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Eccentric Load on Column is the load that causes direct stress as well as bending stress. Check FAQs
P=Mmax(π(d3))32eload
P - Eccentric Load on Column?Mmax - Maximum Bending Moment?d - Diameter?eload - Eccentricity of Loading?π - Archimedes' constant?

Eccentric Load given Maximum Bending Stress Example

With values
With units
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Here is how the Eccentric Load given Maximum Bending Stress equation looks like with Values.

Here is how the Eccentric Load given Maximum Bending Stress equation looks like with Units.

Here is how the Eccentric Load given Maximum Bending Stress equation looks like.

6.9996Edit=10.01Edit(3.1416(142Edit3))320.0004Edit
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Eccentric Load given Maximum Bending Stress Solution

Follow our step by step solution on how to calculate Eccentric Load given Maximum Bending Stress?

FIRST Step Consider the formula
P=Mmax(π(d3))32eload
Next Step Substitute values of Variables
P=10.01N*m(π(142mm3))320.0004mm
Next Step Substitute values of Constants
P=10.01N*m(3.1416(142mm3))320.0004mm
Next Step Convert Units
P=10.01N*m(3.1416(0.142m3))324E-7m
Next Step Prepare to Evaluate
P=10.01(3.1416(0.1423))324E-7
Next Step Evaluate
P=6999.59563934835N
Next Step Convert to Output's Unit
P=6.99959563934835kN
LAST Step Rounding Answer
P=6.9996kN

Eccentric Load given Maximum Bending Stress Formula Elements

Variables
Constants
Eccentric Load on Column
Eccentric Load on Column is the load that causes direct stress as well as bending stress.
Symbol: P
Measurement: ForceUnit: kN
Note: Value should be greater than 0.
Maximum Bending Moment
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.
Symbol: Mmax
Measurement: Moment of ForceUnit: N*m
Note: Value should be greater than 0.
Diameter
Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.
Symbol: d
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
Eccentricity of Loading
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.
Symbol: eload
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
Archimedes' constant
Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.
Symbol: π
Value: 3.14159265358979323846264338327950288

Other Formulas to find Eccentric Load on Column

​Go Eccentric Load given Minimum Bending Stress
P=(σbmin(π(d2)))1-(8eloadd)4
​Go Eccentric Load for given Direct Stress for Circular Section
P=σπ(d2)4

Other formulas in Middle Quarter Rule for Circular Section category

​Go Diameter of Circular Section given Maximum Value of Eccentricity
d=8eload
​Go Maximum value of Eccentricity for No Tensile Stress
eload=d8
​Go Condition for Maximum Bending Stress given Diameter
d=2dnl
​Go Eccentricity of Load given Minimum Bending Stress
eload=((4Pπ(d2))-σbmin)(π(d3)32P)

How to Evaluate Eccentric Load given Maximum Bending Stress?

Eccentric Load given Maximum Bending Stress evaluator uses Eccentric Load on Column = (Maximum Bending Moment*(pi*(Diameter^3)))/(32*Eccentricity of Loading) to evaluate 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 evaluate Eccentric Load given Maximum Bending Stress using this online evaluator? To use this online evaluator for Eccentric Load given Maximum Bending Stress, enter Maximum Bending Moment (Mmax), Diameter (d) & Eccentricity of Loading (eload) and hit the calculate button.

FAQs on Eccentric Load given Maximum Bending Stress

What is the formula to find Eccentric Load given Maximum Bending Stress?
The formula of Eccentric Load given Maximum Bending Stress is expressed as Eccentric Load on Column = (Maximum Bending Moment*(pi*(Diameter^3)))/(32*Eccentricity of Loading). Here is an example- 1.2E-6 = (10.01*(pi*(0.142^3)))/(32*4.02E-07).
How to calculate Eccentric Load given Maximum Bending Stress?
With Maximum Bending Moment (Mmax), Diameter (d) & Eccentricity of Loading (eload) we can find Eccentric Load given Maximum Bending Stress using the formula - Eccentric Load on Column = (Maximum Bending Moment*(pi*(Diameter^3)))/(32*Eccentricity of Loading). This formula also uses Archimedes' constant .
What are the other ways to Calculate Eccentric Load on Column?
Here are the different ways to Calculate Eccentric Load on Column-
  • Eccentric Load on Column=(Minimum Bending Stress*(pi*(Diameter^2)))*(1-((8*Eccentricity of Loading)/Diameter))/4OpenImg
  • Eccentric Load on Column=(Direct Stress*pi*(Diameter^2))/4OpenImg
Can the Eccentric Load given Maximum Bending Stress be negative?
No, the Eccentric Load given Maximum Bending Stress, measured in Force cannot be negative.
Which unit is used to measure Eccentric Load given Maximum Bending Stress?
Eccentric Load given Maximum Bending Stress is usually measured using the Kilonewton[kN] for Force. Newton[kN], Exanewton[kN], Meganewton[kN] are the few other units in which Eccentric Load given Maximum Bending Stress can be measured.
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