Section Modulus of Circular Section Solution

STEP 0: Pre-Calculation Summary
Formula Used
Section Modulus = (pi*(Diameter of Section^3))/32
z = (pi*(dsection^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) - The Diameter of Section refers to the length of the segment that passes through the center of the circle and touches two points on the edge of the circle.
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*(dsection^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 00.004 seconds)

Credits

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Created by Alithea Fernandes
Don Bosco College of Engineering (DBCE), Goa
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Verified by Mayank Tayal
National Institute of Technology (NIT), Durgapur
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Section modulus Calculators

Section Modulus of Hollow Rectangular Section
​ LaTeX ​ 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
​ LaTeX ​ Go Section Modulus = (pi*((Diameter of Section^4)-(Interior Diameter of Circular Section^4)))/(32*Diameter of Section)
Section Modulus of Rectangular Section
​ LaTeX ​ Go Section Modulus = (Width of a Section Channel*(Depth of Section^2))/6
Section Modulus of Circular Section
​ LaTeX ​ Go Section Modulus = (pi*(Diameter of Section^3))/32

Section Modulus of Circular Section Formula

​LaTeX ​Go
Section Modulus = (pi*(Diameter of Section^3))/32
z = (pi*(dsection^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 (dsection) 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*(dsection^3))/32 or Section Modulus = (pi*(Diameter of Section^3))/32. The Diameter of Section refers to the length of the segment that passes through the center of the circle and touches two points on the edge of the circle.
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 (dsection). 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 3 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)
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