Section Modulus of Circular Section Calculator

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

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Formula

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Section Modulus of Circular Section

Formula

`"z" = (pi*("d"_{"section"}^3))/32`

Example

`"12.27185mm³"=(pi*(("5m")^3))/32`

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Section Modulus of Circular Section Solution

STEP 0: Pre-Calculation Summary

Formula Used

Section Modulus = (pi*(Diameter of Section^3))/32
z = (pi*(d_section^3))/32
This formula uses 1 Constants, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Section Modulus - (Measured in Cubic Millimeter) - Section Modulus is a geometric property for a given cross-section used in the design of beams or flexural members.
Diameter of Section - (Measured in Meter) - Diameter of Section is the diameter of the circular cross-section of the beam.

STEP 1: Convert Input(s) to Base Unit

Diameter of Section: 5 Meter --> 5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

z = (pi*(d_section^3))/32 --> (pi*(5^3))/32

Evaluating ... ...

z = 12.2718463030851

STEP 3: Convert Result to Output's Unit

1.22718463030851E-08 Cubic Meter -->12.2718463030851 Cubic Millimeter (Check conversion here)

FINAL ANSWER

12.2718463030851 ≈ 12.27185 Cubic Millimeter <-- Section Modulus

(Calculation completed in 00.020 seconds)

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Home » Engineering » Civil » Hydraulics and Waterworks » Flow in Open Channels » Geometrical Properties of Channel Section » Section modulus, Hydraulic Depth and Practical Channel Sections » Section modulus » Section Modulus of Circular Section

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Created by Alithea Fernandes

Don Bosco College of Engineering (DBCE), Goa

Alithea Fernandes has created this Calculator and 100+ more calculators!

Verified by Mayank Tayal

National Institute of Technology (NIT), Durgapur

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< 5 Section modulus Calculators

Section Modulus of Hollow Rectangular Section

Go Section Modulus = (Width of a Section Channel*(Depth of Section^3)-Interior Width of Section*(Interior Depth of Section^3))/(6*Depth of Section)

Section Modulus of Hollow circular tube of uniform section

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

Section Modulus of Triangular Section

Go Section Modulus = (Width of a Section Channel*(Height of Section^2))/24

Section Modulus of Rectangular Section

Go Section Modulus = (Width of a Section Channel*(Depth of Section^2))/6

Section Modulus of Circular Section

Go Section Modulus = (pi*(Diameter of Section^3))/32

Section Modulus of Circular Section Formula

Section Modulus = (pi*(Diameter of Section^3))/32
z = (pi*(d_section^3))/32

What is Section Modulus of Circular Section?

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

How to Calculate Section Modulus of Circular Section?

Section Modulus of Circular Section calculator uses Section Modulus = (pi*(Diameter of Section^3))/32 to calculate the Section Modulus, The Section Modulus of Circular Section formula is defined as (pi*(diameter of section)^3)/32 It is a direct measure of the strength of the beam. Section Modulus is denoted by z symbol.

How to calculate Section Modulus of Circular Section using this online calculator? To use this online calculator for Section Modulus of Circular Section, enter Diameter of Section (d_section) and hit the calculate button. Here is how the Section Modulus of Circular Section calculation can be explained with given input values -> 12.27185 = (pi*(5^3))/32.

FAQ

What is Section Modulus of Circular Section?

The Section Modulus of Circular Section formula is defined as (pi*(diameter of section)^3)/32 It is a direct measure of the strength of the beam and is represented as z = (pi*(d_section^3))/32 or Section Modulus = (pi*(Diameter of Section^3))/32. Diameter of Section is the diameter of the circular cross-section of the beam.

How to calculate Section Modulus of Circular Section?

The Section Modulus of Circular Section formula is defined as (pi*(diameter of section)^3)/32 It is a direct measure of the strength of the beam is calculated using Section Modulus = (pi*(Diameter of Section^3))/32. To calculate Section Modulus of Circular Section, you need Diameter of Section (d_section). With our tool, you need to enter the respective value for Diameter of Section 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 Diameter of Section. We can use 4 other way(s) to calculate the same, which is/are as follows -

Section Modulus = (Width of a Section Channel*(Depth of Section^2))/6
Section Modulus = (Width of a Section Channel*(Depth of Section^3)-Interior Width of Section*(Interior Depth of Section^3))/(6*Depth of Section)
Section Modulus = (pi*((Diameter of Section^4)-(Interior Diameter of Circular Section^4)))/(32*Diameter of Section)
Section Modulus = (Width of a Section Channel*(Height of Section^2))/24

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