Diameter of Circular Section given Section Modulus Calculator

✖Section Modulus is a geometric property of a cross-section used in structural and mechanical engineering to assess the strength of a beam or similar structure.ⓘ Section Modulus [Z]

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✖Diameter of Circular Section is the diameter of the circular cross-section of the beam.ⓘ Diameter of Circular Section given Section Modulus [d_c]

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Diameter of Circular Section given Section Modulus Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Diameter of Circular Section - (Measured in Meter) - Diameter of Circular Section is the diameter of the circular cross-section of the beam.
Section Modulus - (Measured in Cubic Meter) - Section Modulus is a geometric property of a cross-section used in structural and mechanical engineering to assess the strength of a beam or similar structure.

STEP 1: Convert Input(s) to Base Unit

Section Modulus: 25000 Cubic Millimeter --> 2.5E-05 Cubic Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_c = ((32*Z)/pi)^(1/3) --> ((32*2.5E-05)/pi)^(1/3)

Evaluating ... ...

d_c = 0.0633840576754908

STEP 3: Convert Result to Output's Unit

0.0633840576754908 Meter -->63.3840576754908 Millimeter (Check conversion here)

FINAL ANSWER

63.3840576754908 ≈ 63.38406 Millimeter <-- Diameter of Circular Section

(Calculation completed in 00.020 seconds)

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National Institute Of Technology (NIT), Hamirpur

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< Circular Section Calculators

Diameter of Circular Section given Section Modulus

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

Section Modulus for Circular Section

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

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

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

Distance of Outermost Layer from Neutral Layer in Circular Sections

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

Diameter of Circular Section given Section Modulus Formula

LaTeX Go

Diameter of Circular Section = ((32*Section Modulus)/pi)^(1/3)
d_c = ((32*Z)/pi)^(1/3)

What is Plastic Section Modulus?

Plastic Section Modulus (Zₚ) is a geometric property of a cross-section used to describe the strength of a material in the plastic range, after yielding has occurred. It measures the ability of a cross-section to undergo plastic deformation without losing its structural integrity, typically used in the context of beams and columns in structural and mechanical engineering.

How to Calculate Diameter of Circular Section given Section Modulus?

Diameter of Circular Section given Section Modulus calculator uses Diameter of Circular Section = ((32*Section Modulus)/pi)^(1/3) to calculate the Diameter of Circular Section, The Diameter of Circular Section given Section Modulus formula is defined as a measure of the diameter of a circular section in a beam, which is essential in calculating the bending stress and ensuring the structural integrity of the beam. Diameter of Circular Section is denoted by d_c symbol.

How to calculate Diameter of Circular Section given Section Modulus using this online calculator? To use this online calculator for Diameter of Circular Section given Section Modulus, enter Section Modulus (Z) and hit the calculate button. Here is how the Diameter of Circular Section given Section Modulus calculation can be explained with given input values -> 63384.06 = ((32*2.5E-05)/pi)^(1/3).

FAQ

What is Diameter of Circular Section given Section Modulus?

The Diameter of Circular Section given Section Modulus formula is defined as a measure of the diameter of a circular section in a beam, which is essential in calculating the bending stress and ensuring the structural integrity of the beam and is represented as d_c = ((32*Z)/pi)^(1/3) or Diameter of Circular Section = ((32*Section Modulus)/pi)^(1/3). Section Modulus is a geometric property of a cross-section used in structural and mechanical engineering to assess the strength of a beam or similar structure.

How to calculate Diameter of Circular Section given Section Modulus?

The Diameter of Circular Section given Section Modulus formula is defined as a measure of the diameter of a circular section in a beam, which is essential in calculating the bending stress and ensuring the structural integrity of the beam is calculated using Diameter of Circular Section = ((32*Section Modulus)/pi)^(1/3). To calculate Diameter of Circular Section given Section Modulus, you need Section Modulus (Z). With our tool, you need to enter the respective value for Section Modulus 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 Diameter of Circular Section?

In this formula, Diameter of Circular Section uses Section Modulus. We can use 2 other way(s) to calculate the same, which is/are as follows -

Diameter of Circular Section = 2*Distance b/w Outermost and Neutral Layer
Diameter of Circular Section = ((64*MOI of Area of Circular Section)/(pi))^(1/4)

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