Eccentricity given Bending Stress on Hollow Circular Section Calculator

✖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.ⓘ 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 [S]			+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%

✖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 given Bending Stress on Hollow Circular Section [e_load]

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Eccentricity given Bending Stress on Hollow Circular Section

Formula

`"e"_{"load"} = ("σ"_{"b"}*"S")/"P"`

Example

`"6.857143mm"=("0.04MPa"*"12E5mm³")/"7kN"`

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Eccentricity given Bending Stress on Hollow Circular Section Solution

STEP 0: Pre-Calculation Summary

Formula Used

Eccentricity of Loading = (Bending Stress in Column*Section Modulus)/Eccentric load on column
e_load = (σ_b*S)/P
This formula uses 4 Variables

Variables Used

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.
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.
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.
Eccentric load on column - (Measured in Newton) - Eccentric load on column is the load that causes direct stress as well as bending stress.

STEP 1: Convert Input(s) to Base Unit

Bending Stress in Column: 0.04 Megapascal --> 40000 Pascal (Check conversion here)
Section Modulus: 1200000 Cubic Millimeter --> 0.0012 Cubic Meter (Check conversion here)
Eccentric load on column: 7 Kilonewton --> 7000 Newton (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

e_load = (σ_b*S)/P --> (40000*0.0012)/7000

Evaluating ... ...

e_load = 0.00685714285714286

STEP 3: Convert Result to Output's Unit

0.00685714285714286 Meter -->6.85714285714286 Millimeter (Check conversion here)

FINAL ANSWER

6.85714285714286 ≈ 6.857143 Millimeter <-- Eccentricity of Loading

(Calculation completed in 00.004 seconds)

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National Institute Of Technology (NIT), Hamirpur

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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

Eccentricity given Bending Stress on Hollow Circular Section Formula

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

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 Eccentricity given Bending Stress on Hollow Circular Section?

Eccentricity given Bending Stress on Hollow Circular Section calculator uses Eccentricity of Loading = (Bending Stress in Column*Section Modulus)/Eccentric load on column to calculate the Eccentricity of Loading, The Eccentricity given bending stress on hollow circular section formula is defined as the distance between the actual line of action of compressive or tensile loads and the line of action that would produce uniform stress over the cross-section of the specimen. Eccentricity of Loading is denoted by e_load symbol.

How to calculate Eccentricity given Bending Stress on Hollow Circular Section using this online calculator? To use this online calculator for Eccentricity given Bending Stress on Hollow Circular Section, enter Bending Stress in Column (σ_b), Section Modulus (S) & Eccentric load on column (P) and hit the calculate button. Here is how the Eccentricity given Bending Stress on Hollow Circular Section calculation can be explained with given input values -> 6857.143 = (40000*0.0012)/7000.

FAQ

What is Eccentricity given Bending Stress on Hollow Circular Section?

The Eccentricity given bending stress on hollow circular section formula is defined as the distance between the actual line of action of compressive or tensile loads and the line of action that would produce uniform stress over the cross-section of the specimen and is represented as e_load = (σ_b*S)/P or Eccentricity of Loading = (Bending Stress in Column*Section Modulus)/Eccentric load on column. 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, Section Modulus is a geometric property for a given cross-section used in the design of beams or flexural members & Eccentric load on column is the load that causes direct stress as well as bending stress.

How to calculate Eccentricity given Bending Stress on Hollow Circular Section?

The Eccentricity given bending stress on hollow circular section formula is defined as the distance between the actual line of action of compressive or tensile loads and the line of action that would produce uniform stress over the cross-section of the specimen is calculated using Eccentricity of Loading = (Bending Stress in Column*Section Modulus)/Eccentric load on column. To calculate Eccentricity given Bending Stress on Hollow Circular Section, you need Bending Stress in Column (σ_b), Section Modulus (S) & Eccentric load on column (P). With our tool, you need to enter the respective value for Bending Stress in Column, Section Modulus & Eccentric load on 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 Eccentricity of Loading?

In this formula, Eccentricity of Loading uses Bending Stress in Column, Section Modulus & Eccentric load on column. We can use 1 other way(s) to calculate the same, which is/are as follows -

Eccentricity of Loading = (1/(8*Outer Diameter of Hollow Circular Section))*((Outer Diameter of Hollow Circular Section^2)+(Hollow Circular Section Inner Diameter^2))

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