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Area Moment of Inertia in Strength of Materials Formulas

Area Moment of Inertia is a property of a two-dimensional plane shape where it shows how its points are dispersed in an arbitrary axis in the cross-sectional plane. And is denoted by I. Area Moment of Inertia is usually measured using the Meter⁴ for Second Moment of Area. Note that the value of Area Moment of Inertia is always positive.

Formulas to find Area Moment of Inertia in Strength of Materials

fxNeutral Axis Moment of Inertia given Maximum Stress for Short Beams​Go
fxMoment of Inertia given Moment of Resistance, Stress induced and Distance from Extreme Fiber​Go
fxMoment of Inertia given Young's Modulus, Moment of Resistance and Radius​Go

Strength of Materials formulas that make use of Area Moment of Inertia

fxMaximum Stress for Short Beams​Go
fxAxial Load given Maximum Stress for Short Beams​Go
fxCross-Sectional Area given Maximum Stress for Short Beams​Go
fxMaximum Bending Moment given Maximum Stress for Short Beams​Go
fxNeutral Axis to Outermost Fiber Distance given Maximum Stress for Short Beams​Go
fxMaximum Stress in Short Beams for Large Deflection​Go
fxMoment of Resistance in Bending Equation​Go
fxStress Induced using Moment of Resistance, Moment of Inertia and Distance from Extreme Fiber​Go
fxDistance from Extreme Fiber given Moment of Resistance and Moment of Inertia along with Stress​Go
fxYoung's Modulus using Moment of Resistance, Moment of Inertia and Radius​Go
fxMoment of Resistance given Young's Modulus, Moment of Inertia and Radius​Go

List of variables in Strength of Materials formulas

fx Maximum Bending Moment ​Go
fx Cross Sectional Area ​Go
fx Distance from Neutral Axis ​Go
fx Maximum Stress ​Go
fx Axial Load ​Go
fx Moment of Resistance ​Go
fx Bending Stress ​Go
fx Radius of Curvature ​Go
fx Young's Modulus ​Go

FAQ

What is the Area Moment of Inertia?
Area Moment of Inertia is a property of a two-dimensional plane shape where it shows how its points are dispersed in an arbitrary axis in the cross-sectional plane. Area Moment of Inertia is usually measured using the Meter⁴ for Second Moment of Area. Note that the value of Area Moment of Inertia is always positive.
Can the Area Moment of Inertia be negative?
No, the Area Moment of Inertia, measured in Second Moment of Area cannot be negative.
What unit is used to measure Area Moment of Inertia?
Area Moment of Inertia is usually measured using the Meter⁴[m⁴] for Second Moment of Area. Centimeter⁴[m⁴], Millimeter⁴[m⁴] are the few other units in which Area Moment of Inertia can be measured.
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