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Section Modulus of Circular Shape Formula

GoSection Modulus of Rectangular Shape Formula

GoSection Modulus of Hollow Rectangular Shape Formula

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The 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 Φ^{3}}{32}

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

Section Modulus of Circular Shape Example

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

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

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

0.0414 = \frac{3.1416 \cdot 750^{3}}{32}

0.0414m³ = \frac{3.1416 \cdot {750mm}^{3}}{32}

0.0414 = \frac{3.1416 \cdot 750^{3}}{32}

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Section Modulus of Circular Shape Solution

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

FIRST Step Consider the formula

Z = \frac{π \cdot Φ^{3}}{32}

Next Step Substitute values of Variables

∴

Z = \frac{π \cdot {750mm}^{3}}{32}

Next Step Substitute values of Constants

∴

Z = \frac{3.1416 \cdot {750mm}^{3}}{32}

Next Step Convert Units

∴

Z = \frac{3.1416 \cdot {0.75m}^{3}}{32}

Next Step Prepare to Evaluate

∴

Z = \frac{3.1416 \cdot {0.75}^{3}}{32}

Next Step Evaluate

∴

Z = 0.0414174812729123m³

LAST Step Rounding Answer

∴

Z = 0.0414m³

Section Modulus of Circular Shape Formula Elements

Variables

Constants

Section Modulus

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

Symbol: Z

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Section Modulus

Diameter of Circular Shaft

Diameter of circular shaft is denoted by d.

Symbol: Φ

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Circular Shaft

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 Shape

Z = \frac{b \cdot d^{2}}{6}

Go Section Modulus of Hollow Rectangular Shape

Z = \frac{(B o \cdot {D o}^{3}) - (B i \cdot {D i}^{3})}{6 \cdot D o}

Go Section Modulus of Hollow Circular Shape

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

Other formulas in Section Modulus for Various Shapes category

Go Breadth of Rectangular Shape given Section Modulus

b = \frac{6 \cdot Z}{d^{2}}

Go Depth of Rectangular Shape given Section Modulus

d = \sqrt{\frac{6 \cdot Z}{b}}

Go Diameter of Circular Shape given Section Modulus

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

Go Allowable Bending Stress

f = 3 \cdot w \cdot \frac{L}{2 \cdot b Beam \cdot {d Beam}^{2}}

How to Evaluate Section Modulus of Circular Shape?

Section Modulus of Circular Shape evaluator uses Section Modulus = (pi*Diameter of Circular Shaft^3)/32 to evaluate the Section Modulus, The Section Modulus of Circular Shape formula is defined as section modulus when the cross-sectional properties are known. Section Modulus is denoted by Z symbol.

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

FAQs on Section Modulus of Circular Shape

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

The formula of Section Modulus of Circular Shape is expressed as Section Modulus = (pi*Diameter of Circular Shaft^3)/32. Here is an example- 0.041417 = (pi*0.75^3)/32.

How to calculate Section Modulus of Circular Shape?

With Diameter of Circular Shaft (Φ) we can find Section Modulus of Circular Shape using the formula - Section Modulus = (pi*Diameter of Circular Shaft^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 Cross Section*Depth of Cross Section^2)/6
Section Modulus=((Outer Breadth of Hollow Rectangular Section*Outer Depth of Hollow Rectangular Section^3)-(Inner Breadth of Hollow Rectangular Section*Inner Depth of Hollow Rectangular Section^3))/(6*Outer Depth of Hollow Rectangular Section)
Section Modulus=(pi*(Outer Diameter of Shaft^4-Inner Diameter of Shaft^4))/(32*Outer Diameter of Shaft)

Can the Section Modulus of Circular Shape be negative?

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

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

Section Modulus of Circular Shape is usually measured using the Cubic Meter[m³] for Volume. Cubic Centimeter[m³], Cubic Millimeter[m³], Liter[m³] are the few other units in which Section Modulus of Circular Shape can be measured.

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