Section Modulus given Bending Stress and Eccentric Load on Hollow Circular Section Calculator

✖Eccentricity of Loading is the distance between the actual line of action of loads and the line of action that would produce a uniform stress over the cross section of the specimen.ⓘ Eccentricity of Loading [e_load]			+10% -10%
✖Eccentric Load on Column is the load that causes direct stress as well as bending stress.ⓘ Eccentric Load on Column [P]			+10% -10%
✖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.ⓘ Bending Stress in Column [σ_b]			+10% -10%

✖Section Modulus is a geometric property for a given cross-section used in the design of beams or flexural members.ⓘ Section Modulus given Bending Stress and Eccentric Load on Hollow Circular Section [S]

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Section Modulus given Bending Stress and Eccentric Load on Hollow Circular Section Solution

STEP 0: Pre-Calculation Summary

Formula Used

Section Modulus = (Eccentricity of Loading*Eccentric Load on Column)/Bending Stress in Column
S = (e_load*P)/σ_b
This formula uses 4 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.
Eccentricity of Loading - (Measured in Meter) - Eccentricity of Loading is the distance between the actual line of action of loads and the line of action that would produce a uniform stress over the cross section of the specimen.
Eccentric Load on Column - (Measured in Newton) - Eccentric Load on Column is the load that causes direct stress as well as bending stress.
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

Eccentricity of Loading: 25 Millimeter --> 0.025 Meter (Check conversion here)
Eccentric Load on Column: 0.324 Kilonewton --> 324 Newton (Check conversion here)
Bending Stress in Column: 0.00675 Megapascal --> 6750 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S = (e_load*P)/σ_b --> (0.025*324)/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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Home » Physics » Strength of Materials » Direct And Bending Stress » Mechanical » Kernel of Hollow Circular Section » Section Modulus given Bending Stress and Eccentric Load on Hollow Circular Section

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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 and Eccentric Load on Hollow Circular Section Formula

LaTeX Go

Section Modulus = (Eccentricity of Loading*Eccentric Load on Column)/Bending Stress in Column
S = (e_load*P)/σ_b

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 and Eccentric Load on Hollow Circular Section?

Section Modulus given Bending Stress and Eccentric Load on Hollow Circular Section calculator uses Section Modulus = (Eccentricity of Loading*Eccentric Load on Column)/Bending Stress in Column to calculate the Section Modulus, The Section Modulus given Bending Stress and Eccentric Load on Hollow Circular Section formula is defined as a measure of the ability of a hollow circular section to resist bending stress caused by an eccentric load, providing a way to calculate the maximum stress a section can withstand without deforming plastically. Section Modulus is denoted by S symbol.

How to calculate Section Modulus given Bending Stress and Eccentric Load on Hollow Circular Section using this online calculator? To use this online calculator for Section Modulus given Bending Stress and Eccentric Load on Hollow Circular Section, enter Eccentricity of Loading (e_load), Eccentric Load on Column (P) & Bending Stress in Column (σ_b) and hit the calculate button. Here is how the Section Modulus given Bending Stress and Eccentric Load on Hollow Circular Section calculation can be explained with given input values -> 2.6E+16 = (0.025*324)/6750.

FAQ

What is Section Modulus given Bending Stress and Eccentric Load on Hollow Circular Section?

The Section Modulus given Bending Stress and Eccentric Load on Hollow Circular Section formula is defined as a measure of the ability of a hollow circular section to resist bending stress caused by an eccentric load, providing a way to calculate the maximum stress a section can withstand without deforming plastically and is represented as S = (e_load*P)/σ_b or Section Modulus = (Eccentricity of Loading*Eccentric Load on Column)/Bending Stress in Column. Eccentricity of Loading is the distance between the actual line of action of loads and the line of action that would produce a uniform stress over the cross section of the specimen, Eccentric Load on Column is the load that causes direct stress as well as bending stress & 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 and Eccentric Load on Hollow Circular Section?

The Section Modulus given Bending Stress and Eccentric Load on Hollow Circular Section formula is defined as a measure of the ability of a hollow circular section to resist bending stress caused by an eccentric load, providing a way to calculate the maximum stress a section can withstand without deforming plastically is calculated using Section Modulus = (Eccentricity of Loading*Eccentric Load on Column)/Bending Stress in Column. To calculate Section Modulus given Bending Stress and Eccentric Load on Hollow Circular Section, you need Eccentricity of Loading (e_load), Eccentric Load on Column (P) & Bending Stress in Column (σ_b). With our tool, you need to enter the respective value for Eccentricity of Loading, Eccentric Load on Column & 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 Eccentricity of Loading, Eccentric Load on Column & Bending Stress in Column. We can use 2 other way(s) to calculate the same, which is/are as follows -

Section Modulus = Moment due to Eccentric Load/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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