Maximum bending moment in lever Calculator

✖The Effort on Lever is the force applied to a lever to lift or move a load, demonstrating the principles of mechanical advantage in lever systems.ⓘ Effort on Lever [P]			+10% -10%
✖The Length of Effort Arm is the distance from the fulcrum to the point where effort is applied on a lever, influencing the lever's mechanical advantage.ⓘ Length of Effort Arm [l₁]			+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 Lever Fulcrum Pin [d₁]			+10% -10%

✖The Bending Moment in Lever is the measure of the rotational force acting on a lever, influencing its ability to lift or support loads effectively.ⓘ Maximum bending moment in lever [M_b]

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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) - The Bending Moment in Lever is the measure of the rotational force acting on a lever, influencing its ability to lift or support loads effectively.
Effort on Lever - (Measured in Newton) - The Effort on Lever is the force applied to a lever to lift or move a load, demonstrating the principles of mechanical advantage in lever systems.
Length of Effort Arm - (Measured in Meter) - The Length of Effort Arm is the distance from the fulcrum to the point where effort is applied on a lever, influencing the lever's mechanical advantage.
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.

STEP 1: Convert Input(s) to Base Unit

Effort on Lever: 310 Newton --> 310 Newton No Conversion Required
Length of Effort Arm: 900 Millimeter --> 0.9 Meter (Check conversion here)
Diameter of Lever Fulcrum Pin: 12.3913 Millimeter --> 0.0123913 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M_b = P*(l₁-d₁) --> 310*(0.9-0.0123913)

Evaluating ... ...

M_b = 275.158697

STEP 3: Convert Result to Output's Unit

275.158697 Newton Meter -->275158.697 Newton Millimeter (Check conversion here)

FINAL ANSWER

275158.697 ≈ 275158.7 Newton Millimeter <-- Bending Moment in Lever

(Calculation completed in 00.008 seconds)

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Created by Saurabh Patil

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

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< Components of Lever Calculators

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))

Maximum bending moment in lever

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

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, Maximum bending moment in lever formula is defined as the maximum turning force that occurs in a lever when a load is applied, affecting the structural integrity of the machine component. 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 -> 2.8E+8 = 310*(0.9-0.0123913).

FAQ

What is Maximum bending moment in lever?

Maximum bending moment in lever formula is defined as the maximum turning force that occurs in a lever when a load is applied, affecting the structural integrity of the machine component 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). The Effort on Lever is the force applied to a lever to lift or move a load, demonstrating the principles of mechanical advantage in lever systems, The Length of Effort Arm is the distance from the fulcrum to the point where effort is applied on a lever, influencing the lever's mechanical advantage & 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.

How to calculate Maximum bending moment in lever?

Maximum bending moment in lever formula is defined as the maximum turning force that occurs in a lever when a load is applied, affecting the structural integrity of the machine component 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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