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Section Modulus of Hollow Rectangular Shape Formula

GoSection Modulus of 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 o \cdot {D o}^{3}) - (B i \cdot {D i}^{3})}{6 \cdot D o}

Z - Section Modulus?B_o - Outer Breadth of Hollow Rectangular Section?D_o - Outer Depth of Hollow Rectangular Section?B_i - Inner Breadth of Hollow Rectangular Section?D_i - Inner Depth of Hollow Rectangular Section?

Section Modulus of Hollow Rectangular Shape Example

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

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

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

0.1414 = \frac{(800 \cdot 1200^{3}) - (500 \cdot 900^{3})}{6 \cdot 1200}

0.1414m³ = \frac{(800mm \cdot {1200mm}^{3}) - (500mm \cdot {900mm}^{3})}{6 \cdot 1200mm}

0.1414 = \frac{(800 \cdot 1200^{3}) - (500 \cdot 900^{3})}{6 \cdot 1200}

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Section Modulus of Hollow Rectangular Shape Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

Z = \frac{(800mm \cdot {1200mm}^{3}) - (500mm \cdot {900mm}^{3})}{6 \cdot 1200mm}

Next Step Convert Units

∴

Z = \frac{(0.8m \cdot {1.2m}^{3}) - (0.5m \cdot {0.9m}^{3})}{6 \cdot 1.2m}

Next Step Prepare to Evaluate

∴

Z = \frac{(0.8 \cdot {1.2}^{3}) - (0.5 \cdot {0.9}^{3})}{6 \cdot 1.2}

Next Step Evaluate

∴

Z = 0.141375m³

LAST Step Rounding Answer

∴

Z = 0.1414m³

Section Modulus of Hollow 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

Outer Breadth of Hollow Rectangular Section

Outer Breadth of Hollow Rectangular Section is the exterior width of rectangle in a hollow rectangular section.

Symbol: B_o

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Outer Breadth of Hollow Rectangular Section

Outer Depth of Hollow Rectangular Section

Outer Depth of Hollow Rectangular Section is the exterior Depth of rectangle in a hollow rectangular section.

Symbol: D_o

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Outer Depth of Hollow Rectangular Section

Inner Breadth of Hollow Rectangular Section

Inner Breadth of Hollow Rectangular Section is the interior width of rectangle in a hollow rectangular section.

Symbol: B_i

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Inner Breadth of Hollow Rectangular Section

Inner Depth of Hollow Rectangular Section

Inner Depth of Hollow Rectangular Section is the interior Depth of rectangle in a hollow rectangular section.

Symbol: D_i

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Inner Depth of Hollow Rectangular Section

Other Formulas to find Section Modulus

Go Section Modulus of Rectangular Shape

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

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 Hollow Rectangular Shape?

Section Modulus of Hollow Rectangular Shape evaluator uses 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) to evaluate the Section Modulus, The Section Modulus of Hollow Rectangular 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 Rectangular Shape using this online evaluator? To use this online evaluator for Section Modulus of Hollow Rectangular Shape, enter Outer Breadth of Hollow Rectangular Section (B_o), Outer Depth of Hollow Rectangular Section (D_o), Inner Breadth of Hollow Rectangular Section (B_i) & Inner Depth of Hollow Rectangular Section (D_i) and hit the calculate button.

FAQs on Section Modulus of Hollow Rectangular Shape

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

The formula of Section Modulus of Hollow Rectangular Shape is expressed as 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). Here is an example- 0.141375 = ((0.8*1.2^3)-(0.5*0.9^3))/(6*1.2).

How to calculate Section Modulus of Hollow Rectangular Shape?

With Outer Breadth of Hollow Rectangular Section (B_o), Outer Depth of Hollow Rectangular Section (D_o), Inner Breadth of Hollow Rectangular Section (B_i) & Inner Depth of Hollow Rectangular Section (D_i) we can find Section Modulus of Hollow Rectangular Shape using the formula - 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).

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=(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 Hollow Rectangular Shape be negative?

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

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

Section Modulus of Hollow 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 Hollow Rectangular Shape can be measured.

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Section Modulus of Hollow Rectangular Shape Formula

​GoSection Modulus of Rectangular Shape Formula

​GoSection Modulus of Circular Shape Formula

Section Modulus of Hollow Rectangular Shape Example

Section Modulus of Hollow Rectangular Shape Solution

Section Modulus of Hollow 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 Hollow Rectangular Shape?

FAQs on Section Modulus of Hollow Rectangular Shape

Variable Name

GoSection Modulus of Rectangular Shape Formula

GoSection Modulus of Circular Shape Formula