Depth of Rectangular Shape given Section Modulus 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%
✖Width of Cross Section is the geometric measurement or extent of the member from side to side.ⓘ Width of Cross Section [b]			+10% -10%

✖Depth of Cross Section (Height), in (mm) defines the geometrical measure from head to foot or from base to top of the section considered.ⓘ Depth of Rectangular Shape given Section Modulus [d]

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Depth of Rectangular Shape given Section Modulus Solution

STEP 0: Pre-Calculation Summary

Formula Used

Depth of Cross Section = sqrt((6*Section Modulus)/Width of Cross Section)
d = sqrt((6*Z)/b)
This formula uses 1 Functions, 3 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Depth of Cross Section - (Measured in Meter) - Depth of Cross Section (Height), in (mm) defines the geometrical measure from head to foot or from base to top of the section considered.
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.
Width of Cross Section - (Measured in Meter) - Width of Cross Section is the geometric measurement or extent of the member from side to side.

STEP 1: Convert Input(s) to Base Unit

Section Modulus: 0.04141 Cubic Meter --> 0.04141 Cubic Meter No Conversion Required
Width of Cross Section: 300 Millimeter --> 0.3 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d = sqrt((6*Z)/b) --> sqrt((6*0.04141)/0.3)

Evaluating ... ...

d = 0.910054943396276

STEP 3: Convert Result to Output's Unit

0.910054943396276 Meter -->910.054943396276 Millimeter (Check conversion here)

FINAL ANSWER

910.054943396276 ≈ 910.0549 Millimeter <-- Depth of Cross Section

(Calculation completed in 00.004 seconds)

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National Institute of Technology Karnataka (NITK), Surathkal

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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

Depth of Rectangular Shape given Section Modulus Formula

LaTeX Go

Depth of Cross Section = sqrt((6*Section Modulus)/Width of Cross Section)
d = sqrt((6*Z)/b)

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 Depth of Rectangular Shape given Section Modulus?

Depth of Rectangular Shape given Section Modulus calculator uses Depth of Cross Section = sqrt((6*Section Modulus)/Width of Cross Section) to calculate the Depth of Cross Section, The Depth of Rectangular Shape given Section Modulus formula is defined as the depth of the cross-section which can result in the given section modulus when breadth is constant. Depth of Cross Section is denoted by d symbol.

How to calculate Depth of Rectangular Shape given Section Modulus using this online calculator? To use this online calculator for Depth of Rectangular Shape given Section Modulus, enter Section Modulus (Z) & Width of Cross Section (b) and hit the calculate button. Here is how the Depth of Rectangular Shape given Section Modulus calculation can be explained with given input values -> 910054.9 = sqrt((6*0.04141)/0.3).

FAQ

What is Depth of Rectangular Shape given Section Modulus?

The Depth of Rectangular Shape given Section Modulus formula is defined as the depth of the cross-section which can result in the given section modulus when breadth is constant and is represented as d = sqrt((6*Z)/b) or Depth of Cross Section = sqrt((6*Section Modulus)/Width of Cross Section). The Section modulus is a geometric property for a given cross-section used in the design of beams or flexural members & Width of Cross Section is the geometric measurement or extent of the member from side to side.

How to calculate Depth of Rectangular Shape given Section Modulus?

The Depth of Rectangular Shape given Section Modulus formula is defined as the depth of the cross-section which can result in the given section modulus when breadth is constant is calculated using Depth of Cross Section = sqrt((6*Section Modulus)/Width of Cross Section). To calculate Depth of Rectangular Shape given Section Modulus, you need Section Modulus (Z) & Width of Cross Section (b). With our tool, you need to enter the respective value for Section Modulus & Width of Cross 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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