Diameter of Circular Shape given Section Modulus Calculator

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

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✖Diameter of circular shaft is denoted by d.ⓘ Diameter of Circular Shape given Section Modulus [Φ]

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Diameter of Circular Shape given Section Modulus Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of Circular Shaft = ((32*Section Modulus)/pi)^(1/3)
Φ = ((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 Shaft - (Measured in Meter) - Diameter of circular shaft is denoted by d.
Section Modulus - (Measured in Cubic Meter) - The 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: 0.04141 Cubic Meter --> 0.04141 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Φ = ((32*Z)/pi)^(1/3) --> ((32*0.04141)/pi)^(1/3)

Evaluating ... ...

Φ = 0.749954839579949

STEP 3: Convert Result to Output's Unit

0.749954839579949 Meter -->749.954839579949 Millimeter (Check conversion here)

FINAL ANSWER

749.954839579949 ≈ 749.9548 Millimeter <-- Diameter of Circular Shaft

(Calculation completed in 00.004 seconds)

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National Institute of Technology Karnataka (NITK), Surathkal

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< Section Modulus for Various Shapes Calculators

Section Modulus of Hollow Rectangular Shape

LaTeX Go Section Modulus = ((Outer Breadth of Hollow Rectangular Section*Outer Depth of Hollow Rectangular Section^3)-(Inner Breadth of Hollow Rectangular Section*Inner Depth of Hollow Rectangular Section^3))/(6*Outer Depth of Hollow Rectangular Section)

Depth of Rectangular Shape given Section Modulus

LaTeX Go Depth of Cross Section = sqrt((6*Section Modulus)/Width of Cross Section)

Breadth of Rectangular Shape given Section Modulus

LaTeX Go Width of Cross Section = (6*Section Modulus)/Depth of Cross Section^2

Section Modulus of Rectangular Shape

LaTeX Go Section Modulus = (Width of Cross Section*Depth of Cross Section^2)/6

Diameter of Circular Shape given Section Modulus Formula

LaTeX Go

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

What is Section Modulus?

The 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 Shape given Section Modulus?

Diameter of Circular Shape given Section Modulus calculator uses Diameter of Circular Shaft = ((32*Section Modulus)/pi)^(1/3) to calculate the Diameter of Circular Shaft, The Diameter of Circular Shape given Section Modulus formula is defined as diameter which can result in the specified section modulus. Diameter of Circular Shaft is denoted by Φ symbol.

How to calculate Diameter of Circular Shape given Section Modulus using this online calculator? To use this online calculator for Diameter of Circular Shape given Section Modulus, enter Section Modulus (Z) and hit the calculate button. Here is how the Diameter of Circular Shape given Section Modulus calculation can be explained with given input values -> 0.749955 = ((32*0.04141)/pi)^(1/3).

FAQ

What is Diameter of Circular Shape given Section Modulus?

The Diameter of Circular Shape given Section Modulus formula is defined as diameter which can result in the specified section modulus and is represented as Φ = ((32*Z)/pi)^(1/3) or Diameter of Circular Shaft = ((32*Section Modulus)/pi)^(1/3). The 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 Shape given Section Modulus?

The Diameter of Circular Shape given Section Modulus formula is defined as diameter which can result in the specified section modulus is calculated using Diameter of Circular Shaft = ((32*Section Modulus)/pi)^(1/3). To calculate Diameter of Circular Shape 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.

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