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)
dc = ((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 for a given cross-section used in the design of beams or flexural members.
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
dc = ((32*Z)/pi)^(1/3) --> ((32*2.5E-05)/pi)^(1/3)
Evaluating ... ...
dc = 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 00.004 seconds)

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National Institute Of Technology (NIT), Hamirpur
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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

Diameter of Circular Section given Section Modulus Formula

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

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 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, Diameter of Circular section given section modulus is defined as any straight line segment that passes through the center of the circle and whose endpoints lie on the circle. Diameter of Circular section is denoted by dc 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?
Diameter of Circular section given section modulus is defined as any straight line segment that passes through the center of the circle and whose endpoints lie on the circle and is represented as dc = ((32*Z)/pi)^(1/3) or Diameter of Circular section = ((32*Section Modulus)/pi)^(1/3). Section Modulus is a geometric property for a given cross-section used in the design of beams or flexural members.
How to calculate Diameter of Circular Section given Section Modulus?
Diameter of Circular section given section modulus is defined as any straight line segment that passes through the center of the circle and whose endpoints lie on the circle 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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