Moment of Inertia of Cross-Section given Total Unit Stress in Eccentric Loading Solution

STEP 0: Pre-Calculation Summary
Formula Used
Moment of Inertia about Neutral Axis = (Axial Load*Outermost Fiber Distance*Distance from Load applied)/(Total Unit Stress-(Axial Load/Cross-Sectional Area))
Ineutral = (P*c*e)/(f-(P/Acs))
This formula uses 6 Variables
Variables Used
Moment of Inertia about Neutral Axis - (Measured in Kilogram Square Meter) - Moment of Inertia about Neutral Axis is defined as the moment of inertia of the beam about its neutral axis.
Axial Load - (Measured in Kilonewton) - Axial Load is defined as applying a force on a structure directly along an axis of the structure.
Outermost Fiber Distance - (Measured in Millimeter) - Outermost Fiber Distance is defined as the distance in between the Neutral Axis and Outermost Fiber.
Distance from Load applied - (Measured in Millimeter) - Distance from Load applied is defined as the length from which the load is applied.
Total Unit Stress - (Measured in Pascal) - Total Unit Stress is defined as the the total force acting on unit area.
Cross-Sectional Area - (Measured in Square Meter) - Cross-Sectional Area is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point.
STEP 1: Convert Input(s) to Base Unit
Axial Load: 9.99 Kilonewton --> 9.99 Kilonewton No Conversion Required
Outermost Fiber Distance: 17 Millimeter --> 17 Millimeter No Conversion Required
Distance from Load applied: 11 Millimeter --> 11 Millimeter No Conversion Required
Total Unit Stress: 100 Pascal --> 100 Pascal No Conversion Required
Cross-Sectional Area: 13 Square Meter --> 13 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ineutral = (P*c*e)/(f-(P/Acs)) --> (9.99*17*11)/(100-(9.99/13))
Evaluating ... ...
Ineutral = 18.8259703413152
STEP 3: Convert Result to Output's Unit
18.8259703413152 Kilogram Square Meter --> No Conversion Required
FINAL ANSWER
18.8259703413152 18.82597 Kilogram Square Meter <-- Moment of Inertia about Neutral Axis
(Calculation completed in 00.019 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

Moment of Inertia of Cross-Section given Total Unit Stress in Eccentric Loading Formula

Moment of Inertia about Neutral Axis = (Axial Load*Outermost Fiber Distance*Distance from Load applied)/(Total Unit Stress-(Axial Load/Cross-Sectional Area))
Ineutral = (P*c*e)/(f-(P/Acs))

Define Moment of Inertia

Moment of inertia, in physics, quantitative measure of the rotational inertia of a body—i.e., the opposition that the body exhibits to having its speed of rotation about an axis altered by the application of torque (turning force).

How to Calculate Moment of Inertia of Cross-Section given Total Unit Stress in Eccentric Loading?

Moment of Inertia of Cross-Section given Total Unit Stress in Eccentric Loading calculator uses Moment of Inertia about Neutral Axis = (Axial Load*Outermost Fiber Distance*Distance from Load applied)/(Total Unit Stress-(Axial Load/Cross-Sectional Area)) to calculate the Moment of Inertia about Neutral Axis, Moment of Inertia of Cross-Section given Total Unit Stress in Eccentric Loading formula is defined as the quantitative measure of the rotational inertia of a body. Moment of Inertia about Neutral Axis is denoted by Ineutral symbol.

How to calculate Moment of Inertia of Cross-Section given Total Unit Stress in Eccentric Loading using this online calculator? To use this online calculator for Moment of Inertia of Cross-Section given Total Unit Stress in Eccentric Loading, enter Axial Load (P), Outermost Fiber Distance (c), Distance from Load applied (e), Total Unit Stress (f) & Cross-Sectional Area (Acs) and hit the calculate button. Here is how the Moment of Inertia of Cross-Section given Total Unit Stress in Eccentric Loading calculation can be explained with given input values -> 1.9E-5 = (9990*0.017*0.011)/(100-(9990/13)).

FAQ

What is Moment of Inertia of Cross-Section given Total Unit Stress in Eccentric Loading?
Moment of Inertia of Cross-Section given Total Unit Stress in Eccentric Loading formula is defined as the quantitative measure of the rotational inertia of a body and is represented as Ineutral = (P*c*e)/(f-(P/Acs)) or Moment of Inertia about Neutral Axis = (Axial Load*Outermost Fiber Distance*Distance from Load applied)/(Total Unit Stress-(Axial Load/Cross-Sectional Area)). Axial Load is defined as applying a force on a structure directly along an axis of the structure, Outermost Fiber Distance is defined as the distance in between the Neutral Axis and Outermost Fiber, Distance from Load applied is defined as the length from which the load is applied, Total Unit Stress is defined as the the total force acting on unit area & Cross-Sectional Area is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point.
How to calculate Moment of Inertia of Cross-Section given Total Unit Stress in Eccentric Loading?
Moment of Inertia of Cross-Section given Total Unit Stress in Eccentric Loading formula is defined as the quantitative measure of the rotational inertia of a body is calculated using Moment of Inertia about Neutral Axis = (Axial Load*Outermost Fiber Distance*Distance from Load applied)/(Total Unit Stress-(Axial Load/Cross-Sectional Area)). To calculate Moment of Inertia of Cross-Section given Total Unit Stress in Eccentric Loading, you need Axial Load (P), Outermost Fiber Distance (c), Distance from Load applied (e), Total Unit Stress (f) & Cross-Sectional Area (Acs). With our tool, you need to enter the respective value for Axial Load, Outermost Fiber Distance, Distance from Load applied, Total Unit Stress & Cross-Sectional Area 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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