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
σb = 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 body 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
σb = M/S --> 8.1/0.0012
Evaluating ... ...
σb = 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)

Credits

Created by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
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Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur
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13 Kernel of Hollow Circular Section Calculators

Bending Stress for Hollow Circular section given Diameter
Go 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)))
Internal Diameter given Maximum Eccentricity of Load for Hollow Circular Section
Go Hollow Circular Section Inner Diameter = sqrt((Eccentricity of Loading*8*Outer Diameter of Hollow Circular Section)-(Outer Diameter of Hollow Circular Section^2))
Section modulus hollow circular section
Go Section Modulus = (pi/(32*Outer Diameter of Hollow Circular Section))*((Outer Diameter of Hollow Circular Section^4)-(Hollow Circular Section Inner Diameter^4))
Inner Diameter of Hollow Circular Section given Diameter of kernel
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
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
Go Diameter of kernel = ((Outer Diameter of Hollow Circular Section^2)+(Hollow Circular Section Inner Diameter^2))/(4*Outer Diameter of Hollow Circular Section)
Section Modulus given Bending Stress and Eccentric Load on Hollow Circular Section
Go Section Modulus = (Eccentricity of Loading*Eccentric load on column)/Bending Stress in Column
Bending Stress for Hollow Circular Section using Eccentric Load and Eccentricity
Go Bending Stress in Column = (Eccentricity of Loading*Eccentric load on column)/Section Modulus
Eccentric Load given Bending Stress on Hollow Circular Section
Go Eccentric load on column = (Bending Stress in Column*Section Modulus)/Eccentricity of Loading
Eccentricity given Bending Stress on Hollow Circular Section
Go Eccentricity of Loading = (Bending Stress in Column*Section Modulus)/Eccentric load on column
Moment due to Eccentric Load Bending Stress on Hollow Circular Section
Go Moment due to eccentric load = Bending Stress in Column*Section Modulus
Section Modulus given Bending Stress on Hollow Circular Section
Go Section Modulus = Moment due to eccentric load/Bending Stress in Column
Bending stress for hollow circular section
Go Bending Stress in Column = Moment due to eccentric load/Section Modulus

Bending stress for hollow circular section Formula

Bending Stress in Column = Moment due to eccentric load/Section Modulus
σb = M/S

Is bending stress a normal stress?

Bending stress is a more specific type of normal stress. The stress at the horizontal plane of the neutral is zero. The bottom fibers of the beam undergo normal tensile stress. It can be concluded therefore that the value of the bending stress will vary linearly with distance from the neutral axis.

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 more specific type of normal stress. Bending Stress in Column is denoted by σb 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 more specific type of normal stress and is represented as σb = 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 more specific type of normal stress 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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