Eccentric 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%
✖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%

✖Eccentric Load on Column is the load that causes direct stress as well as bending stress.ⓘ Eccentric Load given Maximum Bending Stress [P]

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Eccentric Load given Maximum Bending Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Eccentric Load on Column = (Maximum Bending Moment*(pi*(Diameter^3)))/(32*Eccentricity of Loading)
P = (M_max*(pi*(d^3)))/(32*e_load)
This formula uses 1 Constants, 4 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.
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.
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

Maximum Bending Moment: 10.01 Newton Meter --> 10.01 Newton Meter No Conversion Required
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

P = (M_max*(pi*(d^3)))/(32*e_load) --> (10.01*(pi*(0.142^3)))/(32*4.02E-07)

Evaluating ... ...

P = 6999.59563934835

STEP 3: Convert Result to Output's Unit

6999.59563934835 Newton -->6.99959563934835 Kilonewton (Check conversion here)

FINAL ANSWER

6.99959563934835 ≈ 6.999596 Kilonewton <-- Eccentric Load on Column

(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

Eccentric Load given Maximum Bending Stress Formula

LaTeX Go

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

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 given Maximum Bending Stress?

Eccentric Load given Maximum Bending Stress calculator uses Eccentric Load on Column = (Maximum Bending Moment*(pi*(Diameter^3)))/(32*Eccentricity of Loading) to calculate the Eccentric Load on Column, The Eccentric Load given Maximum Bending Stress formula is defined as a measure of the load applied at a certain distance from the axis of rotation, which causes bending stress in a material, and is used to determine the maximum stress a material can withstand without deforming or breaking. Eccentric Load on Column is denoted by P symbol.

How to calculate Eccentric Load given Maximum Bending Stress using this online calculator? To use this online calculator for Eccentric Load given Maximum Bending Stress, enter Maximum Bending Moment (M_max), Diameter (d) & Eccentricity of Loading (e_load) and hit the calculate button. Here is how the Eccentric Load given Maximum Bending Stress calculation can be explained with given input values -> 1.2E-6 = (10.01*(pi*(0.142^3)))/(32*4.02E-07).

FAQ

What is Eccentric Load given Maximum Bending Stress?

The Eccentric Load given Maximum Bending Stress formula is defined as a measure of the load applied at a certain distance from the axis of rotation, which causes bending stress in a material, and is used to determine the maximum stress a material can withstand without deforming or breaking and is represented as P = (M_max*(pi*(d^3)))/(32*e_load) or Eccentric Load on Column = (Maximum Bending Moment*(pi*(Diameter^3)))/(32*Eccentricity of Loading). 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 & 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 Maximum Bending Stress?

The Eccentric Load given Maximum Bending Stress formula is defined as a measure of the load applied at a certain distance from the axis of rotation, which causes bending stress in a material, and is used to determine the maximum stress a material can withstand without deforming or breaking is calculated using Eccentric Load on Column = (Maximum Bending Moment*(pi*(Diameter^3)))/(32*Eccentricity of Loading). To calculate Eccentric Load given Maximum Bending Stress, you need Maximum Bending Moment (M_max), Diameter (d) & Eccentricity of Loading (e_load). With our tool, you need to enter the respective value for Maximum Bending Moment, 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 Eccentric Load on Column?

In this formula, Eccentric Load on Column uses Maximum Bending Moment, Diameter & Eccentricity of Loading. 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 = (Direct Stress*pi*(Diameter^2))/4

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