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 body 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: 0.04 Megapascal --> 40000 Pascal (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
S = M/σb --> 8.1/40000
Evaluating ... ...
S = 0.0002025
STEP 3: Convert Result to Output's Unit
0.0002025 Cubic Meter -->202500 Cubic Millimeter (Check conversion here)
FINAL ANSWER
202500 Cubic Millimeter <-- Section Modulus
(Calculation completed in 00.004 seconds)

Credits

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National Institute Of Technology (NIT), Hamirpur
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Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur
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13 Kernel of Hollow Circular Section Calculators

Bending Stress for Hollow Circular section given Diameter
Go Bending Stress in Column = Moment due to eccentric load/((pi/(32*Outer Diameter of Hollow Circular Section))*((Outer Diameter of Hollow Circular Section^4)-(Hollow Circular Section Inner Diameter^4)))
Internal Diameter given Maximum Eccentricity of Load for Hollow Circular Section
Go Hollow Circular Section Inner Diameter = sqrt((Eccentricity of Loading*8*Outer Diameter of Hollow Circular Section)-(Outer Diameter of Hollow Circular Section^2))
Section modulus hollow circular section
Go Section Modulus = (pi/(32*Outer Diameter of Hollow Circular Section))*((Outer Diameter of Hollow Circular Section^4)-(Hollow Circular Section Inner Diameter^4))
Inner Diameter of Hollow Circular Section given Diameter of kernel
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
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
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 and Eccentric Load on Hollow Circular Section
Go Section Modulus = (Eccentricity of Loading*Eccentric load on column)/Bending Stress in Column
Bending Stress for Hollow Circular Section using Eccentric Load and Eccentricity
Go Bending Stress in Column = (Eccentricity of Loading*Eccentric load on column)/Section Modulus
Eccentric Load given Bending Stress on Hollow Circular Section
Go Eccentric load on column = (Bending Stress in Column*Section Modulus)/Eccentricity of Loading
Eccentricity given Bending Stress on Hollow Circular Section
Go Eccentricity of Loading = (Bending Stress in Column*Section Modulus)/Eccentric load on column
Moment due to Eccentric Load Bending Stress on Hollow Circular Section
Go Moment due to eccentric load = Bending Stress in Column*Section Modulus
Section Modulus given Bending Stress on Hollow Circular Section
Go Section Modulus = Moment due to eccentric load/Bending Stress in Column
Bending stress for hollow circular section
Go Bending Stress in Column = Moment due to eccentric load/Section Modulus

Section Modulus given Bending Stress on Hollow Circular Section Formula

Section Modulus = Moment due to eccentric load/Bending Stress in Column
S = M/σb

Is bending stress a normal stress?

Bending stress is a more specific type of normal stress. The stress at the horizontal plane of the neutral is zero. The bottom fibers of the beam undergo normal tensile stress. It can be concluded therefore that the value of the bending stress will vary linearly with distance from the neutral axis.

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 geometric property for a given cross-section used in the design of beams or flexural members. 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 -> 2E+14 = 8.1/40000.

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 geometric property for a given cross-section used in the design of beams or flexural members 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 body 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 geometric property for a given cross-section used in the design of beams or flexural members 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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