Breadth 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%
✖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 Cross Section [d]			+10% -10%

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

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Formula

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Breadth of Rectangular Shape given Section Modulus

Formula

`"b" = (6*"Z")/"d"^2`

Example

`"300.0362mm"=(6*"0.04141m³")/("910mm")^2`

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Breadth of Rectangular Shape given Section Modulus Solution

STEP 0: Pre-Calculation Summary

Formula Used

Width of Cross Section = (6*Section Modulus)/Depth of Cross Section^2
b = (6*Z)/d^2
This formula uses 3 Variables

Variables Used

Width of Cross Section - (Measured in Meter) - Width of Cross Section is the geometric measurement or extent of the member from side to side.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Section Modulus: 0.04141 Cubic Meter --> 0.04141 Cubic Meter No Conversion Required
Depth of Cross Section: 910 Millimeter --> 0.91 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

b = (6*Z)/d^2 --> (6*0.04141)/0.91^2

Evaluating ... ...

b = 0.300036227508755

STEP 3: Convert Result to Output's Unit

0.300036227508755 Meter -->300.036227508755 Millimeter (Check conversion here)

FINAL ANSWER

300.036227508755 ≈ 300.0362 Millimeter <-- Width of Cross Section

(Calculation completed in 00.009 seconds)

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< 15 Section Modulus for Various Shapes Calculators

Inner Depth of Hollow Rectangular Shape

Go 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)

Outer Breadth of Hollow Rectangular Shape

Go Outer Breadth of Hollow Rectangular Section = ((6*Section Modulus*Outer Depth of Hollow Rectangular Section)+(Inner Breadth of Hollow Rectangular Section*Inner Depth of Hollow Rectangular Section^3))/(Outer Depth of Hollow Rectangular Section^(3))

Section Modulus of Hollow Rectangular Shape

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)

Inner Breadth of Hollow Rectangular Shape

Go Inner Breadth 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 Depth of Hollow Rectangular Section^3)

Depth of Beam for Uniform Strength in Bending Stress

Go Depth of Beam = sqrt((3*Load on Beam*Length of Beam)/(Allowable Bending Stress*2*Width of Beam))

Inner Diameter of Hollow Circular Shape in Bending Stress

Go Inner Diameter of Shaft = ((Outer Diameter of Shaft^4)-(32*Section Modulus*Outer Diameter of Shaft/pi))^(1/4)

Section Modulus of Hollow Circular Shape

Go Section Modulus = (pi*(Outer Diameter of Shaft^4-Inner Diameter of Shaft^4))/(32*Outer Diameter of Shaft)

Load on Beam for Uniform Strength in Bending Stress

Go Load on Beam = (Allowable Bending Stress*(2*Width of Beam*Depth of Beam^2))/(3*Length of Beam)

Beam Width for Uniform Strength in Bending Stress

Go Width of Beam = 3*Load on Beam*Length of Beam/(2*Allowable Bending Stress*Depth of Beam^2)

Allowable Bending Stress

Go Allowable Bending Stress = 3*Load on Beam*Length of Beam/(2*Width of Beam*Depth of Beam^2)

Depth of Rectangular Shape given Section Modulus

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

Breadth of Rectangular Shape given Section Modulus

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

Section Modulus of Rectangular Shape

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

Diameter of Circular Shape given Section Modulus

Go Diameter of Circular Shaft = ((32*Section Modulus)/pi)^(1/3)

Section Modulus of Circular Shape

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

Breadth of Rectangular Shape given Section Modulus Formula

Width of Cross Section = (6*Section Modulus)/Depth of Cross Section^2
b = (6*Z)/d^2

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 Breadth of Rectangular Shape given Section Modulus?

Breadth of Rectangular Shape given Section Modulus calculator uses Width of Cross Section = (6*Section Modulus)/Depth of Cross Section^2 to calculate the Width of Cross Section, The Breadth of Rectangular Shape given Section Modulus formula is defined as the breadth of the cross-section which can result in the given section modulus when depth is constant. Width of Cross Section is denoted by b symbol.

How to calculate Breadth of Rectangular Shape given Section Modulus using this online calculator? To use this online calculator for Breadth of Rectangular Shape given Section Modulus, enter Section Modulus (Z) & Depth of Cross Section (d) and hit the calculate button. Here is how the Breadth of Rectangular Shape given Section Modulus calculation can be explained with given input values -> 0.300036 = (6*0.04141)/0.91^2.

FAQ

What is Breadth of Rectangular Shape given Section Modulus?

The Breadth of Rectangular Shape given Section Modulus formula is defined as the breadth of the cross-section which can result in the given section modulus when depth is constant and is represented as b = (6*Z)/d^2 or Width of Cross Section = (6*Section Modulus)/Depth of Cross Section^2. The Section modulus is a geometric property for a given cross-section used in the design of beams or flexural members & Depth of Cross Section (Height), in (mm) defines the geometrical measure from head to foot or from base to top of the section considered.

How to calculate Breadth of Rectangular Shape given Section Modulus?

The Breadth of Rectangular Shape given Section Modulus formula is defined as the breadth of the cross-section which can result in the given section modulus when depth is constant is calculated using Width of Cross Section = (6*Section Modulus)/Depth of Cross Section^2. To calculate Breadth of Rectangular Shape given Section Modulus, you need Section Modulus (Z) & Depth of Cross Section (d). With our tool, you need to enter the respective value for Section Modulus & Depth 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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