Minimum Bending Stress given Eccentric Load Calculator

✖Eccentric Load on Column is the load that causes direct stress as well as bending stress.ⓘ Eccentric Load on Column [P]			+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%
✖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%

✖Minimum Bending Stress refers to the lowest amount of stress experienced by a material in response to an applied bending moment.ⓘ Minimum Bending Stress given Eccentric Load [σb^min]

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Minimum Bending Stress given Eccentric Load Solution

STEP 0: Pre-Calculation Summary

Formula Used

Minimum Bending Stress = ((4*Eccentric Load on Column)/(pi*(Diameter^2)))*(1-((8*Eccentricity of Loading)/Diameter))
σb^min = ((4*P)/(pi*(d^2)))*(1-((8*e_load)/d))
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Minimum Bending Stress - (Measured in Pascal) - Minimum Bending Stress refers to the lowest amount of stress experienced by a material in response to an applied bending moment.
Eccentric Load on Column - (Measured in Newton) - Eccentric Load on Column is the load that causes direct stress as well as bending stress.
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.
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

Eccentric Load on Column: 7 Kilonewton --> 7000 Newton (Check conversion here)
Diameter: 142 Millimeter --> 0.142 Meter (Check conversion here)
Eccentricity of Loading: 0.000402 Millimeter --> 4.02E-07 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σb^min = ((4*P)/(pi*(d^2)))*(1-((8*e_load)/d)) --> ((4*7000)/(pi*(0.142^2)))*(1-((8*4.02E-07)/0.142))

Evaluating ... ...

σb^min = 441999.353295275

STEP 3: Convert Result to Output's Unit

441999.353295275 Pascal -->0.441999353295275 Megapascal (Check conversion here)

FINAL ANSWER

0.441999353295275 ≈ 0.441999 Megapascal <-- Minimum Bending Stress

(Calculation completed in 00.004 seconds)

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National Institute Of Technology (NIT), Hamirpur

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< Middle Quarter Rule for Circular Section Calculators

Eccentricity of Load given Minimum Bending Stress

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

Condition for Maximum Bending Stress given Diameter

LaTeX Go Diameter = 2*Distance from Neutral Layer

Diameter of Circular Section given Maximum Value of Eccentricity

LaTeX Go Diameter = 8*Eccentricity of Loading

Maximum value of Eccentricity for No Tensile Stress

LaTeX Go Eccentricity of Loading = Diameter/8

Minimum Bending Stress given Eccentric Load Formula

LaTeX Go

Minimum Bending Stress = ((4*Eccentric Load on Column)/(pi*(Diameter^2)))*(1-((8*Eccentricity of Loading)/Diameter))
σb^min = ((4*P)/(pi*(d^2)))*(1-((8*e_load)/d))

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 Minimum Bending Stress given Eccentric Load?

Minimum Bending Stress given Eccentric Load calculator uses Minimum Bending Stress = ((4*Eccentric Load on Column)/(pi*(Diameter^2)))*(1-((8*Eccentricity of Loading)/Diameter)) to calculate the Minimum Bending Stress, The Minimum Bending Stress given Eccentric Load formula is defined as a measure of the minimum stress experienced by a material when subjected to an eccentric load, which is a load that does not pass through the centroid of the material's cross-sectional area, causing both compressive and tensile stresses. Minimum Bending Stress is denoted by σb^min symbol.

How to calculate Minimum Bending Stress given Eccentric Load using this online calculator? To use this online calculator for Minimum Bending Stress given Eccentric Load, enter Eccentric Load on Column (P), Diameter (d) & Eccentricity of Loading (e_load) and hit the calculate button. Here is how the Minimum Bending Stress given Eccentric Load calculation can be explained with given input values -> 4.4E-7 = ((4*7000)/(pi*(0.142^2)))*(1-((8*4.02E-07)/0.142)).

FAQ

What is Minimum Bending Stress given Eccentric Load?

The Minimum Bending Stress given Eccentric Load formula is defined as a measure of the minimum stress experienced by a material when subjected to an eccentric load, which is a load that does not pass through the centroid of the material's cross-sectional area, causing both compressive and tensile stresses and is represented as σb^min = ((4*P)/(pi*(d^2)))*(1-((8*e_load)/d)) or Minimum Bending Stress = ((4*Eccentric Load on Column)/(pi*(Diameter^2)))*(1-((8*Eccentricity of Loading)/Diameter)). Eccentric Load on Column is the load that causes direct stress as well as bending stress, Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere & 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 Minimum Bending Stress given Eccentric Load?

The Minimum Bending Stress given Eccentric Load formula is defined as a measure of the minimum stress experienced by a material when subjected to an eccentric load, which is a load that does not pass through the centroid of the material's cross-sectional area, causing both compressive and tensile stresses is calculated using Minimum Bending Stress = ((4*Eccentric Load on Column)/(pi*(Diameter^2)))*(1-((8*Eccentricity of Loading)/Diameter)). To calculate Minimum Bending Stress given Eccentric Load, you need Eccentric Load on Column (P), Diameter (d) & Eccentricity of Loading (e_load). With our tool, you need to enter the respective value for Eccentric Load on Column, Diameter & Eccentricity of Loading 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 Minimum Bending Stress?

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

Minimum Bending Stress = Direct Stress-Bending Stress in Column

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