Eccentric Load given Bending Stress on Hollow Circular Section Solution

STEP 0: Pre-Calculation Summary
Formula Used
Eccentric load on column = (Bending Stress in Column*Section Modulus)/Eccentricity of Loading
P = (σb*S)/eload
This formula uses 4 Variables
Variables Used
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 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.
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.
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)
Eccentricity of Loading: 25 Millimeter --> 0.025 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
P = (σb*S)/eload --> (40000*0.0012)/0.025
Evaluating ... ...
P = 1920
STEP 3: Convert Result to Output's Unit
1920 Newton -->1.92 Kilonewton (Check conversion here)
FINAL ANSWER
1.92 Kilonewton <-- Eccentric load on column
(Calculation completed in 00.004 seconds)

Credits

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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

Eccentric Load given Bending Stress on Hollow Circular Section Formula

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

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 a 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 Eccentric Load given Bending Stress on Hollow Circular Section?

Eccentric Load given Bending Stress on Hollow Circular Section calculator uses Eccentric load on column = (Bending Stress in Column*Section Modulus)/Eccentricity of Loading to calculate the Eccentric load on column, The Eccentric Load given bending stress on hollow circular section formula is defined as a load on a column or pile which is nonsymmetric with respect to the central axis, therefore producing a bending moment. Eccentric load on column is denoted by P symbol.

How to calculate Eccentric Load given Bending Stress on Hollow Circular Section using this online calculator? To use this online calculator for Eccentric Load given Bending Stress on Hollow Circular Section, enter Bending Stress in Column b), Section Modulus (S) & Eccentricity of Loading (eload) and hit the calculate button. Here is how the Eccentric Load given Bending Stress on Hollow Circular Section calculation can be explained with given input values -> 0.00024 = (40000*0.0012)/0.025.

FAQ

What is Eccentric Load given Bending Stress on Hollow Circular Section?
The Eccentric Load given bending stress on hollow circular section formula is defined as a load on a column or pile which is nonsymmetric with respect to the central axis, therefore producing a bending moment and is represented as P = (σb*S)/eload or Eccentric load on column = (Bending Stress in Column*Section Modulus)/Eccentricity of Loading. 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 & 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.
How to calculate Eccentric Load given Bending Stress on Hollow Circular Section?
The Eccentric Load given bending stress on hollow circular section formula is defined as a load on a column or pile which is nonsymmetric with respect to the central axis, therefore producing a bending moment is calculated using Eccentric load on column = (Bending Stress in Column*Section Modulus)/Eccentricity of Loading. To calculate Eccentric Load given Bending Stress on Hollow Circular Section, you need Bending Stress in Column b), Section Modulus (S) & Eccentricity of Loading (eload). With our tool, you need to enter the respective value for Bending Stress in Column, Section Modulus & Eccentricity of Loading 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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