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Section Modulus of Hollow 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 ({d o}^{4} - {d i}^{4})}{32 \cdot d o}

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

Section Modulus of Hollow Circular Shape Example

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

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

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

0.0226 = \frac{3.1416 \cdot (700^{4} - 530^{4})}{32 \cdot 700}

0.0226m³ = \frac{3.1416 \cdot ({700mm}^{4} - {530mm}^{4})}{32 \cdot 700mm}

0.0226 = \frac{3.1416 \cdot (700^{4} - 530^{4})}{32 \cdot 700}

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Section Modulus of Hollow Circular Shape Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

Z = \frac{π \cdot ({700mm}^{4} - {530mm}^{4})}{32 \cdot 700mm}

Next Step Substitute values of Constants

∴

Z = \frac{3.1416 \cdot ({700mm}^{4} - {530mm}^{4})}{32 \cdot 700mm}

Next Step Convert Units

∴

Z = \frac{3.1416 \cdot ({0.7m}^{4} - {0.53m}^{4})}{32 \cdot 0.7m}

Next Step Prepare to Evaluate

∴

Z = \frac{3.1416 \cdot ({0.7}^{4} - {0.53}^{4})}{32 \cdot 0.7}

Next Step Evaluate

∴

Z = 0.0226075725311612m³

LAST Step Rounding Answer

∴

Z = 0.0226m³

Section Modulus of Hollow 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

Outer Diameter of Shaft

Outer Diameter of Shaft is the length of the longest chord of the surface of the hollow circular shaft.

Symbol: d_o

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Outer Diameter of Shaft

Inner Diameter of Shaft

The Inner Diameter of Shaft is the length of the longest chord inside the hollow shaft.

Symbol: d_i

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Inner Diameter of 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 Circular Shape

Z = \frac{π \cdot Φ^{3}}{32}

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 Hollow Circular Shape?

Section Modulus of Hollow Circular Shape evaluator uses Section Modulus = (pi*(Outer Diameter of Shaft^4-Inner Diameter of Shaft^4))/(32*Outer Diameter of Shaft) to evaluate the Section Modulus, The Section Modulus of Hollow 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 Hollow Circular Shape using this online evaluator? To use this online evaluator for Section Modulus of Hollow Circular Shape, enter Outer Diameter of Shaft (d_o) & Inner Diameter of Shaft (d_i) and hit the calculate button.

FAQs on Section Modulus of Hollow Circular Shape

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

The formula of Section Modulus of Hollow Circular Shape is expressed as Section Modulus = (pi*(Outer Diameter of Shaft^4-Inner Diameter of Shaft^4))/(32*Outer Diameter of Shaft). Here is an example- 0.022608 = (pi*(0.7^4-0.53^4))/(32*0.7).

How to calculate Section Modulus of Hollow Circular Shape?

With Outer Diameter of Shaft (d_o) & Inner Diameter of Shaft (d_i) we can find Section Modulus of Hollow Circular Shape using the formula - Section Modulus = (pi*(Outer Diameter of Shaft^4-Inner Diameter of Shaft^4))/(32*Outer Diameter of Shaft). 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*Diameter of Circular Shaft^3)/32

Can the Section Modulus of Hollow Circular Shape be negative?

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

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

Section Modulus of Hollow 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 Hollow Circular Shape can be measured.

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Section Modulus of Hollow Circular Shape Formula

​GoSection Modulus of Rectangular Shape Formula

​GoSection Modulus of Hollow Rectangular Shape Formula

Section Modulus of Hollow Circular Shape Example

Section Modulus of Hollow Circular Shape Solution

Section Modulus of Hollow Circular Shape Formula Elements

Other Formulas to find Section Modulus

Other formulas in Section Modulus for Various Shapes category

How to Evaluate Section Modulus of Hollow Circular Shape?

FAQs on Section Modulus of Hollow Circular Shape

Variable Name

GoSection Modulus of Rectangular Shape Formula

GoSection Modulus of Hollow Rectangular Shape Formula