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Section Modulus of Hollow Rectangular Section Formula

GoSection Modulus of Rectangular Section Formula

GoSection Modulus of Circular Section Formula

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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 H \cdot (D^{3}) - b \cdot (d^{3})}{6 \cdot D}

z - Section Modulus?B_H - Width of a Section Channel?D - Depth of Section?b - Interior Width of Section?d - Interior Depth of Section?

Section Modulus of Hollow Rectangular Section Example

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

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

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

3.3E-5 = \frac{20 \cdot ({100.1}^{3}) - 10.2 \cdot (10^{3})}{6 \cdot 100.1}

3.3E-5mm³ = \frac{20mm \cdot ({100.1mm}^{3}) - 10.2mm \cdot ({10mm}^{3})}{6 \cdot 100.1mm}

3.3E-5 = \frac{20 \cdot ({100.1}^{3}) - 10.2 \cdot (10^{3})}{6 \cdot 100.1}

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Section Modulus of Hollow Rectangular Section Solution

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

FIRST Step Consider the formula

z = \frac{B H \cdot (D^{3}) - b \cdot (d^{3})}{6 \cdot D}

Next Step Substitute values of Variables

∴

z = \frac{20mm \cdot ({100.1mm}^{3}) - 10.2mm \cdot ({10mm}^{3})}{6 \cdot 100.1mm}

Next Step Convert Units

∴

z = \frac{0.02m \cdot ({0.1001m}^{3}) - 0.0102m \cdot ({0.01m}^{3})}{6 \cdot 0.1001m}

Next Step Prepare to Evaluate

∴

z = \frac{0.02 \cdot ({0.1001}^{3}) - 0.0102 \cdot ({0.01}^{3})}{6 \cdot 0.1001}

Next Step Evaluate

∴

z = 3.33830503163503E-14m³

Next Step Convert to Output's Unit

∴

z = 3.33830503163503E-05mm³

LAST Step Rounding Answer

∴

z = 3.3E-5mm³

Section Modulus of Hollow Rectangular Section Formula Elements

Variables

Section Modulus

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

Symbol: z

Measurement: VolumeUnit: mm³

Note: Value should be greater than 0.

Formulas to find Section Modulus

Width of a Section Channel

The Width of a Section Channel refers to the horizontal measurement of the cross-section of the channel.

Symbol: B_H

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Width of a Section Channel

Depth of Section

Depth of Section refers to the vertical distance between the water surface and the bottom of a channel, pipe, or waterway, influencing flow characteristics.

Symbol: D

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Depth of Section

Interior Width of Section

Interior Width of Section is the interior width of the hollow rectangular section.

Symbol: b

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Interior Width of Section

Interior Depth of Section

Interior Depth of Section is the interior depth of the hollow rectangular section.

Symbol: d

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Interior Depth of Section

Other Formulas to find Section Modulus

Go Section Modulus of Rectangular Section

z = \frac{B H \cdot (D^{2})}{6}

Go Section Modulus of Circular Section

z = \frac{π \cdot ({d section}^{3})}{32}

Go Section Modulus of Hollow circular tube of uniform section

z = \frac{π \cdot (({d section}^{4}) - ({d i}^{4}))}{32 \cdot d section}

Go Section Modulus of Triangular Section

z = \frac{B H \cdot ({H s}^{2})}{24}

How to Evaluate Section Modulus of Hollow Rectangular Section?

Section Modulus of Hollow Rectangular Section evaluator uses Section Modulus = (Width of a Section Channel*(Depth of Section^3)-Interior Width of Section*(Interior Depth of Section^3))/(6*Depth of Section) to evaluate the Section Modulus, The Section Modulus of Hollow Rectangular Section formula is defined as the measure of a cross-section's ability to resist bending stresses and is vital for designing hydraulic structures with such profiles. Section Modulus is denoted by z symbol.

How to evaluate Section Modulus of Hollow Rectangular Section using this online evaluator? To use this online evaluator for Section Modulus of Hollow Rectangular Section, enter Width of a Section Channel (B_H), Depth of Section (D), Interior Width of Section (b) & Interior Depth of Section (d) and hit the calculate button.

FAQs on Section Modulus of Hollow Rectangular Section

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

The formula of Section Modulus of Hollow Rectangular Section is expressed as Section Modulus = (Width of a Section Channel*(Depth of Section^3)-Interior Width of Section*(Interior Depth of Section^3))/(6*Depth of Section). Here is an example- 166983.2 = (0.02*(0.1001^3)-0.0102*(0.01^3))/(6*0.1001).

How to calculate Section Modulus of Hollow Rectangular Section?

With Width of a Section Channel (B_H), Depth of Section (D), Interior Width of Section (b) & Interior Depth of Section (d) we can find Section Modulus of Hollow Rectangular Section using the formula - Section Modulus = (Width of a Section Channel*(Depth of Section^3)-Interior Width of Section*(Interior Depth of Section^3))/(6*Depth of Section).

What are the other ways to Calculate Section Modulus?

Here are the different ways to Calculate Section Modulus-

Section Modulus=(Width of a Section Channel*(Depth of Section^2))/6
Section Modulus=(pi*(Diameter of Section^3))/32
Section Modulus=(pi*((Diameter of Section^4)-(Interior Diameter of Circular Section^4)))/(32*Diameter of Section)

Can the Section Modulus of Hollow Rectangular Section be negative?

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

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

Section Modulus of Hollow 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 of Hollow Rectangular Section can be measured.

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Section Modulus of Hollow Rectangular Section Formula

​GoSection Modulus of Rectangular Section Formula

​GoSection Modulus of Circular Section Formula

Section Modulus of Hollow Rectangular Section Example

Section Modulus of Hollow Rectangular Section Solution

Section Modulus of Hollow Rectangular Section Formula Elements

Other Formulas to find Section Modulus

How to Evaluate Section Modulus of Hollow Rectangular Section?

FAQs on Section Modulus of Hollow Rectangular Section

Variable Name

GoSection Modulus of Rectangular Section Formula

GoSection Modulus of Circular Section Formula