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

Bending stress in lever of rectangular cross section

Go Bending Stress in Lever Arm = (32*(Effort on Lever*((Length of Effort Arm)-(Diameter of Lever Fulcrum Pin))))/(pi*Width of Lever Arm*(Depth of Lever Arm^2))

Bending stress in lever of elliptical cross section given bending moment

Go Bending Stress in Lever Arm = (32*Bending Moment in Lever)/(pi*Minor Axis of Lever Ellipse Section*(Major Axis of Lever Ellipse Section^2))

Bending stress in lever of rectangular cross section given bending moment

Go Bending Stress in Lever Arm = (32*Bending Moment in Lever)/(pi*Width of Lever Arm*(Depth of Lever Arm^2))

Reaction Force at Fulcrum of Lever given Bearing Pressure

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

Maximum bending moment in lever

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

Effort Force Applied on Lever given Bending Moment

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

Load using Lengths and Effort

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

Effort using Length and Load

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

Reaction Force at Fulcrum of Right Angled Lever

Go Force at Lever Fulcrum Pin = sqrt(Load on lever^2+Effort on Lever^2)

Leverage

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

Effort using Leverage

Go Effort on Lever = Load on lever/Mechanical Advantage of Lever

Mechanical Advantage

Go Mechanical Advantage of Lever = Load on lever/Effort on Lever

Load using Leverage

Go Load on lever = Effort on Lever*Mechanical Advantage of Lever

Maximum bending moment in lever Formula

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

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 Maximum bending moment in lever?

Maximum bending moment in lever calculator uses Bending Moment in Lever = Effort on Lever*((Length of Effort Arm)-(Diameter of Lever Fulcrum Pin)) to calculate the Bending Moment in Lever, The Maximum bending moment in lever is defined as the maximum amount of bending moment that can be generated into the arms of the lever. Bending Moment in Lever is denoted by M_b symbol.

How to calculate Maximum bending moment in lever using this online calculator? To use this online calculator for Maximum bending moment in lever, enter Effort on Lever (P), Length of Effort Arm (l₁) & Diameter of Lever Fulcrum Pin (d₁) and hit the calculate button. Here is how the Maximum bending moment in lever calculation can be explained with given input values -> 2.6E+8 = 294*((0.9)-(0.0116)).

FAQ

What is Maximum bending moment in lever?

The Maximum bending moment in lever is defined as the maximum amount of bending moment that can be generated into the arms of the lever and is represented as M_b = P*((l₁)-(d₁)) or Bending Moment in Lever = Effort on Lever*((Length of Effort Arm)-(Diameter of Lever Fulcrum Pin)). 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, 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 is the diameter of the pin used at the fulcrum joint of a lever.

How to calculate Maximum bending moment in lever?

The Maximum bending moment in lever is defined as the maximum amount of bending moment that can be generated into the arms of the lever is calculated using Bending Moment in Lever = Effort on Lever*((Length of Effort Arm)-(Diameter of Lever Fulcrum Pin)). To calculate Maximum bending moment in lever, you need Effort on Lever (P), Length of Effort Arm (l₁) & Diameter of Lever Fulcrum Pin (d₁). With our tool, you need to enter the respective value for Effort on Lever, Length of Effort Arm & Diameter 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.

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