Bending Stress for Hollow Circular section given Diameter 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%
✖Outer Diameter of Hollow Circular Section is the measure of largest diameter of 2D concentric circular cross section.ⓘ Outer Diameter of Hollow Circular Section [d_circle]			+10% -10%
✖Hollow Circular Section Inner Diameter is the diameter of inner circle of circular hollow shaft.ⓘ Hollow Circular Section Inner Diameter [d_i]			+10% -10%

✖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.ⓘ Bending Stress for Hollow Circular section given Diameter [σ_b]

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Formula

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Bending Stress for Hollow Circular section given Diameter

Formula

`"σ"_{"b"} = "M"/((pi/(32*"d"_{"circle"}))*(("d"_{"circle"}^4)-("d"_{"i"}^4)))`

Example

`"9.145168MPa"="8.1N*m"/((pi/(32*"23mm"))*((("23mm")^4)-(("16.4mm")^4)))`

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Bending Stress for Hollow Circular section given Diameter Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)))
σ_b = M/((pi/(32*d_circle))*((d_circle^4)-(d_i^4)))
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

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.
Outer Diameter of Hollow Circular Section - (Measured in Meter) - Outer Diameter of Hollow Circular Section is the measure of largest diameter of 2D concentric circular cross section.
Hollow Circular Section Inner Diameter - (Measured in Meter) - Hollow Circular Section Inner Diameter is the diameter of inner circle of circular hollow shaft.

STEP 1: Convert Input(s) to Base Unit

Moment due to eccentric load: 8.1 Newton Meter --> 8.1 Newton Meter No Conversion Required
Outer Diameter of Hollow Circular Section: 23 Millimeter --> 0.023 Meter (Check conversion here)
Hollow Circular Section Inner Diameter: 16.4 Millimeter --> 0.0164 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_b = M/((pi/(32*d_circle))*((d_circle^4)-(d_i^4))) --> 8.1/((pi/(32*0.023))*((0.023^4)-(0.0164^4)))

Evaluating ... ...

σ_b = 9145167.86241159

STEP 3: Convert Result to Output's Unit

9145167.86241159 Pascal -->9.14516786241159 Megapascal (Check conversion here)

FINAL ANSWER

9.14516786241159 ≈ 9.145168 Megapascal <-- Bending Stress in Column

(Calculation completed in 00.004 seconds)

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Home » Physics » Strength of Materials » Direct And Bending Stress » Kernel of Hollow Circular Section » Bending Stress for Hollow Circular section given Diameter

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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 given Diameter Formula

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 given Diameter?

Bending Stress for Hollow Circular section given Diameter calculator uses 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))) to calculate the Bending Stress in Column, The Bending stress for hollow circular section given diameter formula is defined as a more specific type of normal stress. Bending Stress in Column is denoted by σ_b symbol.

How to calculate Bending Stress for Hollow Circular section given Diameter using this online calculator? To use this online calculator for Bending Stress for Hollow Circular section given Diameter, enter Moment due to eccentric load (M), Outer Diameter of Hollow Circular Section (d_circle) & Hollow Circular Section Inner Diameter (d_i) and hit the calculate button. Here is how the Bending Stress for Hollow Circular section given Diameter calculation can be explained with given input values -> 9.1E-6 = 8.1/((pi/(32*0.023))*((0.023^4)-(0.0164^4))).

FAQ

What is Bending Stress for Hollow Circular section given Diameter?

The Bending stress for hollow circular section given diameter formula is defined as a more specific type of normal stress and is represented as σ_b = M/((pi/(32*d_circle))*((d_circle^4)-(d_i^4))) or 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))). Moment due to eccentric load is at any point of column section due to eccentric load, Outer Diameter of Hollow Circular Section is the measure of largest diameter of 2D concentric circular cross section & Hollow Circular Section Inner Diameter is the diameter of inner circle of circular hollow shaft.

How to calculate Bending Stress for Hollow Circular section given Diameter?

The Bending stress for hollow circular section given diameter formula is defined as a more specific type of normal stress is calculated using 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))). To calculate Bending Stress for Hollow Circular section given Diameter, you need Moment due to eccentric load (M), Outer Diameter of Hollow Circular Section (d_circle) & Hollow Circular Section Inner Diameter (d_i). With our tool, you need to enter the respective value for Moment due to eccentric load, Outer Diameter of Hollow Circular Section & Hollow Circular Section Inner Diameter 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, Outer Diameter of Hollow Circular Section & Hollow Circular Section Inner Diameter. 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/Section Modulus

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