Load for Deflection in Eccentric Loading Solution

STEP 0: Pre-Calculation Summary
Formula Used
Axial Load = (Critical Buckling Load*Deflection in Eccentric Loading*pi)/(4*Eccentricity of Load+pi*Deflection in Eccentric Loading)
P = (Pc*δ*pi)/(4*eload+pi*δ)
This formula uses 1 Constants, 4 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
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).
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.
STEP 1: Convert Input(s) to Base Unit
Critical Buckling Load: 53 Kilonewton --> 53 Kilonewton No Conversion Required
Deflection in Eccentric Loading: 0.7 Millimeter --> 0.7 Millimeter No Conversion Required
Eccentricity of Load: 2.5 Millimeter --> 2.5 Millimeter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
P = (Pc*δ*pi)/(4*eload+pi*δ) --> (53*0.7*pi)/(4*2.5+pi*0.7)
Evaluating ... ...
P = 9.55422494250899
STEP 3: Convert Result to Output's Unit
9554.22494250899 Newton -->9.55422494250899 Kilonewton (Check conversion here)
FINAL ANSWER
9.55422494250899 9.554225 Kilonewton <-- Axial Load
(Calculation completed in 00.004 seconds)

Credits

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Osmania University (OU), Hyderabad
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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

Load for Deflection in Eccentric Loading Formula

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

Define Eccentric Loading

Axial loading is defined as applying a force on a structure directly along an axis of the structure. If the object is loaded with force, the axial loads act along the object's axis. Alternatively, the axial force is seen as passing through the neutral axis of a considered section, which is normal to the plane of the section.

How to Calculate Load for Deflection in Eccentric Loading?

Load for Deflection in Eccentric Loading calculator uses Axial Load = (Critical Buckling Load*Deflection in Eccentric Loading*pi)/(4*Eccentricity of Load+pi*Deflection in Eccentric Loading) to calculate the Axial Load, The Load for Deflection in Eccentric Loading is defined as applying a force on a structure directly along an axis of the structure. Axial Load is denoted by P symbol.

How to calculate Load for Deflection in Eccentric Loading using this online calculator? To use this online calculator for Load for Deflection in Eccentric Loading, enter Critical Buckling Load (Pc), Deflection in Eccentric Loading (δ) & Eccentricity of Load (eload) and hit the calculate button. Here is how the Load for Deflection in Eccentric Loading calculation can be explained with given input values -> 0.009554 = (53000*0.0007*pi)/(4*0.0025+pi*0.0007).

FAQ

What is Load for Deflection in Eccentric Loading?
The Load for Deflection in Eccentric Loading is defined as applying a force on a structure directly along an axis of the structure and is represented as P = (Pc*δ*pi)/(4*eload+pi*δ) or Axial Load = (Critical Buckling Load*Deflection in Eccentric Loading*pi)/(4*Eccentricity of Load+pi*Deflection in Eccentric Loading). 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) & Eccentricity of Load is the distance from the center of gravity of the column section to the center of gravity of the applied load.
How to calculate Load for Deflection in Eccentric Loading?
The Load for Deflection in Eccentric Loading is defined as applying a force on a structure directly along an axis of the structure is calculated using Axial Load = (Critical Buckling Load*Deflection in Eccentric Loading*pi)/(4*Eccentricity of Load+pi*Deflection in Eccentric Loading). To calculate Load for Deflection in Eccentric Loading, you need Critical Buckling Load (Pc), Deflection in Eccentric Loading (δ) & Eccentricity of Load (eload). With our tool, you need to enter the respective value for Critical Buckling Load, Deflection in Eccentric Loading & Eccentricity of Load 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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