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Section Modulus of Hollow Circular Section Formula

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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. Check FAQs

Z = \frac{π}{32 \cdot d o} \cdot ({d o}^{4} - {d i}^{4})

Z - Section Modulus?d_o - Outer Diameter of Hollow Circular Section?d_i - Inner Diameter of Hollow Circular Section?π - Archimedes' constant?

Section Modulus of Hollow Circular Section Example

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Here is how the Section Modulus of Hollow Circular Section equation looks like with Values.

Here is how the Section Modulus of Hollow Circular Section equation looks like with Units.

Here is how the Section Modulus of Hollow Circular Section equation looks like.

1.4E+6 = \frac{3.1416}{32 \cdot 240} \cdot (240^{4} - 15^{4})

1.4E+6mm³ = \frac{3.1416}{32 \cdot 240mm} \cdot ({240mm}^{4} - {15mm}^{4})

1.4E+6 = \frac{3.1416}{32 \cdot 240} \cdot (240^{4} - 15^{4})

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Section Modulus of Hollow Circular Section Solution

Follow our step by step solution on how to calculate Section Modulus of Hollow Circular Section?

FIRST Step Consider the formula

Z = \frac{π}{32 \cdot d o} \cdot ({d o}^{4} - {d i}^{4})

Next Step Substitute values of Variables

∴

Z = \frac{π}{32 \cdot 240mm} \cdot ({240mm}^{4} - {15mm}^{4})

Next Step Substitute values of Constants

∴

Z = \frac{3.1416}{32 \cdot 240mm} \cdot ({240mm}^{4} - {15mm}^{4})

Next Step Convert Units

∴

Z = \frac{3.1416}{32 \cdot 0.24m} \cdot ({0.24m}^{4} - {0.015m}^{4})

Next Step Prepare to Evaluate

∴

Z = \frac{3.1416}{32 \cdot 0.24} \cdot ({0.24}^{4} - {0.015}^{4})

Next Step Evaluate

∴

Z = 0.00135714731761015m³

Next Step Convert to Output's Unit

∴

Z = 1357147.31761015mm³

LAST Step Rounding Answer

∴

Z = 1.4E+6mm³

Section Modulus of Hollow Circular Section Formula Elements

Variables

Constants

Section Modulus

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.

Symbol: Z

Measurement: VolumeUnit: mm³

Note: Value should be greater than 0.

Formulas to find Section Modulus

Outer Diameter of Hollow Circular Section

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.

Symbol: d_o

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Outer Diameter of Hollow Circular Section

Inner Diameter of Hollow Circular Section

Inner Diameter of Hollow Circular Section is the distance measured across the interior of the hollow section, passing through its center.

Symbol: d_i

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Inner Diameter of Hollow Circular Section

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in Hollow Circular Section category

Go Inner Diameter of Hollow Circular Section given Section Modulus

d i = {({d o}^{4} - \frac{32 \cdot d o \cdot Z}{π})}^{\frac{1}{4}}

Go Outer Diameter of Hollow Circular Section

d o = 2 \cdot Y max

Go Distance of Outermost Layer from Neutral Axis in Hollow Circular Section

Y max = \frac{d o}{2}

Go Moment of Inertia of Hollow Circular Section

I circular = \frac{π}{64} \cdot ({d o}^{4} - {d i}^{4})

How to Evaluate Section Modulus of Hollow Circular Section?

Section Modulus of Hollow Circular Section evaluator 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 evaluate 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 evaluate Section Modulus of Hollow Circular Section using this online evaluator? To use this online evaluator 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.

FAQs on Section Modulus of Hollow Circular Section

What is the formula to find Section Modulus of Hollow Circular Section?

The formula of Section Modulus of Hollow Circular Section is expressed as Section Modulus = pi/(32*Outer Diameter of Hollow Circular Section)*(Outer Diameter of Hollow Circular Section^4-Inner Diameter of Hollow Circular Section^4). Here is an example- 1.4E+15 = pi/(32*0.24)*(0.24^4-0.015^4).

How to calculate Section Modulus of Hollow Circular Section?

With Outer Diameter of Hollow Circular Section (d_o) & Inner Diameter of Hollow Circular Section (d_i) we can find Section Modulus of Hollow Circular Section using the formula - Section Modulus = pi/(32*Outer Diameter of Hollow Circular Section)*(Outer Diameter of Hollow Circular Section^4-Inner Diameter of Hollow Circular Section^4). This formula also uses Archimedes' constant .

Can the Section Modulus of Hollow Circular Section be negative?

No, the Section Modulus of Hollow Circular Section, measured in Volume cannot be negative.

Which unit is used to measure Section Modulus of Hollow Circular Section?

Section Modulus of Hollow Circular Section is usually measured using the Cubic Millimeter[mm³] for Volume. Cubic Meter[mm³], Cubic Centimeter[mm³], Liter[mm³] are the few other units in which Section Modulus of Hollow Circular Section can be measured.

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Section Modulus of Hollow Circular Section Formula

Section Modulus of Hollow Circular Section Example

Section Modulus of Hollow Circular Section Solution

Section Modulus of Hollow Circular Section Formula Elements

Other formulas in Hollow Circular Section category

How to Evaluate Section Modulus of Hollow Circular Section?

FAQs on Section Modulus of Hollow Circular Section

Variable Name