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)

Credits

Created by Rithik Agrawal
National Institute of Technology Karnataka (NITK), Surathkal
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Birsa Institute of Technology (BIT), Sindri
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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)
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)
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))
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))
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 )
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)
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

Depth of Rectangular Shape given Section Modulus Formula

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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