Section Modulus of Hollow Circular Section Calculator

✖Outer Diameter of Hollow Circular Section is the diameter of outer edge of circular hollow shaft.ⓘ Outer Diameter of Hollow Circular Section [d_o]			+10% -10%
✖Inner Diameter of Hollow Circular Section is the measure of smallest diameter of a 2D concentric circular cross-section.ⓘ Inner Diameter of Hollow Circular Section [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 of Hollow Circular Section [Z]

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Formula

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Section Modulus of Hollow Circular Section

Formula

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

Example

`"1.4E^6mm³"=pi/(32*"240mm")*(("240mm")^4-("15mm")^4)`

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Download Section Modulus for Various Beams or Shape Sections Formulas PDF

Section Modulus of 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-Inner Diameter of Hollow Circular Section^4)
Z = pi/(32*d_o)*(d_o^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 diameter of outer edge of circular hollow shaft.
Inner Diameter of Hollow Circular Section - (Measured in Meter) - Inner Diameter of Hollow Circular Section is the measure of smallest diameter of a 2D concentric circular cross-section.

STEP 1: Convert Input(s) to Base Unit

Outer Diameter of Hollow Circular Section: 240 Millimeter --> 0.24 Meter (Check conversion here)
Inner Diameter of Hollow Circular Section: 15 Millimeter --> 0.015 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Z = pi/(32*d_o)*(d_o^4-d_i^4) --> pi/(32*0.24)*(0.24^4-0.015^4)

Evaluating ... ...

Z = 0.00135714731761015

STEP 3: Convert Result to Output's Unit

0.00135714731761015 Cubic Meter -->1357147.31761015 Cubic Millimeter (Check conversion here)

FINAL ANSWER

1357147.31761015 ≈ 1.4E+6 Cubic Millimeter <-- Section Modulus

(Calculation completed in 00.004 seconds)

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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< 5 Hollow Circular Section Calculators

Inner Diameter of Hollow Circular Section given Section Modulus

Go Inner Diameter of Hollow Circular Section = (Outer Diameter of Hollow Circular Section^4-(32*Outer Diameter of Hollow Circular Section*Section Modulus)/pi)^(1/4)

Section Modulus of Hollow Circular Section

Go Section Modulus = pi/(32*Outer Diameter of Hollow Circular Section)*(Outer Diameter of Hollow Circular Section^4-Inner Diameter of Hollow Circular Section^4)

Moment of Inertia of Hollow Circular Section

Go MOI of Area of Circular Section = pi/64*(Outer Diameter of Hollow Circular Section^4-Inner Diameter of Hollow Circular Section^4)

Distance of Outermost Layer from Neutral Axis in Hollow Circular Section

Go Distance b/w Outermost and Neutral Layer = Outer Diameter of Hollow Circular Section/2

Outer Diameter of Hollow Circular Section

Go Outer Diameter of Hollow Circular Section = 2*Distance b/w Outermost and Neutral Layer

Section Modulus of Hollow Circular Section Formula

Section Modulus = pi/(32*Outer Diameter of Hollow Circular Section)*(Outer Diameter of Hollow Circular Section^4-Inner Diameter of Hollow Circular Section^4)
Z = pi/(32*d_o)*(d_o^4-d_i^4)

What is section modulus?

Section modulus is a geometric property for a given cross-section used in the design of beams or flexural members.

How to Calculate Section Modulus of Hollow Circular Section?

Section Modulus of Hollow Circular Section calculator uses Section Modulus = pi/(32*Outer Diameter of Hollow Circular Section)*(Outer Diameter of Hollow Circular Section^4-Inner Diameter of Hollow Circular Section^4) to calculate the Section Modulus, The Section modulus of 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 Z symbol.

How to calculate Section Modulus of Hollow Circular Section using this online calculator? To use this online calculator for Section Modulus of Hollow Circular Section, enter Outer Diameter of Hollow Circular Section (d_o) & Inner Diameter of Hollow Circular Section (d_i) and hit the calculate button. Here is how the Section Modulus of Hollow Circular Section calculation can be explained with given input values -> 1.4E+15 = pi/(32*0.24)*(0.24^4-0.015^4).

FAQ

What is Section Modulus of Hollow Circular Section?

The Section modulus of 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 Z = pi/(32*d_o)*(d_o^4-d_i^4) or Section Modulus = pi/(32*Outer Diameter of Hollow Circular Section)*(Outer Diameter of Hollow Circular Section^4-Inner Diameter of Hollow Circular Section^4). Outer Diameter of Hollow Circular Section is the diameter of outer edge of circular hollow shaft & Inner Diameter of Hollow Circular Section is the measure of smallest diameter of a 2D concentric circular cross-section.

How to calculate Section Modulus of Hollow Circular Section?

The Section modulus of 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-Inner Diameter of Hollow Circular Section^4). To calculate Section Modulus of Hollow Circular Section, you need Outer Diameter of Hollow Circular Section (d_o) & Inner Diameter of Hollow Circular Section (d_i). With our tool, you need to enter the respective value for Outer Diameter of Hollow Circular Section & Inner Diameter of Hollow Circular Section and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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