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

✖Axial Load is defined as applying a force on a structure directly along an axis of the structure.ⓘ Axial Load [P]			+10% -10%
✖Outermost Fiber Distance is defined as the distance in between the Neutral Axis and Outermost Fiber.ⓘ Outermost Fiber Distance [c]			+10% -10%
✖Distance from Load applied is defined as the length from which the load is applied.ⓘ Distance from Load applied [e]			+10% -10%
✖Total Unit Stress is defined as the the total force acting on unit area.ⓘ Total Unit Stress [f]			+10% -10%
✖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.ⓘ Cross-Sectional Area [A_cs]			+10% -10%

✖Moment of Inertia about Neutral Axis is defined as the moment of inertia of the beam about its neutral axis.ⓘ Moment of Inertia of Cross-Section given Total Unit Stress in Eccentric Loading [I_neutral]

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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))
I_neutral = (P*c*e)/(f-(P/A_cs))
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

I_neutral = (P*c*e)/(f-(P/A_cs)) --> (9.99*17*11)/(100-(9.99/13))

Evaluating ... ...

I_neutral = 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 00.020 seconds)

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< Eccentric Loading Calculators

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

LaTeX 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

LaTeX 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

LaTeX Go Total Unit Stress = (Axial Load/Cross-Sectional Area)+(Axial Load*Outermost Fiber Distance*Distance from Load applied/Moment of Inertia about Neutral Axis)

Radius of Gyration in Eccentric Loading

LaTeX Go Radius of Gyration = sqrt(Moment of Inertia/Cross-Sectional Area)

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

LaTeX Go

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

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 I_neutral 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 (A_cs) 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 I_neutral = (P*c*e)/(f-(P/A_cs)) 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 (A_cs). 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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