Inner Diameter of Hollow Circular Section given Section Modulus Calculator

✖Outer Diameter of Hollow Circular Section is the measurement of the total width of the circular section from one outside edge to the opposite outside edge, passing through the center.ⓘ Outer Diameter of Hollow Circular Section [d_o]			+10% -10%
✖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]			+10% -10%

✖Inner Diameter of Hollow Circular Section is the distance measured across the interior of the hollow section, passing through its center.ⓘ Inner Diameter of Hollow Circular Section given Section Modulus [d_i]

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Inner Diameter of Hollow Circular Section given Section Modulus Solution

STEP 0: Pre-Calculation Summary

Formula Used

Inner Diameter of Hollow Circular Section = (Outer Diameter of Hollow Circular Section^4-(32*Outer Diameter of Hollow Circular Section*Section Modulus)/pi)^(1/4)
d_i = (d_o^4-(32*d_o*Z)/pi)^(1/4)
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Inner Diameter of Hollow Circular Section - (Measured in Meter) - Inner Diameter of Hollow Circular Section is the distance measured across the interior of the hollow section, passing through its center.
Outer Diameter of Hollow Circular Section - (Measured in Meter) - Outer Diameter of Hollow Circular Section is the measurement of the total width of the circular section from one outside edge to the opposite outside edge, passing through the center.
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

Outer Diameter of Hollow Circular Section: 240 Millimeter --> 0.24 Meter (Check conversion here)
Section Modulus: 25000 Cubic Millimeter --> 2.5E-05 Cubic Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_i = (d_o^4-(32*d_o*Z)/pi)^(1/4) --> (0.24^4-(32*0.24*2.5E-05)/pi)^(1/4)

Evaluating ... ...

d_i = 0.238887039489107

STEP 3: Convert Result to Output's Unit

0.238887039489107 Meter -->238.887039489107 Millimeter (Check conversion here)

FINAL ANSWER

238.887039489107 ≈ 238.887 Millimeter <-- Inner Diameter of Hollow Circular Section

(Calculation completed in 00.020 seconds)

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National Institute Of Technology (NIT), Hamirpur

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< Hollow Circular Section Calculators

Inner Diameter of Hollow Circular Section given Section Modulus

LaTeX Go Inner Diameter of Hollow Circular Section = (Outer Diameter of Hollow Circular Section^4-(32*Outer Diameter of Hollow Circular Section*Section Modulus)/pi)^(1/4)

Section Modulus of Hollow Circular Section

LaTeX Go Section Modulus = pi/(32*Outer Diameter of Hollow Circular Section)*(Outer Diameter of Hollow Circular Section^4-Inner Diameter of Hollow Circular Section^4)

Distance of Outermost Layer from Neutral Axis in Hollow Circular Section

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

Outer Diameter of Hollow Circular Section

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

Inner Diameter of Hollow Circular Section given Section Modulus Formula

LaTeX Go

Inner Diameter of Hollow Circular Section = (Outer Diameter of Hollow Circular Section^4-(32*Outer Diameter of Hollow Circular Section*Section Modulus)/pi)^(1/4)
d_i = (d_o^4-(32*d_o*Z)/pi)^(1/4)

What is Section Modulus?

The Section Modulus is a geometric property of a cross-section used in engineering, particularly in the fields of structural and mechanical design. It is crucial in determining the strength and load-carrying capacity of structural members such as beams.

How to Calculate Inner Diameter of Hollow Circular Section given Section Modulus?

Inner Diameter of Hollow Circular Section given Section Modulus calculator uses Inner Diameter of Hollow Circular Section = (Outer Diameter of Hollow Circular Section^4-(32*Outer Diameter of Hollow Circular Section*Section Modulus)/pi)^(1/4) to calculate the Inner Diameter of Hollow Circular Section, The Inner Diameter of Hollow Circular Section given Section Modulus formula is defined as a measure of the internal diameter of a hollow circular section, which is essential in calculating the bending stress in a beam, providing valuable insights into the structural integrity of the beam under various loads. Inner Diameter of Hollow Circular Section is denoted by d_i symbol.

How to calculate Inner Diameter of Hollow Circular Section given Section Modulus using this online calculator? To use this online calculator for Inner Diameter of Hollow Circular Section given Section Modulus, enter Outer Diameter of Hollow Circular Section (d_o) & Section Modulus (Z) and hit the calculate button. Here is how the Inner Diameter of Hollow Circular Section given Section Modulus calculation can be explained with given input values -> 238887 = (0.24^4-(32*0.24*2.5E-05)/pi)^(1/4).

FAQ

What is Inner Diameter of Hollow Circular Section given Section Modulus?

The Inner Diameter of Hollow Circular Section given Section Modulus formula is defined as a measure of the internal diameter of a hollow circular section, which is essential in calculating the bending stress in a beam, providing valuable insights into the structural integrity of the beam under various loads and is represented as d_i = (d_o^4-(32*d_o*Z)/pi)^(1/4) or Inner Diameter of Hollow Circular Section = (Outer Diameter of Hollow Circular Section^4-(32*Outer Diameter of Hollow Circular Section*Section Modulus)/pi)^(1/4). Outer Diameter of Hollow Circular Section is the measurement of the total width of the circular section from one outside edge to the opposite outside edge, passing through the center & 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 Inner Diameter of Hollow Circular Section given Section Modulus?

The Inner Diameter of Hollow Circular Section given Section Modulus formula is defined as a measure of the internal diameter of a hollow circular section, which is essential in calculating the bending stress in a beam, providing valuable insights into the structural integrity of the beam under various loads is calculated using Inner Diameter of Hollow Circular Section = (Outer Diameter of Hollow Circular Section^4-(32*Outer Diameter of Hollow Circular Section*Section Modulus)/pi)^(1/4). To calculate Inner Diameter of Hollow Circular Section given Section Modulus, you need Outer Diameter of Hollow Circular Section (d_o) & Section Modulus (Z). With our tool, you need to enter the respective value for Outer Diameter of Hollow Circular Section & 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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