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 = (BH*(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 = (BH*(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 00.020 seconds)

Credits

Created by Alithea Fernandes
Don Bosco College of Engineering (DBCE), Goa
Alithea Fernandes has created this Calculator and 100+ more calculators!
Birla Institute of Technology & Science (BITS), Hyderabad
Venkata Sai Prasanna Aradhyula has verified this Calculator and 10+ more calculators!

5 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 Triangular Section
Go Section Modulus = (Width of a Section Channel*(Height of Section^2))/24
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 = (BH*(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 (BH), 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 = (BH*(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 (BH), 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 4 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)
  • Section Modulus = (Width of a Section Channel*(Height of Section^2))/24
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!