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Section Modulus for Rectangular Section Formula

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Section Modulus is a geometric property of a cross-section used in structural and mechanical engineering to assess the strength of a beam or similar structure. Check FAQs

Z = \frac{1}{6} \cdot B \cdot L^{2}

Z - Section Modulus?B - Breadth of Rectangular Section?L - Length of Rectangular Section?

Section Modulus for Rectangular Section Example

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

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

Here is how the Section Modulus for Rectangular Section equation looks like.

2.4E+8 = \frac{1}{6} \cdot 650 \cdot 1500^{2}

2.4E+8mm³ = \frac{1}{6} \cdot 650mm \cdot {1500mm}^{2}

2.4E+8 = \frac{1}{6} \cdot 650 \cdot 1500^{2}

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Section Modulus for Rectangular Section Solution

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

FIRST Step Consider the formula

Z = \frac{1}{6} \cdot B \cdot L^{2}

Next Step Substitute values of Variables

∴

Z = \frac{1}{6} \cdot 650mm \cdot {1500mm}^{2}

Next Step Convert Units

∴

Z = \frac{1}{6} \cdot 0.65m \cdot {1.5m}^{2}

Next Step Prepare to Evaluate

∴

Z = \frac{1}{6} \cdot 0.65 \cdot {1.5}^{2}

Next Step Evaluate

∴

Z = 0.24375m³

Next Step Convert to Output's Unit

∴

Z = 243750000mm³

LAST Step Rounding Answer

∴

Z = 2.4E+8mm³

Section Modulus for Rectangular Section Formula Elements

Variables

Section Modulus

Section Modulus is a geometric property of a cross-section used in structural and mechanical engineering to assess the strength of a beam or similar structure.

Symbol: Z

Measurement: VolumeUnit: mm³

Note: Value should be greater than 0.

Formulas to find Section Modulus

Breadth of Rectangular Section

Breadth of Rectangular Section is one of the two primary dimensions of a rectangular cross-sectional area, typically the shorter dimension compared to the length.

Symbol: B

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Breadth of Rectangular Section

Length of Rectangular Section

Length of Rectangular Section is the longer dimension of a rectangular cross-section or structural component.

Symbol: L

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Length of Rectangular Section

Other formulas in Rectangular Section category

Go Breadth of Rectangular Section given Section Modulus

B = \frac{6 \cdot Z}{L^{2}}

Go Length of Rectangular Section given Section Modulus

L = \sqrt{\frac{6 \cdot Z}{B}}

Go Length of Rectangular Section using Distance of Outermost Layer from Neutral Layer

L = 2 \cdot Y max

Go Distance of Outermost Layer from Neutral Layer for Rectangular Section

Y max = \frac{L}{2}

How to Evaluate Section Modulus for Rectangular Section?

Section Modulus for Rectangular Section evaluator uses Section Modulus = 1/6*Breadth of Rectangular Section*Length of Rectangular Section^2 to evaluate the Section Modulus, The Section Modulus for Rectangular Section formula is defined as a geometric property that is used to calculate the bending stress in a rectangular beam, providing a measure of the beam's ability to resist bending. It is an important concept in structural engineering and is used to design beams that can withstand various types of loads. Section Modulus is denoted by Z symbol.

How to evaluate Section Modulus for Rectangular Section using this online evaluator? To use this online evaluator for Section Modulus for Rectangular Section, enter Breadth of Rectangular Section (B) & Length of Rectangular Section (L) and hit the calculate button.

FAQs on Section Modulus for Rectangular Section

What is the formula to find Section Modulus for Rectangular Section?

The formula of Section Modulus for Rectangular Section is expressed as Section Modulus = 1/6*Breadth of Rectangular Section*Length of Rectangular Section^2. Here is an example- 2.4E+17 = 1/6*0.65*1.5^2.

How to calculate Section Modulus for Rectangular Section?

With Breadth of Rectangular Section (B) & Length of Rectangular Section (L) we can find Section Modulus for Rectangular Section using the formula - Section Modulus = 1/6*Breadth of Rectangular Section*Length of Rectangular Section^2.

Can the Section Modulus for Rectangular Section be negative?

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

Which unit is used to measure Section Modulus for Rectangular Section?

Section Modulus for Rectangular 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 for Rectangular Section can be measured.

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Section Modulus for Rectangular Section Formula

Section Modulus for Rectangular Section Example

Section Modulus for Rectangular Section Solution

Section Modulus for Rectangular Section Formula Elements

Other formulas in Rectangular Section category

How to Evaluate Section Modulus for Rectangular Section?

FAQs on Section Modulus for Rectangular Section

Variable Name