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Strength of Materials
Area Moment of Inertia in Strength of Materials Formulas
Area Moment of Inertia is a moment about the centroidal axis without considering mass. 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
f
x
Moment of Inertia using Strain Energy
Go
f
x
Moment of Inertia given Deflection in Leaf Spring
Go
Strength of Materials formulas that make use of Area Moment of Inertia
f
x
Strain Energy in Bending
Go
f
x
Bending Moment using Strain Energy
Go
f
x
Length over which Deformation takes place using Strain Energy
Go
f
x
Modulus of Elasticity with given Strain Energy
Go
f
x
Strain Energy for Pure Bending when Beam rotates in One End
Go
f
x
Deflection in Leaf Spring given Moment
Go
f
x
Moment given Deflection in Leaf Spring
Go
f
x
Length given Deflection in Leaf Spring
Go
f
x
Modulus of Elasticity given Deflection in Leaf Spring and Moment
Go
f
x
Deflection at Any Point on Cantilever Beam carrying UDL
Go
f
x
Deflection at Any Point on Cantilever Beam carrying Couple Moment at Free End
Go
f
x
Deflection of Cantilever Beam carrying Point Load at Any Point
Go
f
x
Maximum Deflection of Cantilever Beam carrying Point Load at Free End
Go
f
x
Maximum Deflection of Cantilever Beam carrying UDL
Go
f
x
Maximum Deflection of Cantilever Beam carrying UVL with Maximum Intensity at Support
Go
f
x
Maximum Deflection of Cantilever Beam Carrying UVL with Maximum Intensity at Free End
Go
f
x
Maximum Deflection of Cantilever Beam with Couple Moment at Free End
Go
f
x
Slope at Free End of Cantilever Beam carrying UDL
Go
f
x
Slope at Free End of Cantilever Beam Carrying Concentrated Load at Any Point from Fixed End
Go
f
x
Slope at Free End of Cantilever Beam Carrying Concentrated Load at Free End
Go
f
x
Slope at Free End of Cantilever Beam Carrying Couple at Free End
Go
f
x
Slope at Free End of Cantilever Beam Carrying UVL with Maximum Intensity at Fixed End
Go
f
x
Center Deflection of Simply Supported Beam carrying Couple Moment at Right End
Go
f
x
Center Deflection on Simply Supported Beam carrying UVL with Maximum Intensity at Right support
Go
f
x
Deflection at Any Point on Simply Supported carrying Couple Moment at Right End
Go
f
x
Deflection at Any Point on Simply Supported Beam carrying UDL
Go
f
x
Maximum and Center Deflection of Simply Supported Beam carrying Point Load at Center
Go
f
x
Maximum and Center Deflection of Simply Supported Beam carrying UDL over its Entire Length
Go
f
x
Maximum Deflection of Simply Supported Beam carrying Couple Moment at Right End
Go
f
x
Maximum Deflection of Simply Supported Beam carrying Triangular Load with Max Intensity at Center
Go
f
x
Maximum Deflection on Simply Supported Beam carrying UVL Max Intensity at Right Support
Go
f
x
Slope at Free Ends of Simply Supported Beam carrying UDL
Go
f
x
Slope at Free Ends of Simply Supported Beam carrying Concentrated Load at Center
Go
f
x
Slope at Left End of Simply Supported Beam carrying Couple at Right End
Go
f
x
Slope at Left End of Simply Supported Beam carrying UVL with Maximum Intensity at Right End
Go
f
x
Slope at Right End of Simply Supported Beam carrying Couple at Right End
Go
f
x
Slope at Right End of Simply Supported Beam carrying UVL with Maximum Intensity at Right End
Go
List of variables in Strength of Materials formulas
f
x
Length of Member
Go
f
x
Bending Moment
Go
f
x
Strain Energy
Go
f
x
Young's Modulus
Go
f
x
Length in Spring
Go
f
x
Deflection of Spring
Go
FAQ
What is the Area Moment of Inertia?
Area Moment of Inertia is a moment about the centroidal axis without considering mass. 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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