Bending stress in lever of rectangular 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 Width of Lever Arm is the distance between the pivot point and the point where force is applied, influencing the lever's mechanical advantage and efficiency.ⓘ Width of Lever Arm [b_l]			+10% -10%
✖The Depth of Lever Arm is the vertical distance from the pivot point to the line of action of the force, influencing the lever's mechanical advantage.ⓘ Depth of Lever Arm [d]			+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 rectangular cross section given bending moment [σ_b]

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

STEP 0: Pre-Calculation Summary

Formula Used

Bending Stress in Lever Arm = (32*Bending Moment in Lever)/(pi*Width of Lever Arm*(Depth of Lever Arm^2))
σ_b = (32*M_b)/(pi*b_l*(d^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.
Width of Lever Arm - (Measured in Meter) - The Width of Lever Arm is the distance between the pivot point and the point where force is applied, influencing the lever's mechanical advantage and efficiency.
Depth of Lever Arm - (Measured in Meter) - The Depth of Lever Arm is the vertical distance from the pivot point to the line of action of the force, influencing the lever's mechanical advantage.

STEP 1: Convert Input(s) to Base Unit

Bending Moment in Lever: 275404 Newton Millimeter --> 275.404 Newton Meter (Check conversion here)
Width of Lever Arm: 14.2 Millimeter --> 0.0142 Meter (Check conversion here)
Depth of Lever Arm: 28.4 Millimeter --> 0.0284 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_b = (32*M_b)/(pi*b_l*(d^2)) --> (32*275.404)/(pi*0.0142*(0.0284^2))

Evaluating ... ...

σ_b = 244931885.006498

STEP 3: Convert Result to Output's Unit

244931885.006498 Pascal -->244.931885006498 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

244.931885006498 ≈ 244.9319 Newton per Square Millimeter <-- Bending Stress in Lever Arm

(Calculation completed in 00.004 seconds)

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

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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 rectangular cross section given bending moment Formula

Bending Stress in Lever Arm = (32*Bending Moment in Lever)/(pi*Width of Lever Arm*(Depth of Lever Arm^2))
σ_b = (32*M_b)/(pi*b_l*(d^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 rectangular cross section given bending moment?

Bending stress in lever of rectangular cross section given bending moment calculator uses Bending Stress in Lever Arm = (32*Bending Moment in Lever)/(pi*Width of Lever Arm*(Depth of Lever Arm^2)) to calculate the Bending Stress in Lever Arm, Bending stress in lever of rectangular cross section given bending moment formula is defined as the maximum stress a rectangular lever can withstand when subjected to a bending moment. Bending Stress in Lever Arm is denoted by σ_b symbol.

How to calculate Bending stress in lever of rectangular cross section given bending moment using this online calculator? To use this online calculator for Bending stress in lever of rectangular cross section given bending moment, enter Bending Moment in Lever (M_b), Width of Lever Arm (b_l) & Depth of Lever Arm (d) and hit the calculate button. Here is how the Bending stress in lever of rectangular cross section given bending moment calculation can be explained with given input values -> 0.000245 = (32*275.404)/(pi*0.0142*(0.0284^2)).

FAQ

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

Bending stress in lever of rectangular cross section given bending moment formula is defined as the maximum stress a rectangular lever can withstand when subjected to a bending moment and is represented as σ_b = (32*M_b)/(pi*b_l*(d^2)) or Bending Stress in Lever Arm = (32*Bending Moment in Lever)/(pi*Width of Lever Arm*(Depth of Lever Arm^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 Width of Lever Arm is the distance between the pivot point and the point where force is applied, influencing the lever's mechanical advantage and efficiency & The Depth of Lever Arm is the vertical distance from the pivot point to the line of action of the force, influencing the lever's mechanical advantage.

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

Bending stress in lever of rectangular cross section given bending moment formula is defined as the maximum stress a rectangular lever can withstand when subjected to a bending moment is calculated using Bending Stress in Lever Arm = (32*Bending Moment in Lever)/(pi*Width of Lever Arm*(Depth of Lever Arm^2)). To calculate Bending stress in lever of rectangular cross section given bending moment, you need Bending Moment in Lever (M_b), Width of Lever Arm (b_l) & Depth of Lever Arm (d). With our tool, you need to enter the respective value for Bending Moment in Lever, Width of Lever Arm & Depth of Lever Arm 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, Width of Lever Arm & Depth of Lever Arm. We can use 3 other way(s) to calculate the same, which is/are as follows -

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*Bending Moment in Lever)/(pi*Minor Axis of Lever Ellipse Section*Major Axis of Lever Ellipse Section^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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