Inner Depth of Hollow Rectangular Shape Calculator

✖The Section modulus is a geometric property for a given cross-section used in the design of beams or flexural members.ⓘ Section Modulus [Z]			+10% -10%
✖Outer Depth of Hollow Rectangular Section is the exterior Depth of rectangle in a hollow rectangular section.ⓘ Outer Depth of Hollow Rectangular Section [D_o]			+10% -10%
✖Outer Breadth of Hollow Rectangular Section is the exterior width of rectangle in a hollow rectangular section.ⓘ Outer Breadth of Hollow Rectangular Section [B_o]			+10% -10%
✖Inner Breadth of Hollow Rectangular Section is the interior width of rectangle in a hollow rectangular section.ⓘ Inner Breadth of Hollow Rectangular Section [B_i]			+10% -10%

✖Inner Depth of Hollow Rectangular Section is the interior Depth of rectangle in a hollow rectangular section.ⓘ Inner Depth of Hollow Rectangular Shape [D_i]

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Inner Depth of Hollow Rectangular Shape Solution

STEP 0: Pre-Calculation Summary

Formula Used

Inner Depth of Hollow Rectangular Section = (((6*Section Modulus*Outer Depth of Hollow Rectangular Section)+(Outer Breadth of Hollow Rectangular Section*Outer Depth of Hollow Rectangular Section^3))/(Inner Breadth of Hollow Rectangular Section))^(1/3)
D_i = (((6*Z*D_o)+(B_o*D_o^3))/(B_i))^(1/3)
This formula uses 5 Variables

Variables Used

Inner Depth of Hollow Rectangular Section - (Measured in Meter) - Inner Depth of Hollow Rectangular Section is the interior Depth of rectangle in a hollow rectangular section.
Section Modulus - (Measured in Cubic Meter) - The Section modulus is a geometric property for a given cross-section used in the design of beams or flexural members.
Outer Depth of Hollow Rectangular Section - (Measured in Meter) - Outer Depth of Hollow Rectangular Section is the exterior Depth of rectangle in a hollow rectangular section.
Outer Breadth of Hollow Rectangular Section - (Measured in Meter) - Outer Breadth of Hollow Rectangular Section is the exterior width of rectangle in a hollow rectangular section.
Inner Breadth of Hollow Rectangular Section - (Measured in Meter) - Inner Breadth of Hollow Rectangular Section is the interior width of rectangle in a hollow rectangular section.

STEP 1: Convert Input(s) to Base Unit

Section Modulus: 0.04141 Cubic Meter --> 0.04141 Cubic Meter No Conversion Required
Outer Depth of Hollow Rectangular Section: 1200 Millimeter --> 1.2 Meter (Check conversion here)
Outer Breadth of Hollow Rectangular Section: 800 Millimeter --> 0.8 Meter (Check conversion here)
Inner Breadth of Hollow Rectangular Section: 500 Millimeter --> 0.5 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D_i = (((6*Z*D_o)+(B_o*D_o^3))/(B_i))^(1/3) --> (((6*0.04141*1.2)+(0.8*1.2^3))/(0.5))^(1/3)

Evaluating ... ...

D_i = 1.49793850144706

STEP 3: Convert Result to Output's Unit

1.49793850144706 Meter -->1497.93850144706 Millimeter (Check conversion here)

FINAL ANSWER

1497.93850144706 ≈ 1497.939 Millimeter <-- Inner Depth of Hollow Rectangular Section

(Calculation completed in 00.007 seconds)

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Created by Rachana B V

The National Institute of Engineering (NIE), Mysuru

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< Section Modulus for Various Shapes Calculators

Section Modulus of Hollow Rectangular Shape

LaTeX Go 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)

Depth of Rectangular Shape given Section Modulus

LaTeX Go Depth of Cross Section = sqrt((6*Section Modulus)/Width of Cross Section)

Breadth of Rectangular Shape given Section Modulus

LaTeX Go Width of Cross Section = (6*Section Modulus)/Depth of Cross Section^2

Section Modulus of Rectangular Shape

LaTeX Go Section Modulus = (Width of Cross Section*Depth of Cross Section^2)/6

Inner Depth of Hollow Rectangular Shape Formula

LaTeX Go

What is Section Modulus?

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

How to Calculate Inner Depth of Hollow Rectangular Shape?

Inner Depth of Hollow Rectangular Shape calculator uses Inner Depth of Hollow Rectangular Section = (((6*Section Modulus*Outer Depth of Hollow Rectangular Section)+(Outer Breadth of Hollow Rectangular Section*Outer Depth of Hollow Rectangular Section^3))/(Inner Breadth of Hollow Rectangular Section))^(1/3) to calculate the Inner Depth of Hollow Rectangular Section, The Inner Depth of Hollow Rectangular Shape formula is defined as the distance between its inner surfaces or faces along the vertical axis. Inner Depth of Hollow Rectangular Section is denoted by D_i symbol.

How to calculate Inner Depth of Hollow Rectangular Shape using this online calculator? To use this online calculator for Inner Depth of Hollow Rectangular Shape, enter Section Modulus (Z), Outer Depth of Hollow Rectangular Section (D_o), Outer Breadth of Hollow Rectangular Section (B_o) & Inner Breadth of Hollow Rectangular Section (B_i) and hit the calculate button. Here is how the Inner Depth of Hollow Rectangular Shape calculation can be explained with given input values -> 1.5E+6 = (((6*0.04141*1.2)+(0.8*1.2^3))/(0.5))^(1/3).

FAQ

What is Inner Depth of Hollow Rectangular Shape?

The Inner Depth of Hollow Rectangular Shape formula is defined as the distance between its inner surfaces or faces along the vertical axis and is represented as D_i = (((6*Z*D_o)+(B_o*D_o^3))/(B_i))^(1/3) or Inner Depth of Hollow Rectangular Section = (((6*Section Modulus*Outer Depth of Hollow Rectangular Section)+(Outer Breadth of Hollow Rectangular Section*Outer Depth of Hollow Rectangular Section^3))/(Inner Breadth of Hollow Rectangular Section))^(1/3). The Section modulus is a geometric property for a given cross-section used in the design of beams or flexural members, Outer Depth of Hollow Rectangular Section is the exterior Depth of rectangle in a hollow rectangular section, Outer Breadth of Hollow Rectangular Section is the exterior width of rectangle in a hollow rectangular section & Inner Breadth of Hollow Rectangular Section is the interior width of rectangle in a hollow rectangular section.

How to calculate Inner Depth of Hollow Rectangular Shape?

The Inner Depth of Hollow Rectangular Shape formula is defined as the distance between its inner surfaces or faces along the vertical axis is calculated using Inner Depth of Hollow Rectangular Section = (((6*Section Modulus*Outer Depth of Hollow Rectangular Section)+(Outer Breadth of Hollow Rectangular Section*Outer Depth of Hollow Rectangular Section^3))/(Inner Breadth of Hollow Rectangular Section))^(1/3). To calculate Inner Depth of Hollow Rectangular Shape, you need Section Modulus (Z), Outer Depth of Hollow Rectangular Section (D_o), Outer Breadth of Hollow Rectangular Section (B_o) & Inner Breadth of Hollow Rectangular Section (B_i). With our tool, you need to enter the respective value for Section Modulus, Outer Depth of Hollow Rectangular Section, Outer Breadth of Hollow Rectangular Section & Inner Breadth of Hollow Rectangular Section and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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