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Section Modulus of Circular Section Formula

GoSection Modulus of Rectangular Section Formula

GoSection Modulus of Hollow Rectangular Section Formula

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Section Modulus is a geometric property for a given cross-section used in the design of beams or flexural members. Check FAQs

z = \frac{π \cdot ({d section}^{3})}{32}

z - Section Modulus?d_section - Diameter of Section?π - Archimedes' constant?

Section Modulus of Circular Section Example

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

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

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

12.2718 = \frac{3.1416 \cdot (5^{3})}{32}

12.2718mm³ = \frac{3.1416 \cdot ({5m}^{3})}{32}

12.2718 = \frac{3.1416 \cdot (5^{3})}{32}

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Section Modulus of Circular Section Solution

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

FIRST Step Consider the formula

z = \frac{π \cdot ({d section}^{3})}{32}

Next Step Substitute values of Variables

∴

z = \frac{π \cdot ({5m}^{3})}{32}

Next Step Substitute values of Constants

∴

z = \frac{3.1416 \cdot ({5m}^{3})}{32}

Next Step Prepare to Evaluate

∴

z = \frac{3.1416 \cdot (5^{3})}{32}

Next Step Evaluate

∴

z = 1.22718463030851E-08m³

Next Step Convert to Output's Unit

∴

z = 12.2718463030851mm³

LAST Step Rounding Answer

∴

z = 12.2718mm³

Section Modulus of Circular Section Formula Elements

Variables

Constants

Section Modulus

Section Modulus is a geometric property for a given cross-section used in the design of beams or flexural members.

Symbol: z

Measurement: VolumeUnit: mm³

Note: Value should be greater than 0.

Formulas to find Section Modulus

Diameter of Section

The Diameter of Section refers to the length of the segment that passes through the center of the circle and touches two points on the edge of the circle.

Symbol: d_section

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diameter of 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 to find Section Modulus

Go Section Modulus of Rectangular Section

z = \frac{B H \cdot (D^{2})}{6}

Go Section Modulus of Hollow Rectangular Section

z = \frac{B H \cdot (D^{3}) - b \cdot (d^{3})}{6 \cdot D}

Go Section Modulus of Hollow circular tube of uniform section

z = \frac{π \cdot (({d section}^{4}) - ({d i}^{4}))}{32 \cdot d section}

Go Section Modulus of Triangular Section

z = \frac{B H \cdot ({H s}^{2})}{24}

How to Evaluate Section Modulus of Circular Section?

Section Modulus of Circular Section evaluator uses Section Modulus = (pi*(Diameter of Section^3))/32 to evaluate the Section Modulus, The Section Modulus of Circular Section formula is defined as (pi*(diameter of section)^3)/32 It is a direct measure of the strength of the beam. Section Modulus is denoted by z symbol.

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

FAQs on Section Modulus of Circular Section

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

The formula of Section Modulus of Circular Section is expressed as Section Modulus = (pi*(Diameter of Section^3))/32. Here is an example- 12.27185 = (pi*(5^3))/32.

How to calculate Section Modulus of Circular Section?

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

What are the other ways to Calculate Section Modulus?

Here are the different ways to Calculate Section Modulus-

Section Modulus=(Width of a Section Channel*(Depth of Section^2))/6
Section Modulus=(Width of a Section Channel*(Depth of Section^3)-Interior Width of Section*(Interior Depth of Section^3))/(6*Depth of Section)
Section Modulus=(pi*((Diameter of Section^4)-(Interior Diameter of Circular Section^4)))/(32*Diameter of Section)

Can the Section Modulus of Circular Section be negative?

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

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

Section Modulus of 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 Circular Section can be measured.

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