Eccentric load for given direct stress for circular section Calculator

✖Direct Stress is defined as axial thrust acting per unit area.ⓘ Direct Stress [σ]			+10% -10%
✖Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.ⓘ Diameter [d]			+10% -10%

✖Eccentric load on column is the load that causes direct stress as well as bending stress.ⓘ Eccentric load for given direct stress for circular section [P]

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Formula

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Eccentric load for given direct stress for circular section

Formula

`"P" = ("σ"*pi*("d"^2))/4`

Example

`"0.791838kN"=("0.05MPa"*pi*(("142mm")^2))/4`

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Eccentric load for given direct stress for circular section Solution

STEP 0: Pre-Calculation Summary

Formula Used

Eccentric load on column = (Direct Stress*pi*(Diameter^2))/4
P = (σ*pi*(d^2))/4
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

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.
Direct Stress - (Measured in Pascal) - Direct Stress is defined as axial thrust acting per unit area.
Diameter - (Measured in Meter) - Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.

STEP 1: Convert Input(s) to Base Unit

Direct Stress: 0.05 Megapascal --> 50000 Pascal (Check conversion here)
Diameter: 142 Millimeter --> 0.142 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = (σ*pi*(d^2))/4 --> (50000*pi*(0.142^2))/4

Evaluating ... ...

P = 791.838428337307

STEP 3: Convert Result to Output's Unit

791.838428337307 Newton -->0.791838428337307 Kilonewton (Check conversion here)

FINAL ANSWER

0.791838428337307 ≈ 0.791838 Kilonewton <-- Eccentric load on column

(Calculation completed in 00.004 seconds)

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur

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< 18 Middle Quarter Rule For Circular Section Calculators

Eccentricity of Load given Minimum Bending Stress

Go Eccentricity of Loading = (((4*Eccentric load on column)/(pi*(Diameter^2)))-Minimum Bending Stress)*((pi*(Diameter^3))/(32*Eccentric load on column))

Minimum Bending Stress given Eccentric Load

Go Minimum Bending Stress = ((4*Eccentric load on column)/(pi*(Diameter^2)))*(1-((8*Eccentricity of Loading)/Diameter))

Eccentric Load given Minimum Bending Stress

Go Eccentric load on column = (Minimum Bending Stress*(pi*(Diameter^2)))*(1-((8*Eccentricity of Loading)/Diameter))/4

Eccentricity of Load given Maximum Bending Stress

Go Eccentricity of Loading = (Maximum Bending Moment*(pi*(Diameter^3)))/(32*Eccentric load on column)

Eccentric Load given maximum Bending Stress

Go Eccentric load on column = (Maximum Bending Moment*(pi*(Diameter^3)))/(32*Eccentricity of Loading)

Maximum Bending Stress given Eccentric Load

Go Maximum bending stress = (32*Eccentric load on column*Eccentricity of Loading)/(pi*(Diameter^3))

Maximum Bending Stress for Circular Section given Moment of Load

Go Maximum bending stress = (Moment due to eccentric load*Diameter of Circular section)/(2*MOI of Area of Circular Section)

Moment of Load given Maximum Bending Stress for Circular Section

Go Moment due to eccentric load = (Bending Stress in Column*(2*MOI of Area of Circular Section))/Diameter

Diameter of Circular Section given Maximum Bending Stress

Go Diameter = (Bending Stress in Column*(2*MOI of Area of Circular Section))/Moment due to eccentric load

Moment of Inertia of Circular Section given Maximum Bending Stress for Circular Section

Go MOI of Area of Circular Section = (Moment due to eccentric load*Diameter)/(2*Maximum bending stress)

Diameter of Circular Section given Direct Stress

Go Diameter = sqrt((4*Eccentric load on column)/(pi*Direct Stress))

Direct stress for circular section

Go Direct Stress = (4*Eccentric load on column)/(pi*(Diameter^2))

Eccentric load for given direct stress for circular section

Go Eccentric load on column = (Direct Stress*pi*(Diameter^2))/4

Minimum Bending Stress given Direct and Bending Stress

Go Minimum Bending Stress = Direct Stress-Bending Stress in Column

Condition for Maximum Bending Stress given Diameter

Go Diameter = 2*Distance from Neutral Layer

Condition for maximum bending stress

Go Distance from Neutral Layer = Diameter/2

Diameter of circular section if maximum value of eccentricity is known(for no tensile stress case)

Go Diameter = 8*Eccentricity of Loading

Maximum value of eccentricity for no tensile stress

Go Eccentricity of Loading = Diameter/8

Eccentric load for given direct stress for circular section Formula

Eccentric load on column = (Direct Stress*pi*(Diameter^2))/4
P = (σ*pi*(d^2))/4

What is shear stress and strain?

Shear strain is the deformation of an object or medium under shear stress. The shear modulus is the elastic modulus in this case. Shear stress is caused by forces acting along the object's two parallel surfaces.

How to Calculate Eccentric load for given direct stress for circular section?

Eccentric load for given direct stress for circular section calculator uses Eccentric load on column = (Direct Stress*pi*(Diameter^2))/4 to calculate the Eccentric load on column, The Eccentric load for given direct stress for circular section formula is defined as the load on a column or pile which is non-symmetric 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 for given direct stress for circular section using this online calculator? To use this online calculator for Eccentric load for given direct stress for circular section, enter Direct Stress (σ) & Diameter (d) and hit the calculate button. Here is how the Eccentric load for given direct stress for circular section calculation can be explained with given input values -> 0.000792 = (50000*pi*(0.142^2))/4.

FAQ

What is Eccentric load for given direct stress for circular section?

The Eccentric load for given direct stress for circular section formula is defined as the load on a column or pile which is non-symmetric with respect to the central axis, therefore producing a bending moment and is represented as P = (σ*pi*(d^2))/4 or Eccentric load on column = (Direct Stress*pi*(Diameter^2))/4. Direct Stress is defined as axial thrust acting per unit area & Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.

How to calculate Eccentric load for given direct stress for circular section?

The Eccentric load for given direct stress for circular section formula is defined as the load on a column or pile which is non-symmetric with respect to the central axis, therefore producing a bending moment is calculated using Eccentric load on column = (Direct Stress*pi*(Diameter^2))/4. To calculate Eccentric load for given direct stress for circular section, you need Direct Stress (σ) & Diameter (d). With our tool, you need to enter the respective value for Direct Stress & Diameter 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 Eccentric load on column?

In this formula, Eccentric load on column uses Direct Stress & Diameter. We can use 2 other way(s) to calculate the same, which is/are as follows -

Eccentric load on column = (Minimum Bending Stress*(pi*(Diameter^2)))*(1-((8*Eccentricity of Loading)/Diameter))/4
Eccentric load on column = (Maximum Bending Moment*(pi*(Diameter^3)))/(32*Eccentricity of Loading)

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