Eccentricity given Deflection in Eccentric Loading Solution

STEP 0: Pre-Calculation Summary
Formula Used
Eccentricity of Load = (pi*(1-Axial Load/Critical Buckling Load))*Deflection in Eccentric Loading/(4*Axial Load/Critical Buckling Load)
eload = (pi*(1-P/Pc))*δ/(4*P/Pc)
This formula uses 1 Constants, 4 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Eccentricity of Load - (Measured in Millimeter) - Eccentricity of Load is the distance from the center of gravity of the column section to the center of gravity of the applied load.
Axial Load - (Measured in Kilonewton) - Axial Load is defined as applying a force on a structure directly along an axis of the structure.
Critical Buckling Load - (Measured in Kilonewton) - Critical Buckling Load is defined as the greatest load that will not cause lateral deflection.
Deflection in Eccentric Loading - (Measured in Millimeter) - Deflection in Eccentric Loading the degree to which a structural element is displaced under a load (due to its deformation).
STEP 1: Convert Input(s) to Base Unit
Axial Load: 9.99 Kilonewton --> 9.99 Kilonewton No Conversion Required
Critical Buckling Load: 53 Kilonewton --> 53 Kilonewton No Conversion Required
Deflection in Eccentric Loading: 0.7 Millimeter --> 0.7 Millimeter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
eload = (pi*(1-P/Pc))*δ/(4*P/Pc) --> (pi*(1-9.99/53))*0.7/(4*9.99/53)
Evaluating ... ...
eload = 2.36696521575645
STEP 3: Convert Result to Output's Unit
0.00236696521575645 Meter -->2.36696521575645 Millimeter (Check conversion here)
FINAL ANSWER
2.36696521575645 2.366965 Millimeter <-- Eccentricity of Load
(Calculation completed in 00.004 seconds)

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18 Eccentric Loading Calculators

Cross-Sectional Area given Total Stress is where Load doesn't lie on Plane
Go Cross-Sectional Area = Axial Load/(Total Stress-(((Eccentricity with respect to Principal Axis YY*Axial Load*Distance from YY to Outermost Fiber)/(Moment of Inertia about Y-Axis))+((Eccentricity with respect to Principal Axis XX*Axial Load*Distance from XX to Outermost Fiber)/(Moment of Inertia about X-Axis))))
Distance from YY to outermost fiber given Total Stress where Load doesn't lie on Plane
Go Distance from YY to Outermost Fiber = (Total Stress-((Axial Load/Cross-Sectional Area)+((Eccentricity with respect to Principal Axis XX*Axial Load*Distance from XX to Outermost Fiber)/(Moment of Inertia about X-Axis))))*Moment of Inertia about Y-Axis/(Eccentricity with respect to Principal Axis YY*Axial Load)
Distance from XX to outermost fiber given Total Stress where Load doesn't lie on Plane
Go Distance from XX to Outermost Fiber = ((Total Stress-(Axial Load/Cross-Sectional Area)-((Eccentricity with respect to Principal Axis YY*Axial Load*Distance from YY to Outermost Fiber)/(Moment of Inertia about Y-Axis)))*Moment of Inertia about X-Axis)/(Axial Load*Eccentricity with respect to Principal Axis XX)
Eccentricity w.r.t axis XX given Total Stress where Load doesn't lie on Plane
Go Eccentricity with respect to Principal Axis XX = ((Total Stress-(Axial Load/Cross-Sectional Area)-((Eccentricity with respect to Principal Axis YY*Axial Load*Distance from YY to Outermost Fiber)/(Moment of Inertia about Y-Axis)))*Moment of Inertia about X-Axis)/(Axial Load*Distance from XX to Outermost Fiber)
Total Stress in Eccentric Loading when Load doesn't lie on Plane
Go Total Stress = (Axial Load/Cross-Sectional Area)+((Eccentricity with respect to Principal Axis YY*Axial Load*Distance from YY to Outermost Fiber)/(Moment of Inertia about Y-Axis))+((Eccentricity with respect to Principal Axis XX*Axial Load*Distance from XX to Outermost Fiber)/(Moment of Inertia about X-Axis))
Moment of Inertia about XX given Total Stress where Load doesn't lie on Plane
Go Moment of Inertia about X-Axis = (Eccentricity with respect to Principal Axis XX*Axial Load*Distance from XX to Outermost Fiber)/(Total Stress-((Axial Load/Cross-Sectional Area)+((Eccentricity with respect to Principal Axis YY*Axial Load*Distance from YY to Outermost Fiber)/Moment of Inertia about Y-Axis)))
Moment of Inertia about YY given Total Stress where Load doesn't lie on Plane
Go Moment of Inertia about Y-Axis = (Eccentricity with respect to Principal Axis YY*Axial Load*Distance from YY to Outermost Fiber)/(Total Stress-((Axial Load/Cross-Sectional Area)+((Eccentricity with respect to Principal Axis XX*Axial Load*Distance from XX to Outermost Fiber)/Moment of Inertia about X-Axis)))
Eccentricity wrt axis YY given Total Stress where Load doesn't lie on Plane
Go Eccentricity with respect to Principal Axis YY = ((Total Stress-(Axial Load/Cross-Sectional Area)-(Eccentricity with respect to Principal Axis XX*Axial Load*Distance from XX to Outermost Fiber)/(Moment of Inertia about X-Axis))*Moment of Inertia about Y-Axis)/(Axial Load*Distance from YY to Outermost Fiber)
Moment of Inertia of Cross-Section given Total Unit Stress in Eccentric Loading
Go Moment of Inertia about Neutral Axis = (Axial Load*Outermost Fiber Distance*Distance from Load applied)/(Total Unit Stress-(Axial Load/Cross-Sectional Area))
Cross-Sectional Area given Total Unit Stress in Eccentric Loading
Go Cross-Sectional Area = Axial Load/(Total Unit Stress-((Axial Load*Outermost Fiber Distance*Distance from Load applied/Moment of Inertia about Neutral Axis)))
Total Unit Stress in Eccentric Loading
Go Total Unit Stress = (Axial Load/Cross-Sectional Area)+(Axial Load*Outermost Fiber Distance*Distance from Load applied/Moment of Inertia about Neutral Axis)
Critical Buckling Load given Deflection in Eccentric Loading
Go Critical Buckling Load = (Axial Load*(4*Eccentricity of Load+pi*Deflection in Eccentric Loading))/(Deflection in Eccentric Loading*pi)
Eccentricity given Deflection in Eccentric Loading
Go Eccentricity of Load = (pi*(1-Axial Load/Critical Buckling Load))*Deflection in Eccentric Loading/(4*Axial Load/Critical Buckling Load)
Deflection in Eccentric Loading
Go Deflection in Eccentric Loading = (4*Eccentricity of Load*Axial Load/Critical Buckling Load)/(pi*(1-Axial Load/Critical Buckling Load))
Load for Deflection in Eccentric Loading
Go Axial Load = (Critical Buckling Load*Deflection in Eccentric Loading*pi)/(4*Eccentricity of Load+pi*Deflection in Eccentric Loading)
Radius of Gyration in Eccentric Loading
Go Radius of Gyration = sqrt(Moment of Inertia/Cross-Sectional Area)
Cross-Sectional Area given Radius of Gyration in Eccentric Loading
Go Cross-Sectional Area = Moment of Inertia/(Radius of Gyration^2)
Moment of Inertia given Radius of Gyration in Eccentric Loading
Go Moment of Inertia = (Radius of Gyration^2)*Cross-Sectional Area

Eccentricity given Deflection in Eccentric Loading Formula

Eccentricity of Load = (pi*(1-Axial Load/Critical Buckling Load))*Deflection in Eccentric Loading/(4*Axial Load/Critical Buckling Load)
eload = (pi*(1-P/Pc))*δ/(4*P/Pc)

Define Eccentric loading

When the load acting on the column is offset from the centroid of the column, then it establishes the bending of column along with the axial stress. This offset loading of the column is referred as eccentric loading.

How to Calculate Eccentricity given Deflection in Eccentric Loading?

Eccentricity given Deflection in Eccentric Loading calculator uses Eccentricity of Load = (pi*(1-Axial Load/Critical Buckling Load))*Deflection in Eccentric Loading/(4*Axial Load/Critical Buckling Load) to calculate the Eccentricity of Load, The Eccentricity given Deflection in Eccentric Loading formula is defined as the distance in between the Neutral Axis and Outermost Fiber. Eccentricity of Load is denoted by eload symbol.

How to calculate Eccentricity given Deflection in Eccentric Loading using this online calculator? To use this online calculator for Eccentricity given Deflection in Eccentric Loading, enter Axial Load (P), Critical Buckling Load (Pc) & Deflection in Eccentric Loading (δ) and hit the calculate button. Here is how the Eccentricity given Deflection in Eccentric Loading calculation can be explained with given input values -> 845.3447 = (pi*(1-9990/53000))*0.0007/(4*9990/53000).

FAQ

What is Eccentricity given Deflection in Eccentric Loading?
The Eccentricity given Deflection in Eccentric Loading formula is defined as the distance in between the Neutral Axis and Outermost Fiber and is represented as eload = (pi*(1-P/Pc))*δ/(4*P/Pc) or Eccentricity of Load = (pi*(1-Axial Load/Critical Buckling Load))*Deflection in Eccentric Loading/(4*Axial Load/Critical Buckling Load). Axial Load is defined as applying a force on a structure directly along an axis of the structure, Critical Buckling Load is defined as the greatest load that will not cause lateral deflection & Deflection in Eccentric Loading the degree to which a structural element is displaced under a load (due to its deformation).
How to calculate Eccentricity given Deflection in Eccentric Loading?
The Eccentricity given Deflection in Eccentric Loading formula is defined as the distance in between the Neutral Axis and Outermost Fiber is calculated using Eccentricity of Load = (pi*(1-Axial Load/Critical Buckling Load))*Deflection in Eccentric Loading/(4*Axial Load/Critical Buckling Load). To calculate Eccentricity given Deflection in Eccentric Loading, you need Axial Load (P), Critical Buckling Load (Pc) & Deflection in Eccentric Loading (δ). With our tool, you need to enter the respective value for Axial Load, Critical Buckling Load & Deflection in Eccentric Loading and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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