Section Modulus of Hollow Circular Section 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%
✖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 [d_i]			+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 of Hollow Circular Section [Z]

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Section Modulus of Hollow Circular Section Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Outer Diameter of Hollow Circular Section: 240 Millimeter --> 0.24 Meter (Check conversion here)
Inner Diameter of Hollow Circular Section: 15 Millimeter --> 0.015 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Z = pi/(32*d_o)*(d_o^4-d_i^4) --> pi/(32*0.24)*(0.24^4-0.015^4)

Evaluating ... ...

Z = 0.00135714731761015

STEP 3: Convert Result to Output's Unit

0.00135714731761015 Cubic Meter -->1357147.31761015 Cubic Millimeter (Check conversion here)

FINAL ANSWER

1357147.31761015 ≈ 1.4E+6 Cubic Millimeter <-- Section Modulus

(Calculation completed in 00.004 seconds)

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Home » Physics » Strength of Materials » Bending Stress In Beam » Section Modulus for Various Beams or Shape Sections » Mechanical » Hollow Circular Section » Section Modulus of Hollow Circular Section

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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

Section Modulus of Hollow Circular Section Formula

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)
Z = pi/(32*d_o)*(d_o^4-d_i^4)

What is the 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 Section Modulus of Hollow Circular Section?

Section Modulus of Hollow Circular Section calculator uses Section Modulus = pi/(32*Outer Diameter of Hollow Circular Section)*(Outer Diameter of Hollow Circular Section^4-Inner Diameter of Hollow Circular Section^4) to calculate the Section Modulus, The Section Modulus of Hollow Circular Section formula is defined as a geometric property that characterizes the bending strength of a hollow circular section, providing a measure of its resistance to bending stress, which is essential in the design and analysis of beams and other structural elements. Section Modulus is denoted by Z symbol.

How to calculate Section Modulus of Hollow Circular Section using this online calculator? To use this online calculator for Section Modulus of Hollow Circular Section, enter Outer Diameter of Hollow Circular Section (d_o) & Inner Diameter of Hollow Circular Section (d_i) and hit the calculate button. Here is how the Section Modulus of Hollow Circular Section calculation can be explained with given input values -> 1.4E+15 = pi/(32*0.24)*(0.24^4-0.015^4).

FAQ

What is Section Modulus of Hollow Circular Section?

The Section Modulus of Hollow Circular Section formula is defined as a geometric property that characterizes the bending strength of a hollow circular section, providing a measure of its resistance to bending stress, which is essential in the design and analysis of beams and other structural elements and is represented as Z = pi/(32*d_o)*(d_o^4-d_i^4) or Section Modulus = pi/(32*Outer Diameter of Hollow Circular Section)*(Outer Diameter of Hollow Circular Section^4-Inner Diameter of Hollow Circular Section^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 & Inner Diameter of Hollow Circular Section is the distance measured across the interior of the hollow section, passing through its center.

How to calculate Section Modulus of Hollow Circular Section?

The Section Modulus of Hollow Circular Section formula is defined as a geometric property that characterizes the bending strength of a hollow circular section, providing a measure of its resistance to bending stress, which is essential in the design and analysis of beams and other structural elements is calculated using Section Modulus = pi/(32*Outer Diameter of Hollow Circular Section)*(Outer Diameter of Hollow Circular Section^4-Inner Diameter of Hollow Circular Section^4). To calculate Section Modulus of Hollow Circular Section, you need Outer Diameter of Hollow Circular Section (d_o) & Inner Diameter of Hollow Circular Section (d_i). With our tool, you need to enter the respective value for Outer Diameter of Hollow Circular Section & Inner Diameter of Hollow Circular Section 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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