Section Modulus given Bending Stress on Hollow Circular Section Solution

STEP 0: Pre-Calculation Summary
Formula Used
Section Modulus = Moment due to Eccentric Load/Bending Stress in Column
S = M/σb
This formula uses 3 Variables
Variables Used
Section Modulus - (Measured in Cubic Meter) - Section Modulus is a geometric property for a given cross-section used in the design of beams or flexural members.
Moment due to Eccentric Load - (Measured in Newton Meter) - Moment due to Eccentric Load is at any point of column section due to eccentric load.
Bending Stress in Column - (Measured in Pascal) - Bending Stress in Column is the normal stress that is induced at a point in a column subjected to loads that cause it to bend.
STEP 1: Convert Input(s) to Base Unit
Moment due to Eccentric Load: 8.1 Newton Meter --> 8.1 Newton Meter No Conversion Required
Bending Stress in Column: 0.00675 Megapascal --> 6750 Pascal (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
S = M/σb --> 8.1/6750
Evaluating ... ...
S = 0.0012
STEP 3: Convert Result to Output's Unit
0.0012 Cubic Meter -->1200000 Cubic Millimeter (Check conversion ​here)
FINAL ANSWER
1200000 1.2E+6 Cubic Millimeter <-- Section Modulus
(Calculation completed in 00.004 seconds)

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Kernel of Hollow Circular Section Calculators

Internal Diameter given Maximum Eccentricity of Load for Hollow Circular Section
​ LaTeX ​ Go Hollow Circular Section Inner Diameter = sqrt((Eccentricity of Loading*8*Outer Diameter of Hollow Circular Section)-(Outer Diameter of Hollow Circular Section^2))
Inner Diameter of Hollow Circular Section given Diameter of kernel
​ LaTeX ​ Go Hollow Circular Section Inner Diameter = sqrt((4*Outer Diameter of Hollow Circular Section*Diameter of kernel)-(Outer Diameter of Hollow Circular Section^2))
Maximum Value of Eccentricity of Load for Hollow Circular Section
​ LaTeX ​ Go Eccentricity of Loading = (1/(8*Outer Diameter of Hollow Circular Section))*((Outer Diameter of Hollow Circular Section^2)+(Hollow Circular Section Inner Diameter^2))
Diameter of kernel for hollow circular section
​ LaTeX ​ Go Diameter of kernel = (Outer Diameter of Hollow Circular Section^2+Hollow Circular Section Inner Diameter^2)/(4*Outer Diameter of Hollow Circular Section)

Section Modulus given Bending Stress on Hollow Circular Section Formula

​LaTeX ​Go
Section Modulus = Moment due to Eccentric Load/Bending Stress in Column
S = M/σb

What is the Section Modulus?

The Section Modulus is a geometric property of a cross-section used in engineering, particularly in the fields of structural and mechanical design. It is crucial in determining the strength and load-carrying capacity of structural members such as beams.

How to Calculate Section Modulus given Bending Stress on Hollow Circular Section?

Section Modulus given Bending Stress on Hollow Circular Section calculator uses Section Modulus = Moment due to Eccentric Load/Bending Stress in Column to calculate the Section Modulus, The Section Modulus given Bending Stress on Hollow Circular Section formula is defined as a measure of the ability of a hollow circular section to resist bending stress, providing a way to calculate the moment of inertia of the section, which is essential in structural analysis and design. Section Modulus is denoted by S symbol.

How to calculate Section Modulus given Bending Stress on Hollow Circular Section using this online calculator? To use this online calculator for Section Modulus given Bending Stress on Hollow Circular Section, enter Moment due to Eccentric Load (M) & Bending Stress in Column b) and hit the calculate button. Here is how the Section Modulus given Bending Stress on Hollow Circular Section calculation can be explained with given input values -> 2.5E+12 = 8.1/6750.

FAQ

What is Section Modulus given Bending Stress on Hollow Circular Section?
The Section Modulus given Bending Stress on Hollow Circular Section formula is defined as a measure of the ability of a hollow circular section to resist bending stress, providing a way to calculate the moment of inertia of the section, which is essential in structural analysis and design and is represented as S = M/σb or Section Modulus = Moment due to Eccentric Load/Bending Stress in Column. Moment due to Eccentric Load is at any point of column section due to eccentric load & Bending Stress in Column is the normal stress that is induced at a point in a column subjected to loads that cause it to bend.
How to calculate Section Modulus given Bending Stress on Hollow Circular Section?
The Section Modulus given Bending Stress on Hollow Circular Section formula is defined as a measure of the ability of a hollow circular section to resist bending stress, providing a way to calculate the moment of inertia of the section, which is essential in structural analysis and design is calculated using Section Modulus = Moment due to Eccentric Load/Bending Stress in Column. To calculate Section Modulus given Bending Stress on Hollow Circular Section, you need Moment due to Eccentric Load (M) & Bending Stress in Column b). With our tool, you need to enter the respective value for Moment due to Eccentric Load & Bending Stress in Column 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 Moment due to Eccentric Load & Bending Stress in Column. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Section Modulus = (Eccentricity of Loading*Eccentric Load on Column)/Bending Stress in Column
  • Section Modulus = (pi/(32*Outer Diameter of Hollow Circular Section))*((Outer Diameter of Hollow Circular Section^4)-(Hollow Circular Section Inner Diameter^4))
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