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

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Eccentricity of Load given Minimum Bending Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Eccentricity of Loading = (((4*Eccentric Load on Column)/(pi*(Diameter^2)))-Minimum Bending Stress)*((pi*(Diameter^3))/(32*Eccentric Load on Column))
e_load = (((4*P)/(pi*(d^2)))-σb^min)*((pi*(d^3))/(32*P))
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

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.
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.
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.

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)
Minimum Bending Stress: 0.402009 Megapascal --> 402009 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

e_load = (((4*P)/(pi*(d^2)))-σb^min)*((pi*(d^3))/(32*P)) --> (((4*7000)/(pi*(0.142^2)))-402009)*((pi*(0.142^3))/(32*7000))

Evaluating ... ...

e_load = 0.00160631542402919

STEP 3: Convert Result to Output's Unit

0.00160631542402919 Meter -->1.60631542402919 Millimeter (Check conversion here)

FINAL ANSWER

1.60631542402919 ≈ 1.606315 Millimeter <-- Eccentricity of Loading

(Calculation completed in 00.020 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

Eccentricity of Load given Minimum Bending Stress Formula

LaTeX Go

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 Eccentricity of Load given Minimum Bending Stress?

Eccentricity of Load given Minimum Bending Stress calculator uses Eccentricity of Loading = (((4*Eccentric Load on Column)/(pi*(Diameter^2)))-Minimum Bending Stress)*((pi*(Diameter^3))/(32*Eccentric Load on Column)) to calculate the Eccentricity of Loading, The Eccentricity of Load given Minimum Bending Stress formula is defined as a measure of the load's deviation from the central axis of a beam, which affects the bending stress and overall structural integrity, providing a critical value for engineers to design and optimize beam structures under various loads. Eccentricity of Loading is denoted by e_load symbol.

How to calculate Eccentricity of Load given Minimum Bending Stress using this online calculator? To use this online calculator for Eccentricity of Load given Minimum Bending Stress, enter Eccentric Load on Column (P), Diameter (d) & Minimum Bending Stress (σb^min) and hit the calculate button. Here is how the Eccentricity of Load given Minimum Bending Stress calculation can be explained with given input values -> 17549.21 = (((4*7000)/(pi*(0.142^2)))-402009)*((pi*(0.142^3))/(32*7000)).

FAQ

What is Eccentricity of Load given Minimum Bending Stress?

The Eccentricity of Load given Minimum Bending Stress formula is defined as a measure of the load's deviation from the central axis of a beam, which affects the bending stress and overall structural integrity, providing a critical value for engineers to design and optimize beam structures under various loads and is represented as e_load = (((4*P)/(pi*(d^2)))-σb^min)*((pi*(d^3))/(32*P)) or Eccentricity of Loading = (((4*Eccentric Load on Column)/(pi*(Diameter^2)))-Minimum Bending Stress)*((pi*(Diameter^3))/(32*Eccentric Load on Column)). 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 & Minimum Bending Stress refers to the lowest amount of stress experienced by a material in response to an applied bending moment.

How to calculate Eccentricity of Load given Minimum Bending Stress?

The Eccentricity of Load given Minimum Bending Stress formula is defined as a measure of the load's deviation from the central axis of a beam, which affects the bending stress and overall structural integrity, providing a critical value for engineers to design and optimize beam structures under various loads is calculated using Eccentricity of Loading = (((4*Eccentric Load on Column)/(pi*(Diameter^2)))-Minimum Bending Stress)*((pi*(Diameter^3))/(32*Eccentric Load on Column)). To calculate Eccentricity of Load given Minimum Bending Stress, you need Eccentric Load on Column (P), Diameter (d) & Minimum Bending Stress (σb^min). With our tool, you need to enter the respective value for Eccentric Load on Column, Diameter & Minimum Bending Stress 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 Eccentric Load on Column, Diameter & Minimum Bending Stress. We can use 2 other way(s) to calculate the same, which is/are as follows -

Eccentricity of Loading = Diameter/8
Eccentricity of Loading = (Maximum Bending Moment*(pi*(Diameter^3)))/(32*Eccentric Load on Column)

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