Eccentricity of Load given Maximum Bending Stress Calculator

✖The Maximum Bending Moment is the greatest moment (force applied over a distance) experienced by a structural member, like a beam, when subjected to loading.ⓘ Maximum Bending Moment [M_max]			+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 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 of Load given Maximum Bending Stress [e_load]

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Eccentricity of Load given Maximum Bending Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Eccentricity of Loading = (Maximum Bending Moment*(pi*(Diameter^3)))/(32*Eccentric Load on Column)
e_load = (M_max*(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.
Maximum Bending Moment - (Measured in Newton Meter) - The Maximum Bending Moment is the greatest moment (force applied over a distance) experienced by a structural member, like a beam, when subjected to loading.
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.
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

Maximum Bending Moment: 10.01 Newton Meter --> 10.01 Newton Meter No Conversion Required
Diameter: 142 Millimeter --> 0.142 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 = (M_max*(pi*(d^3)))/(32*P) --> (10.01*(pi*(0.142^3)))/(32*7000)

Evaluating ... ...

e_load = 4.01976778145434E-07

STEP 3: Convert Result to Output's Unit

4.01976778145434E-07 Meter -->0.000401976778145434 Millimeter (Check conversion here)

FINAL ANSWER

0.000401976778145434 ≈ 0.000402 Millimeter <-- Eccentricity of Loading

(Calculation completed in 00.004 seconds)

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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 Maximum Bending Stress Formula

LaTeX Go

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

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 Maximum Bending Stress?

Eccentricity of Load given Maximum Bending Stress calculator uses Eccentricity of Loading = (Maximum Bending Moment*(pi*(Diameter^3)))/(32*Eccentric Load on Column) to calculate the Eccentricity of Loading, The Eccentricity of Load given Maximum Bending Stress formula is defined as a measure of how much the load is offset from the axis, which affects the bending stress on a beam, and is critical in determining the maximum bending stress a beam can withstand without failing. Eccentricity of Loading is denoted by e_load symbol.

How to calculate Eccentricity of Load given Maximum Bending Stress using this online calculator? To use this online calculator for Eccentricity of Load given Maximum Bending Stress, enter Maximum Bending Moment (M_max), Diameter (d) & Eccentric Load on Column (P) and hit the calculate button. Here is how the Eccentricity of Load given Maximum Bending Stress calculation can be explained with given input values -> 0.401977 = (10.01*(pi*(0.142^3)))/(32*7000).

FAQ

What is Eccentricity of Load given Maximum Bending Stress?

The Eccentricity of Load given Maximum Bending Stress formula is defined as a measure of how much the load is offset from the axis, which affects the bending stress on a beam, and is critical in determining the maximum bending stress a beam can withstand without failing and is represented as e_load = (M_max*(pi*(d^3)))/(32*P) or Eccentricity of Loading = (Maximum Bending Moment*(pi*(Diameter^3)))/(32*Eccentric Load on Column). The Maximum Bending Moment is the greatest moment (force applied over a distance) experienced by a structural member, like a beam, when subjected to loading, Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere & Eccentric Load on Column is the load that causes direct stress as well as bending stress.

How to calculate Eccentricity of Load given Maximum Bending Stress?

The Eccentricity of Load given Maximum Bending Stress formula is defined as a measure of how much the load is offset from the axis, which affects the bending stress on a beam, and is critical in determining the maximum bending stress a beam can withstand without failing is calculated using Eccentricity of Loading = (Maximum Bending Moment*(pi*(Diameter^3)))/(32*Eccentric Load on Column). To calculate Eccentricity of Load given Maximum Bending Stress, you need Maximum Bending Moment (M_max), Diameter (d) & Eccentric Load on Column (P). With our tool, you need to enter the respective value for Maximum Bending Moment, Diameter & 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 Maximum Bending Moment, Diameter & Eccentric Load on Column. We can use 2 other way(s) to calculate the same, which is/are as follows -

Eccentricity of Loading = Diameter/8
Eccentricity of Loading = (((4*Eccentric Load on Column)/(pi*(Diameter^2)))-Minimum Bending Stress)*((pi*(Diameter^3))/(32*Eccentric Load on Column))

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