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Section Modulus of Rectangular Shape Formula

GoSection Modulus of Hollow Rectangular Shape Formula

GoSection Modulus of Circular 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{b \cdot d^{2}}{6}

Z - Section Modulus?b - Width of Cross Section?d - Depth of Cross Section?

Section Modulus of Rectangular Shape Example

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

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

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

0.0414 = \frac{300 \cdot 910^{2}}{6}

0.0414m³ = \frac{300mm \cdot {910mm}^{2}}{6}

0.0414 = \frac{300 \cdot 910^{2}}{6}

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Section Modulus of Rectangular Shape Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

Z = \frac{300mm \cdot {910mm}^{2}}{6}

Next Step Convert Units

∴

Z = \frac{0.3m \cdot {0.91m}^{2}}{6}

Next Step Prepare to Evaluate

∴

Z = \frac{0.3 \cdot {0.91}^{2}}{6}

Next Step Evaluate

∴

Z = 0.041405m³

LAST Step Rounding Answer

∴

Z = 0.0414m³

Section Modulus of Rectangular Shape Formula Elements

Variables

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

Width of Cross Section

Width of Cross Section is the geometric measurement or extent of the member from side to side.

Symbol: b

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Width of Cross Section

Depth of Cross Section

Depth of Cross Section (Height), in (mm) defines the geometrical measure from head to foot or from base to top of the section considered.

Symbol: d

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Depth of Cross Section

Other Formulas to find Section Modulus

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}

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 Rectangular Shape?

Section Modulus of Rectangular Shape evaluator uses Section Modulus = (Width of Cross Section*Depth of Cross Section^2)/6 to evaluate the Section Modulus, The Section Modulus of Rectangular Shape formula is defined as the section modulus for a rectangular section when cross-section details are known. Section Modulus is denoted by Z symbol.

How to evaluate Section Modulus of Rectangular Shape using this online evaluator? To use this online evaluator for Section Modulus of Rectangular Shape, enter Width of Cross Section (b) & Depth of Cross Section (d) and hit the calculate button.

FAQs on Section Modulus of Rectangular Shape

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

The formula of Section Modulus of Rectangular Shape is expressed as Section Modulus = (Width of Cross Section*Depth of Cross Section^2)/6. Here is an example- 0.041405 = (0.3*0.91^2)/6.

How to calculate Section Modulus of Rectangular Shape?

With Width of Cross Section (b) & Depth of Cross Section (d) we can find Section Modulus of Rectangular Shape using the formula - Section Modulus = (Width of Cross Section*Depth of Cross Section^2)/6.

What are the other ways to Calculate Section Modulus?

Here are the different ways to Calculate Section Modulus-

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
Section Modulus=(pi*(Outer Diameter of Shaft^4-Inner Diameter of Shaft^4))/(32*Outer Diameter of Shaft)

Can the Section Modulus of Rectangular Shape be negative?

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

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

Section Modulus of Rectangular 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 Rectangular Shape can be measured.

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Section Modulus of Rectangular Shape Formula

​GoSection Modulus of Hollow Rectangular Shape Formula

​GoSection Modulus of Circular Shape Formula

Section Modulus of Rectangular Shape Example

Section Modulus of Rectangular Shape Solution

Section Modulus of Rectangular Shape Formula Elements

Other Formulas to find Section Modulus

Other formulas in Section Modulus for Various Shapes category

How to Evaluate Section Modulus of Rectangular Shape?

FAQs on Section Modulus of Rectangular Shape

Variable Name

GoSection Modulus of Hollow Rectangular Shape Formula

GoSection Modulus of Circular Shape Formula