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Section Modulus for 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 c}^{3}

Z - Section Modulus?d_c - Diameter of Circular Section?π - Archimedes' constant?

Section Modulus for Circular Section Example

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With units

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

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

Here is how the Section Modulus for Circular Section equation looks like.

4.6E+6 = \frac{3.1416}{32} \cdot 360^{3}

4.6E+6mm³ = \frac{3.1416}{32} \cdot {360mm}^{3}

4.6E+6 = \frac{3.1416}{32} \cdot 360^{3}

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Section Modulus for Circular Section Solution

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

FIRST Step Consider the formula

Z = \frac{π}{32} \cdot {d c}^{3}

Next Step Substitute values of Variables

∴

Z = \frac{π}{32} \cdot {360mm}^{3}

Next Step Substitute values of Constants

∴

Z = \frac{3.1416}{32} \cdot {360mm}^{3}

Next Step Convert Units

∴

Z = \frac{3.1416}{32} \cdot {0.36m}^{3}

Next Step Prepare to Evaluate

∴

Z = \frac{3.1416}{32} \cdot {0.36}^{3}

Next Step Evaluate

∴

Z = 0.00458044208893392m³

Next Step Convert to Output's Unit

∴

Z = 4580442.08893392mm³

LAST Step Rounding Answer

∴

Z = 4.6E+6mm³

Section Modulus for 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

Diameter of Circular Section

Diameter of Circular Section is the diameter of the circular cross-section of the beam.

Symbol: d_c

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of 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 Circular Section category

Go Diameter of Circular Section given Section Modulus

d c = {(\frac{32 \cdot Z}{π})}^{\frac{1}{3}}

Go Diameter of Circular Section given Distance of Outermost Layer from Neutral Layer

d c = 2 \cdot Y max

Go Distance of Outermost Layer from Neutral Layer in Circular Sections

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

Go Diameter of Circular Section given Moment of Inertia about Neutral Axis

d c = {(\frac{64 \cdot I circular}{π})}^{\frac{1}{4}}

How to Evaluate Section Modulus for Circular Section?

Section Modulus for Circular Section evaluator uses Section Modulus = pi/32*Diameter of Circular Section^3 to evaluate the Section Modulus, The Section Modulus for Circular Section formula is defined as a geometric property that characterizes the bending resistance of a circular section, providing a measure of the section's ability to resist bending stress and deformation under external loads. Section Modulus is denoted by Z symbol.

How to evaluate Section Modulus for Circular Section using this online evaluator? To use this online evaluator for Section Modulus for Circular Section, enter Diameter of Circular Section (d_c) and hit the calculate button.

FAQs on Section Modulus for Circular Section

What is the formula to find Section Modulus for Circular Section?

The formula of Section Modulus for Circular Section is expressed as Section Modulus = pi/32*Diameter of Circular Section^3. Here is an example- 4.6E+15 = pi/32*0.36^3.

How to calculate Section Modulus for Circular Section?

With Diameter of Circular Section (d_c) we can find Section Modulus for Circular Section using the formula - Section Modulus = pi/32*Diameter of Circular Section^3. This formula also uses Archimedes' constant .

Can the Section Modulus for Circular Section be negative?

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

Which unit is used to measure Section Modulus for Circular Section?

Section Modulus for 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 for Circular Section can be measured.

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