Bending stress for hollow circular section Calculator

✖Moment due to Eccentric Load is at any point of column section due to eccentric load.ⓘ Moment due to Eccentric Load [M]			+10% -10%
✖Section Modulus is a geometric property for a given cross-section used in the design of beams or flexural members.ⓘ Section Modulus [S]			+10% -10%

✖Bending Stress in Column is the normal stress that is induced at a point in a column subjected to loads that cause it to bend.ⓘ Bending stress for hollow circular section [σ_b]

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Bending stress for hollow circular section Solution

STEP 0: Pre-Calculation Summary

Formula Used

Bending Stress in Column = Moment due to Eccentric Load/Section Modulus
σ_b = M/S
This formula uses 3 Variables

Variables Used

Bending Stress in Column - (Measured in Pascal) - Bending Stress in Column is the normal stress that is induced at a point in a column subjected to loads that cause it to bend.
Moment due to Eccentric Load - (Measured in Newton Meter) - Moment due to Eccentric Load is at any point of column section due to eccentric load.
Section Modulus - (Measured in Cubic Meter) - Section Modulus is a geometric property for a given cross-section used in the design of beams or flexural members.

STEP 1: Convert Input(s) to Base Unit

Moment due to Eccentric Load: 8.1 Newton Meter --> 8.1 Newton Meter No Conversion Required
Section Modulus: 1200000 Cubic Millimeter --> 0.0012 Cubic Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_b = M/S --> 8.1/0.0012

Evaluating ... ...

σ_b = 6750

STEP 3: Convert Result to Output's Unit

6750 Pascal -->0.00675 Megapascal (Check conversion here)

FINAL ANSWER

0.00675 Megapascal <-- Bending Stress in Column

(Calculation completed in 00.004 seconds)

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Home » Physics » Strength of Materials » Direct And Bending Stress » Mechanical » Kernel of Hollow Circular Section » Bending stress for hollow circular section

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has created this Calculator and 2000+ more calculators!

Verified by Kumar Siddhant

Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur

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< Kernel of Hollow Circular Section Calculators

Internal Diameter given Maximum Eccentricity of Load for Hollow Circular Section

LaTeX Go Hollow Circular Section Inner Diameter = sqrt((Eccentricity of Loading*8*Outer Diameter of Hollow Circular Section)-(Outer Diameter of Hollow Circular Section^2))

Inner Diameter of Hollow Circular Section given Diameter of kernel

LaTeX Go Hollow Circular Section Inner Diameter = sqrt((4*Outer Diameter of Hollow Circular Section*Diameter of kernel)-(Outer Diameter of Hollow Circular Section^2))

Maximum Value of Eccentricity of Load for Hollow Circular Section

LaTeX Go Eccentricity of Loading = (1/(8*Outer Diameter of Hollow Circular Section))*((Outer Diameter of Hollow Circular Section^2)+(Hollow Circular Section Inner Diameter^2))

Diameter of kernel for hollow circular section

LaTeX Go Diameter of kernel = (Outer Diameter of Hollow Circular Section^2+Hollow Circular Section Inner Diameter^2)/(4*Outer Diameter of Hollow Circular Section)

Bending stress for hollow circular section Formula

LaTeX Go

Bending Stress in Column = Moment due to Eccentric Load/Section Modulus
σ_b = M/S

What is Elastic Modulus?

The Elastic Modulus (also known as the Modulus of Elasticity or Young's Modulus) is a measure of a material's ability to resist deformation under stress. It quantifies the stiffness of a material by defining the relationship between stress (force per unit area) and strain (deformation) in the elastic region of the material's stress-strain curve. In simpler terms, it tells us how much a material will deform (stretch or compress) when subjected to a given load within its elastic limit.

How to Calculate Bending stress for hollow circular section?

Bending stress for hollow circular section calculator uses Bending Stress in Column = Moment due to Eccentric Load/Section Modulus to calculate the Bending Stress in Column, The Bending stress for hollow circular section formula is defined as a measure of the normal stress that occurs when an external bending moment is applied to a hollow circular section, causing it to deform by bending, and is a critical parameter in the design of beams and other structural elements. Bending Stress in Column is denoted by σ_b symbol.

How to calculate Bending stress for hollow circular section using this online calculator? To use this online calculator for Bending stress for hollow circular section, enter Moment due to Eccentric Load (M) & Section Modulus (S) and hit the calculate button. Here is how the Bending stress for hollow circular section calculation can be explained with given input values -> 6.8E-9 = 8.1/0.0012.

FAQ

What is Bending stress for hollow circular section?

The Bending stress for hollow circular section formula is defined as a measure of the normal stress that occurs when an external bending moment is applied to a hollow circular section, causing it to deform by bending, and is a critical parameter in the design of beams and other structural elements and is represented as σ_b = M/S or Bending Stress in Column = Moment due to Eccentric Load/Section Modulus. Moment due to Eccentric Load is at any point of column section due to eccentric load & Section Modulus is a geometric property for a given cross-section used in the design of beams or flexural members.

How to calculate Bending stress for hollow circular section?

The Bending stress for hollow circular section formula is defined as a measure of the normal stress that occurs when an external bending moment is applied to a hollow circular section, causing it to deform by bending, and is a critical parameter in the design of beams and other structural elements is calculated using Bending Stress in Column = Moment due to Eccentric Load/Section Modulus. To calculate Bending stress for hollow circular section, you need Moment due to Eccentric Load (M) & Section Modulus (S). With our tool, you need to enter the respective value for Moment due to Eccentric Load & Section Modulus 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 Column?

In this formula, Bending Stress in Column uses Moment due to Eccentric Load & Section Modulus. We can use 2 other way(s) to calculate the same, which is/are as follows -

Bending Stress in Column = (Eccentricity of Loading*Eccentric Load on Column)/Section Modulus
Bending Stress in Column = Moment due to Eccentric Load/((pi/(32*Outer Diameter of Hollow Circular Section))*((Outer Diameter of Hollow Circular Section^4)-(Hollow Circular Section Inner Diameter^4)))

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