Moment of Inertia given Radius of Gyration in Eccentric Loading Calculator

✖The radius of gyration or gyradius is defined as the radial distance to a point that would have a moment of inertia the same as the body's actual distribution of mass.ⓘ Radius of Gyration [k_G]			+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 is the measure of the resistance of a body to angular acceleration about a given axis.ⓘ Moment of Inertia given Radius of Gyration in Eccentric Loading [I]

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Moment of Inertia given Radius of Gyration in Eccentric Loading Solution

STEP 0: Pre-Calculation Summary

Formula Used

Moment of Inertia = (Radius of Gyration^2)*Cross-Sectional Area
I = (k_G^2)*A_cs
This formula uses 3 Variables

Variables Used

Moment of Inertia - (Measured in Kilogram Square Meter) - Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis.
Radius of Gyration - (Measured in Millimeter) - The radius of gyration or gyradius is defined as the radial distance to a point that would have a moment of inertia the same as the body's actual distribution of mass.
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

Radius of Gyration: 0.29 Millimeter --> 0.29 Millimeter 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 = (k_G^2)*A_cs --> (0.29^2)*13

Evaluating ... ...

I = 1.0933

STEP 3: Convert Result to Output's Unit

1.0933 Kilogram Square Meter --> No Conversion Required

FINAL ANSWER

1.0933 Kilogram Square Meter <-- Moment of Inertia

(Calculation completed in 00.020 seconds)

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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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 given Radius of Gyration in Eccentric Loading Formula

LaTeX Go

Moment of Inertia = (Radius of Gyration^2)*Cross-Sectional Area
I = (k_G^2)*A_cs

Define Moment of Inertia

The moment of inertia, otherwise known as the mass moment of inertia, angular mass, or rotational inertia, of a rigid body, is a quantity that determines the torque needed for a desired angular acceleration about a rotational axis; similar to how mass determines the force needed for the desired acceleration. It depends on the body's mass distribution and the axis chosen, with larger moments requiring more torque to change the body's rate of rotation.

How to Calculate Moment of Inertia given Radius of Gyration in Eccentric Loading?

Moment of Inertia given Radius of Gyration in Eccentric Loading calculator uses Moment of Inertia = (Radius of Gyration^2)*Cross-Sectional Area to calculate the Moment of Inertia, Moment of Inertia given Radius of Gyration in Eccentric Loading formula is a quantity expressing a body's tendency to resist angular acceleration. Moment of Inertia is denoted by I symbol.

How to calculate Moment of Inertia given Radius of Gyration in Eccentric Loading using this online calculator? To use this online calculator for Moment of Inertia given Radius of Gyration in Eccentric Loading, enter Radius of Gyration (k_G) & Cross-Sectional Area (A_cs) and hit the calculate button. Here is how the Moment of Inertia given Radius of Gyration in Eccentric Loading calculation can be explained with given input values -> 117 = (0.00029^2)*13.

FAQ

What is Moment of Inertia given Radius of Gyration in Eccentric Loading?

Moment of Inertia given Radius of Gyration in Eccentric Loading formula is a quantity expressing a body's tendency to resist angular acceleration and is represented as I = (k_G^2)*A_cs or Moment of Inertia = (Radius of Gyration^2)*Cross-Sectional Area. The radius of gyration or gyradius is defined as the radial distance to a point that would have a moment of inertia the same as the body's actual distribution of mass & 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 given Radius of Gyration in Eccentric Loading?

Moment of Inertia given Radius of Gyration in Eccentric Loading formula is a quantity expressing a body's tendency to resist angular acceleration is calculated using Moment of Inertia = (Radius of Gyration^2)*Cross-Sectional Area. To calculate Moment of Inertia given Radius of Gyration in Eccentric Loading, you need Radius of Gyration (k_G) & Cross-Sectional Area (A_cs). With our tool, you need to enter the respective value for Radius of Gyration & 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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