Bending Stress for Hollow Circular Section using Eccentric Load and Eccentricity Calculator

✖Eccentricity of Loading is the distance between the actual line of action of loads and the line of action that would produce a uniform stress over the cross section of the specimen.ⓘ Eccentricity of Loading [e_load]			+10% -10%
✖Eccentric Load on Column is the load that causes direct stress as well as bending stress.ⓘ Eccentric Load on Column [P]			+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 using Eccentric Load and Eccentricity [σ_b]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Strength of Materials Formula PDF PDF Image

Bending Stress for Hollow Circular Section using Eccentric Load and Eccentricity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Bending Stress in Column = (Eccentricity of Loading*Eccentric Load on Column)/Section Modulus
σ_b = (e_load*P)/S
This formula uses 4 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.
Eccentricity of Loading - (Measured in Meter) - Eccentricity of Loading is the distance between the actual line of action of loads and the line of action that would produce a uniform stress over the cross section of the specimen.
Eccentric Load on Column - (Measured in Newton) - Eccentric Load on Column is the load that causes direct stress as well as bending stress.
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

Eccentricity of Loading: 25 Millimeter --> 0.025 Meter (Check conversion here)
Eccentric Load on Column: 0.324 Kilonewton --> 324 Newton (Check conversion here)
Section Modulus: 1200000 Cubic Millimeter --> 0.0012 Cubic Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_b = (e_load*P)/S --> (0.025*324)/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 00.020 seconds)

You are here -

Home » Physics » Strength of Materials » Direct And Bending Stress » Mechanical » Kernel of Hollow Circular Section » Bending Stress for Hollow Circular Section using Eccentric Load and Eccentricity

Credits

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

Kumar Siddhant has verified this Calculator and 100+ more calculators!

< 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 using Eccentric Load and Eccentricity Formula

LaTeX Go

Bending Stress in Column = (Eccentricity of Loading*Eccentric Load on Column)/Section Modulus
σ_b = (e_load*P)/S

What is Maximum Bending Stress?

Maximum Bending Stress refers to the highest stress experienced at the extreme fibers (top or bottom) of a beam's cross-section when it is subjected to bending moments. It occurs at points where the bending moment is greatest along the beam. The stress results from the bending moment applied to the beam, which creates a distribution of stress across its depth, with the maximum values occurring farthest from the neutral axis.

How to Calculate Bending Stress for Hollow Circular Section using Eccentric Load and Eccentricity?

Bending Stress for Hollow Circular Section using Eccentric Load and Eccentricity calculator uses Bending Stress in Column = (Eccentricity of Loading*Eccentric Load on Column)/Section Modulus to calculate the Bending Stress in Column, The Bending Stress for Hollow Circular Section using Eccentric Load and Eccentricity formula is defined as a measure of the maximum stress that occurs in a hollow circular section when an eccentric load is applied, taking into account the load's eccentricity and the section's properties. Bending Stress in Column is denoted by σ_b symbol.

How to calculate Bending Stress for Hollow Circular Section using Eccentric Load and Eccentricity using this online calculator? To use this online calculator for Bending Stress for Hollow Circular Section using Eccentric Load and Eccentricity, enter Eccentricity of Loading (e_load), Eccentric Load on Column (P) & Section Modulus (S) and hit the calculate button. Here is how the Bending Stress for Hollow Circular Section using Eccentric Load and Eccentricity calculation can be explained with given input values -> 1.5E-7 = (0.025*324)/0.0012.

FAQ

What is Bending Stress for Hollow Circular Section using Eccentric Load and Eccentricity?

The Bending Stress for Hollow Circular Section using Eccentric Load and Eccentricity formula is defined as a measure of the maximum stress that occurs in a hollow circular section when an eccentric load is applied, taking into account the load's eccentricity and the section's properties and is represented as σ_b = (e_load*P)/S or Bending Stress in Column = (Eccentricity of Loading*Eccentric Load on Column)/Section Modulus. Eccentricity of Loading is the distance between the actual line of action of loads and the line of action that would produce a uniform stress over the cross section of the specimen, Eccentric Load on Column is the load that causes direct stress as well as bending stress & 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 using Eccentric Load and Eccentricity?

The Bending Stress for Hollow Circular Section using Eccentric Load and Eccentricity formula is defined as a measure of the maximum stress that occurs in a hollow circular section when an eccentric load is applied, taking into account the load's eccentricity and the section's properties is calculated using Bending Stress in Column = (Eccentricity of Loading*Eccentric Load on Column)/Section Modulus. To calculate Bending Stress for Hollow Circular Section using Eccentric Load and Eccentricity, you need Eccentricity of Loading (e_load), Eccentric Load on Column (P) & Section Modulus (S). With our tool, you need to enter the respective value for Eccentricity of Loading, Eccentric Load on Column & 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 Eccentricity of Loading, Eccentric Load on Column & Section Modulus. We can use 2 other way(s) to calculate the same, which is/are as follows -

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)))
Bending Stress in Column = Moment due to Eccentric Load/Section Modulus

Home

FREE PDFs

🔍 Search