Bending stress in lever of elliptical cross section given bending moment Calculator

✖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.ⓘ Bending Moment in Lever [M_b]			+10% -10%
✖The Minor Axis of Lever Ellipse Section is the shortest diameter of the elliptical section of a lever, influencing its mechanical performance and design efficiency.ⓘ Minor Axis of Lever Ellipse Section [b]			+10% -10%
✖The Major Axis of Lever Ellipse Section is the longest diameter of the ellipse that represents the lever's design, influencing its mechanical performance and efficiency.ⓘ Major Axis of Lever Ellipse Section [a]			+10% -10%

✖The Bending Stress in Lever Arm is the internal stress experienced by a lever arm due to applied forces, affecting its strength and performance in mechanical design.ⓘ Bending stress in lever of elliptical cross section given bending moment [σ_b]

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Bending stress in lever of elliptical cross section given bending moment Solution

STEP 0: Pre-Calculation Summary

Formula Used

Bending Stress in Lever Arm = (32*Bending Moment in Lever)/(pi*Minor Axis of Lever Ellipse Section*Major Axis of Lever Ellipse Section^2)
σ_b = (32*M_b)/(pi*b*a^2)
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Bending Stress in Lever Arm - (Measured in Pascal) - The Bending Stress in Lever Arm is the internal stress experienced by a lever arm due to applied forces, affecting its strength and performance in mechanical design.
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.
Minor Axis of Lever Ellipse Section - (Measured in Meter) - The Minor Axis of Lever Ellipse Section is the shortest diameter of the elliptical section of a lever, influencing its mechanical performance and design efficiency.
Major Axis of Lever Ellipse Section - (Measured in Meter) - The Major Axis of Lever Ellipse Section is the longest diameter of the ellipse that represents the lever's design, influencing its mechanical performance and efficiency.

STEP 1: Convert Input(s) to Base Unit

Bending Moment in Lever: 275404 Newton Millimeter --> 275.404 Newton Meter (Check conversion here)
Minor Axis of Lever Ellipse Section: 14.3 Millimeter --> 0.0143 Meter (Check conversion here)
Major Axis of Lever Ellipse Section: 28.6 Millimeter --> 0.0286 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_b = (32*M_b)/(pi*b*a^2) --> (32*275.404)/(pi*0.0143*0.0286^2)

Evaluating ... ...

σ_b = 239829303.177403

STEP 3: Convert Result to Output's Unit

239829303.177403 Pascal -->239.829303177403 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

239.829303177403 ≈ 239.8293 Newton per Square Millimeter <-- Bending Stress in Lever Arm

(Calculation completed in 00.020 seconds)

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Home » Engineering » Mechanical » Machine Design » Design of Lever » Components of Lever » Bending stress in lever of elliptical cross section given bending moment

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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)

Bending stress in lever of elliptical cross section given bending moment Formula

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

What is a lever?

Simply put, levers are machines used to increase force. We call them "simple machines" because they have only two parts — the handle and the fulcrum. The handle or bar of the lever is called the "arm" - Scissorsit's the part that you push or pull on. The "fulcrum" is the point on which the lever turns or balances. In the case of a fork, the fulcrum is the fingers of your hand. Scissors are really two levers put together. The handle on the toilet flusher is commonly called a fixed lever.

How to Calculate Bending stress in lever of elliptical cross section given bending moment?

Bending stress in lever of elliptical cross section given bending moment calculator uses Bending Stress in Lever Arm = (32*Bending Moment in Lever)/(pi*Minor Axis of Lever Ellipse Section*Major Axis of Lever Ellipse Section^2) to calculate the Bending Stress in Lever Arm, Bending stress in lever of elliptical cross section given bending moment formula is defined as the maximum stress experienced by a lever due to external bending forces, crucial in machine design for predicting structural integrity. Bending Stress in Lever Arm is denoted by σ_b symbol.

How to calculate Bending stress in lever of elliptical cross section given bending moment using this online calculator? To use this online calculator for Bending stress in lever of elliptical cross section given bending moment, enter Bending Moment in Lever (M_b), Minor Axis of Lever Ellipse Section (b) & Major Axis of Lever Ellipse Section (a) and hit the calculate button. Here is how the Bending stress in lever of elliptical cross section given bending moment calculation can be explained with given input values -> 0.00024 = (32*275.404)/(pi*0.0143*0.0286^2).

FAQ

What is Bending stress in lever of elliptical cross section given bending moment?

Bending stress in lever of elliptical cross section given bending moment formula is defined as the maximum stress experienced by a lever due to external bending forces, crucial in machine design for predicting structural integrity and is represented as σ_b = (32*M_b)/(pi*b*a^2) or Bending Stress in Lever Arm = (32*Bending Moment in Lever)/(pi*Minor Axis of Lever Ellipse Section*Major Axis of Lever Ellipse Section^2). 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, The Minor Axis of Lever Ellipse Section is the shortest diameter of the elliptical section of a lever, influencing its mechanical performance and design efficiency & The Major Axis of Lever Ellipse Section is the longest diameter of the ellipse that represents the lever's design, influencing its mechanical performance and efficiency.

How to calculate Bending stress in lever of elliptical cross section given bending moment?

Bending stress in lever of elliptical cross section given bending moment formula is defined as the maximum stress experienced by a lever due to external bending forces, crucial in machine design for predicting structural integrity is calculated using Bending Stress in Lever Arm = (32*Bending Moment in Lever)/(pi*Minor Axis of Lever Ellipse Section*Major Axis of Lever Ellipse Section^2). To calculate Bending stress in lever of elliptical cross section given bending moment, you need Bending Moment in Lever (M_b), Minor Axis of Lever Ellipse Section (b) & Major Axis of Lever Ellipse Section (a). With our tool, you need to enter the respective value for Bending Moment in Lever, Minor Axis of Lever Ellipse Section & Major Axis of Lever Ellipse Section 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 Bending Stress in Lever Arm?

In this formula, Bending Stress in Lever Arm uses Bending Moment in Lever, Minor Axis of Lever Ellipse Section & Major Axis of Lever Ellipse Section. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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