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Moment of Inertia When Bending Stress in the Arm is Given Solution

STEP 0: Pre-Calculation Summary
Formula Used
moment_of_inertia = Bending moment*Minor axis/Bending Stress
I = M*b/𝛔b
This formula uses 3 Variables
Variables Used
Bending moment - The Bending moment is the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend. (Measured in Newton Meter)
Minor axis - Minor axis is the line segment that is perpendicular to the major axis and intersects at the center of the ellipse. (Measured in Centimeter)
Bending Stress - The Bending Stress is the normal stress that is induced at a point in a body subjected to loads that cause it to bend (Measured in Newton per Square Meter)
STEP 1: Convert Input(s) to Base Unit
Bending moment: 50 Newton Meter --> 50 Newton Meter No Conversion Required
Minor axis: 5 Centimeter --> 0.05 Meter (Check conversion here)
Bending Stress: 50 Newton per Square Meter --> 50 Pascal (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
I = M*b/𝛔b --> 50*0.05/50
Evaluating ... ...
I = 0.05
STEP 3: Convert Result to Output's Unit
0.05 Kilogram Meter² --> No Conversion Required
FINAL ANSWER
0.05 Kilogram Meter² <-- Moment of Inertia
(Calculation completed in 00.016 seconds)

10+ Arms of Cast Iron Pulley Calculators

Radius of Rim When Torque Transmitted by the Pulley is Given
radius_of_rim = Torque Transmitted by the Pulley/(Tangential Force at the end of Each Arm*(Number of arms/2)) Go
Number of Arms of the Pulley When Torque Transmitted by the Pulley is Given
number_of_arms = 2*Torque Transmitted by the Pulley/(Tangential Force at the end of Each Arm*Radius of Rim) Go
Torque Transmitted by the Pulley
torque_transmitted_by_the_pulley = Tangential Force at the end of Each Arm*Radius of Rim*(Number of arms/2) Go
Tangential Force at the End of Each Arm When Torque Transmitted by the Pulley is Given
tangential_force_at_end_of_each_arm = Torque Transmitted by the Pulley/(Radius of Rim*(Number of arms/2)) Go
Radius of Rim When Bending Moment Acting on the Arm is Given
radius_of_rim = Bending moment/Tangential Force at the end of Each Arm Go
Bending Moment Acting on the arm
bending_moment = Tangential Force at the end of Each Arm*Radius of Rim Go
Tangential Force at the End of Each Arm When Bending Moment acting on the Arm is Given
tangential_force_at_end_of_each_arm = Bending moment/Radius of Rim Go
Torque Transmitted by the Pulley When Bending Moment acting on the Arm is Given
torque_transmitted_by_the_pulley = Bending moment*Number of arms/2 Go
Bending Moment acting on the Arm in terms of Torque Transmitted by the Pulley
bending_moment = 2*Torque Transmitted by the Pulley/Number of arms Go
Number of Arms When Bending Moment acting on the Arm is Given
number_of_arms = 2*Torque Transmitted by the Pulley/Bending moment Go

Moment of Inertia When Bending Stress in the Arm is Given Formula

moment_of_inertia = Bending moment*Minor axis/Bending Stress
I = M*b/𝛔b

Define Bending Stress?

Bending stress is the normal stress that an object encounters when it is subjected to a large load at a particular point that causes the object to bend and become fatigued. Bending stress occurs when operating industrial equipment and in concrete and metallic structures when they are subjected to a tensile load.

How to Calculate Moment of Inertia When Bending Stress in the Arm is Given?

Moment of Inertia When Bending Stress in the Arm is Given calculator uses moment_of_inertia = Bending moment*Minor axis/Bending Stress to calculate the Moment of Inertia, The Moment of Inertia When Bending Stress in the Arm is Given formula is defined as the tendency to resist angular acceleration, which is the sum of the products of the mass of each particle in the body with the square of its distance from the axis of rotation. Moment of Inertia and is denoted by I symbol.

How to calculate Moment of Inertia When Bending Stress in the Arm is Given using this online calculator? To use this online calculator for Moment of Inertia When Bending Stress in the Arm is Given, enter Bending moment (M), Minor axis (b) and Bending Stress (𝛔b) and hit the calculate button. Here is how the Moment of Inertia When Bending Stress in the Arm is Given calculation can be explained with given input values -> 0.05 = 50*0.05/50.

FAQ

What is Moment of Inertia When Bending Stress in the Arm is Given?
The Moment of Inertia When Bending Stress in the Arm is Given formula is defined as the tendency to resist angular acceleration, which is the sum of the products of the mass of each particle in the body with the square of its distance from the axis of rotation and is represented as I = M*b/𝛔b or moment_of_inertia = Bending moment*Minor axis/Bending Stress. The Bending moment is the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend, Minor axis is the line segment that is perpendicular to the major axis and intersects at the center of the ellipse and The Bending Stress is the normal stress that is induced at a point in a body subjected to loads that cause it to bend.
How to calculate Moment of Inertia When Bending Stress in the Arm is Given?
The Moment of Inertia When Bending Stress in the Arm is Given formula is defined as the tendency to resist angular acceleration, which is the sum of the products of the mass of each particle in the body with the square of its distance from the axis of rotation is calculated using moment_of_inertia = Bending moment*Minor axis/Bending Stress. To calculate Moment of Inertia When Bending Stress in the Arm is Given, you need Bending moment (M), Minor axis (b) and Bending Stress (𝛔b). With our tool, you need to enter the respective value for Bending moment, Minor axis and Bending Stress 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 Moment of Inertia?
In this formula, Moment of Inertia uses Bending moment, Minor axis and Bending Stress. We can use 10 other way(s) to calculate the same, which is/are as follows -
  • torque_transmitted_by_the_pulley = Tangential Force at the end of Each Arm*Radius of Rim*(Number of arms/2)
  • tangential_force_at_end_of_each_arm = Torque Transmitted by the Pulley/(Radius of Rim*(Number of arms/2))
  • radius_of_rim = Torque Transmitted by the Pulley/(Tangential Force at the end of Each Arm*(Number of arms/2))
  • number_of_arms = 2*Torque Transmitted by the Pulley/(Tangential Force at the end of Each Arm*Radius of Rim)
  • bending_moment = Tangential Force at the end of Each Arm*Radius of Rim
  • tangential_force_at_end_of_each_arm = Bending moment/Radius of Rim
  • radius_of_rim = Bending moment/Tangential Force at the end of Each Arm
  • bending_moment = 2*Torque Transmitted by the Pulley/Number of arms
  • number_of_arms = 2*Torque Transmitted by the Pulley/Bending moment
  • torque_transmitted_by_the_pulley = Bending moment*Number of arms/2
Where is the Moment of Inertia When Bending Stress in the Arm is Given calculator used?
Among many, Moment of Inertia When Bending Stress in the Arm is Given calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
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