Section modulus hollow circular section Calculator

✖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%

✖Section Modulus is a geometric property for a given cross-section used in the design of beams or flexural members.ⓘ Section modulus hollow circular section [S]

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Formula

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Section modulus hollow circular section

Formula

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

Example

`"885.7136mm³"=(pi/(32*"23mm"))*((("23mm")^4)-(("16.4mm")^4))`

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Section modulus hollow circular section Solution

STEP 0: Pre-Calculation Summary

Formula Used

Section Modulus = (pi/(32*Outer Diameter of Hollow Circular Section))*((Outer Diameter of Hollow Circular Section^4)-(Hollow Circular Section Inner Diameter^4))
S = (pi/(32*d_circle))*((d_circle^4)-(d_i^4))
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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

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

S = (pi/(32*d_circle))*((d_circle^4)-(d_i^4)) --> (pi/(32*0.023))*((0.023^4)-(0.0164^4))

Evaluating ... ...

S = 8.85713649204031E-07

STEP 3: Convert Result to Output's Unit

8.85713649204031E-07 Cubic Meter -->885.713649204031 Cubic Millimeter (Check conversion here)

FINAL ANSWER

885.713649204031 ≈ 885.7136 Cubic Millimeter <-- Section Modulus

(Calculation completed in 00.020 seconds)

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

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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Verified by Kumar Siddhant

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

Section modulus hollow circular section 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 Section modulus hollow circular section?

Section modulus hollow circular section calculator uses Section Modulus = (pi/(32*Outer Diameter of Hollow Circular Section))*((Outer Diameter of Hollow Circular Section^4)-(Hollow Circular Section Inner Diameter^4)) to calculate the Section Modulus, The Section modulus hollow circular section formula is defined as a geometric property for a given cross-section used in the design of beams or flexural members. Section Modulus is denoted by S symbol.

How to calculate Section modulus hollow circular section using this online calculator? To use this online calculator for Section modulus hollow circular section, enter Outer Diameter of Hollow Circular Section (d_circle) & Hollow Circular Section Inner Diameter (d_i) and hit the calculate button. Here is how the Section modulus hollow circular section calculation can be explained with given input values -> 8.9E+11 = (pi/(32*0.023))*((0.023^4)-(0.0164^4)).

FAQ

What is Section modulus hollow circular section?

The Section modulus hollow circular section formula is defined as a geometric property for a given cross-section used in the design of beams or flexural members and is represented as S = (pi/(32*d_circle))*((d_circle^4)-(d_i^4)) or Section Modulus = (pi/(32*Outer Diameter of Hollow Circular Section))*((Outer Diameter of Hollow Circular Section^4)-(Hollow Circular Section Inner Diameter^4)). 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 Section modulus hollow circular section?

The Section modulus hollow circular section formula is defined as a geometric property for a given cross-section used in the design of beams or flexural members is calculated using Section Modulus = (pi/(32*Outer Diameter of Hollow Circular Section))*((Outer Diameter of Hollow Circular Section^4)-(Hollow Circular Section Inner Diameter^4)). To calculate Section modulus hollow circular section, you need 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 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 Section Modulus?

In this formula, Section Modulus uses 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 -

Section Modulus = (Eccentricity of Loading*Eccentric load on column)/Bending Stress in Column
Section Modulus = Moment due to eccentric load/Bending Stress in Column

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