Section Modulus for 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 for Circular Section [Z]

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Section Modulus for Circular Section

Formula

`"Z" = pi/32*"d"_{"c"}^3`

Example

`"4.6E^6mm³"=pi/32*("360mm")^3`

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Download Section Modulus for Various Beams or Shape Sections Formulas PDF PDF Image

Section Modulus for Circular Section Solution

STEP 0: Pre-Calculation Summary

Formula Used

Section Modulus = pi/32*Diameter of Circular section^3
Z = pi/32*d_c^3
This formula uses 1 Constants, 2 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.
Diameter of Circular section - (Measured in Meter) - Diameter of Circular section is the diameter of the circular cross-section of the beam.

STEP 1: Convert Input(s) to Base Unit

Diameter of Circular section: 360 Millimeter --> 0.36 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Z = pi/32*d_c^3 --> pi/32*0.36^3

Evaluating ... ...

Z = 0.00458044208893392

STEP 3: Convert Result to Output's Unit

0.00458044208893392 Cubic Meter -->4580442.08893392 Cubic Millimeter (Check conversion here)

FINAL ANSWER

4580442.08893392 ≈ 4.6E+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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Indian Institute of Information Technology (IIIT), Guwahati

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< 6 Circular Section Calculators

Diameter of Circular Section given Moment of Inertia about Neutral Axis

Go Diameter of Circular section = ((64*MOI of Area of Circular Section)/(pi))^(1/4)

Moment of Inertia about Neutral Axis for Circular Section

Go MOI of Area of Circular Section = pi/64*Diameter of Circular section^4

Diameter of Circular Section given Section Modulus

Go Diameter of Circular section = ((32*Section Modulus)/pi)^(1/3)

Section Modulus for Circular Section

Go Section Modulus = pi/32*Diameter of Circular section^3

Diameter of Circular Section given Distance of Outermost Layer from Neutral Layer

Go Diameter of Circular section = 2*Distance b/w Outermost and Neutral Layer

Distance of Outermost Layer from Neutral Layer in Circular Sections

Go Distance b/w Outermost and Neutral Layer = Diameter of Circular section/2

Section Modulus for Circular Section Formula

Section Modulus = pi/32*Diameter of Circular section^3
Z = pi/32*d_c^3

What is the difference between elastic and plastic section modulus?

The elastic section modulus assumes the section remains elastic. The plastic section modulus assumes the entire section yields. Elastic modulus is the steel modulus based on the stress strain curve before yielding.

How to Calculate Section Modulus for Circular Section?

Section Modulus for Circular Section calculator uses Section Modulus = pi/32*Diameter of Circular section^3 to calculate the Section Modulus, Section modulus for Circular section is defined as is 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 for Circular Section using this online calculator? To use this online calculator for Section Modulus for Circular Section, enter Diameter of Circular section (d_c) and hit the calculate button. Here is how the Section Modulus for Circular Section calculation can be explained with given input values -> 4.6E+15 = pi/32*0.36^3.

FAQ

What is Section Modulus for Circular Section?

Section modulus for Circular section is defined as is 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_c^3 or Section Modulus = pi/32*Diameter of Circular section^3. Diameter of Circular section is the diameter of the circular cross-section of the beam.

How to calculate Section Modulus for Circular Section?

Section modulus for Circular section is defined as is a geometric property for a given cross-section used in the design of beams or flexural members is calculated using Section Modulus = pi/32*Diameter of Circular section^3. To calculate Section Modulus for Circular Section, you need Diameter of Circular section (d_c). With our tool, you need to enter the respective value for Diameter of 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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