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Section Modulus of Hollow Rectangular Section Calculator

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Section modulus Hydraulic Depth Practical Channel Sections

✖The Width of a Section Channel refers to the horizontal measurement of the cross-section of the channel.ⓘ Width of a Section Channel [B_H]			+10% -10%
✖Depth of Section refers to the vertical distance between the water surface and the bottom of a channel, pipe, or waterway, influencing flow characteristics.ⓘ Depth of Section [D]			+10% -10%
✖Interior Width of Section is the interior width of the hollow rectangular section.ⓘ Interior Width of Section [b]			+10% -10%
✖Interior Depth of Section is the interior depth of the hollow rectangular section.ⓘ Interior Depth of Section [d]			+10% -10%

✖Section Modulus is a geometric property for a given cross-section used in the design of beams or flexural members.ⓘ Section Modulus of Hollow Rectangular Section [z]

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Formula

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Section Modulus of Hollow Rectangular Section

Formula

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

Example

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

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Download Section modulus, Hydraulic Depth and Practical Channel Sections Formulas PDF PDF Image

Section Modulus of Hollow Rectangular Section Solution

STEP 0: Pre-Calculation Summary

Formula Used

Section Modulus = (Width of a Section Channel*(Depth of Section^3)-Interior Width of Section*(Interior Depth of Section^3))/(6*Depth of Section)
z = (B_H*(D^3)-b*(d^3))/(6*D)
This formula uses 5 Variables

Variables Used

Section Modulus - (Measured in Cubic Millimeter) - Section Modulus is a geometric property for a given cross-section used in the design of beams or flexural members.
Width of a Section Channel - (Measured in Meter) - The Width of a Section Channel refers to the horizontal measurement of the cross-section of the channel.
Depth of Section - (Measured in Meter) - Depth of Section refers to the vertical distance between the water surface and the bottom of a channel, pipe, or waterway, influencing flow characteristics.
Interior Width of Section - (Measured in Meter) - Interior Width of Section is the interior width of the hollow rectangular section.
Interior Depth of Section - (Measured in Meter) - Interior Depth of Section is the interior depth of the hollow rectangular section.

STEP 1: Convert Input(s) to Base Unit

Width of a Section Channel: 20 Millimeter --> 0.02 Meter (Check conversion here)
Depth of Section: 100.1 Millimeter --> 0.1001 Meter (Check conversion here)
Interior Width of Section: 10.2 Millimeter --> 0.0102 Meter (Check conversion here)
Interior Depth of Section: 10 Millimeter --> 0.01 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

z = (B_H*(D^3)-b*(d^3))/(6*D) --> (0.02*(0.1001^3)-0.0102*(0.01^3))/(6*0.1001)

Evaluating ... ...

z = 3.33830503163503E-05

STEP 3: Convert Result to Output's Unit

3.33830503163503E-14 Cubic Meter -->3.33830503163503E-05 Cubic Millimeter (Check conversion here)

FINAL ANSWER

3.33830503163503E-05 ≈ 3.3E-5 Cubic Millimeter <-- Section Modulus

(Calculation completed in 00.004 seconds)

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< Section modulus Calculators

Section Modulus of Hollow Rectangular Section

Go Section Modulus = (Width of a Section Channel*(Depth of Section^3)-Interior Width of Section*(Interior Depth of Section^3))/(6*Depth of Section)

Section Modulus of Hollow circular tube of uniform section

Go Section Modulus = (pi*((Diameter of Section^4)-(Interior Diameter of Circular Section^4)))/(32*Diameter of Section)

Section Modulus of Rectangular Section

Go Section Modulus = (Width of a Section Channel*(Depth of Section^2))/6

Section Modulus of Circular Section

Go Section Modulus = (pi*(Diameter of Section^3))/32

Section Modulus of Hollow Rectangular Section 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)
z = (B_H*(D^3)-b*(d^3))/(6*D)

What is Section Modulus of Hollow Rectangular Section?

Section modulus of Hollow Rectangular Section is a geometric property for a hollow rectangular cross-section used in the design of beams or flexural members.

How to Calculate Section Modulus of Hollow Rectangular Section?

Section Modulus of Hollow Rectangular Section calculator 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 calculate 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 calculate Section Modulus of Hollow Rectangular Section using this online calculator? To use this online calculator 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. Here is how the Section Modulus of Hollow Rectangular Section calculation can be explained with given input values -> 166983.2 = (0.02*(0.1001^3)-0.0102*(0.01^3))/(6*0.1001).

FAQ

What is Section Modulus of Hollow Rectangular Section?

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 and is represented as z = (B_H*(D^3)-b*(d^3))/(6*D) or Section Modulus = (Width of a Section Channel*(Depth of Section^3)-Interior Width of Section*(Interior Depth of Section^3))/(6*Depth of Section). The Width of a Section Channel refers to the horizontal measurement of the cross-section of the channel, Depth of Section refers to the vertical distance between the water surface and the bottom of a channel, pipe, or waterway, influencing flow characteristics, Interior Width of Section is the interior width of the hollow rectangular section & Interior Depth of Section is the interior depth of the hollow rectangular section.

How to calculate Section Modulus of Hollow Rectangular Section?

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 is calculated using 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 calculate Section Modulus of Hollow Rectangular Section, you need Width of a Section Channel (B_H), Depth of Section (D), Interior Width of Section (b) & Interior Depth of Section (d). With our tool, you need to enter the respective value for Width of a Section Channel, Depth of Section, Interior Width of Section & Interior Depth of Section and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Section Modulus?

In this formula, Section Modulus uses Width of a Section Channel, Depth of Section, Interior Width of Section & Interior Depth of Section. We can use 3 other way(s) to calculate the same, which is/are as follows -

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)

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