# Moment of Inertia Calculator - Complex Shapes v1

Price: £38.00 (£38.00 Inc. VAT)

Area Moments+ is a stand-alone calculator that determines the structural properties of complex shapes that you generate internally (within the calculator).
Refer to our Area Moments calculator for a description of the sub-shapes available.

## Subject

The term 'area moment' defines the 2-D structural properties of a 3-D body's cross-section and thereby its ability to resist deformation.

A complex shape is one that cannot be described using basic shapes such as triangles, rectangles, circles, etc. Such shapes may be addressed, however, by constructing them from basic shapes the structural properties of which have themselves been determined. The structural properties of more than one sub-shape cannot simply be added together, they must be combined using their moments.

## Calculator

Area Moments+ calculates the structural properties of a single composite shape constructed from up to 100 sub-shapes that you create within the program and position and/or rotate within the complex construction relative to your designated offset axes.

The sub-shape calculation options are solid or hollow, regular and irregular triangles and quadrilaterals, plus regular polygons, ellipses and sectors (as described in our Area Moments calculator). The image of the complex shape may be zoomed and panned using your mouse wheel (for best fit within the picture window).

The structural properties are provided for each sub-shape along with the complex construction and include: area, second moment of area, polar moment of inertia, centre of area and radius of gyration about its neutral and strong-weak axes.

The output data from Area Moments+ may be used as input to other calculators such as Beams, Engineering Principles, Beams+ and Mode Shapes

For help using this calculator see Technical Help

## Area Moments Calculator for Complex Shapes - Options

Area Moments+allows for up to 100 sub-sections (and five calculation options). In addition to the structural properties for each sub-section modified to the new axes and rotations, the output data for each sub-section (calculation option) includes the calculation results for the composite.

You enter: and this moment of inertia calculator will provide:
• ACW rotation of sub-section [°]
• Distance 'o' to centre of sub-section
• Distance 'r' to centre of sub-section
• dimensions for each sub-shape
as defined in our Area Moments calculator
• Area of composite
• Second moment of area (u-u)
• Second moment of area (v-v)
• Second moment of area (u-v)
• Radius of gyration (u-u)
• Radius of gyration (v-v)
• Second moment of area (3-3)
• Second moment of area (4-4)
• Radius of gyration (3-3)
• Radius of gyration (4-4)
• Rotation of axes (3-3 & 4-4) [°]
• Second moment of area (o-o)
• Second moment of area (r-r)
• Second moment of area (o-r)
• Radius of gyration (o-o)
• Radius of gyration (r-r)
• Second moment of area (5-5)
• Second moment of area (6-6)
• Radius of gyration (5-5)
• Radius of gyration (6-6)
• Rotation of axes (5-5 & 6-6) [°]
• Distance to centre of composite
• Distance to centre of composite
• Second moment of area (u-u) of sub-section
• Second moment of area (v-v) of sub-section
• Second moment of area (u-v) of sub-section
• Radius of gyration (u-u) of sub-section
• Radius of gyration (v-v) of sub-section
• Second moment of area (o-o) of sub-section
• Second moment of area (r-r) of sub-section
• Second moment of area (o-r) of sub-section
• Radius of gyration (o-o) of sub-section
• Radius of gyration (r-r) of sub-section

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