![]() ![]() O-o is the offset horizontal axis for any composite or sub-section V-v is the principal vertical axis for the composite section (through its centre of area)ĥ-5 is the strong/weak axis for the composite section (u-u axis rotated through β)Ħ-6 is the weak/strong axis for the composite section (v-v axis rotated through β) U-u is the principal horizontal axis for the composite section (through its centre of area) Axis ConventionĬalQlata has adopted the following axis convention for Area Moments and this moment of inertia calculator ( Fig 2): Area Momentsġ-1 is the principal horizontal axis for a sub-section (through its centre of area)Ģ-2 is the principal vertical axis for a sub-section (through its centre of area)ģ-3 is the strong/weak axis for a sub-section (x-x axis rotated through θ)Ĥ-4 is the weak/strong axis for a sub-section (y-y axis rotated through θ) Area Moments+ 'o' Fig 2) can be left blank or set to zero. ' α' Fig 2) and relative vertical positions (i.e. In the above example, the only structural properties we are interested in are those with respect to the horizontal axis ('u-u'), so you need only input rotations (i.e. Approximations are shown for sub-sections ❶, ❷ and ❹, all of which would be acceptable for axis 'u-u' but the approximation for sub-section ❹ would not be acceptable for axis 'v-v' because its width will have a significant effect on the final result and this dimension has been significantly altered. The cross-sectional area of the above mentioned interlocking tube could be broken down into convenient shapes making it relatively easy to calculate. If, for example you want to know how much compression the tube will support you can equate the composite section to an equivalent solid pipe wall thickness and use conventional formulas (or CalQlata's HydroLapse calculator) to determine its limiting hydrostatic collapse strength. For example, 'Interlocking tube' ( Fig 1) is used for, amongst other things, flexible pipe compression resistance and has a very complex section. Sub-sections can be approximated if individually they have little effect on your final result. In order to calculate the structural properties of a composite shape, you need to break it down into calculable sub-sections, which you then position and rotate with respect to one or two designated axes ('o-o' & 'r-r' see Axis Convention below). All you have to do is position and rotate each sub-section with respect to one or two axes at right-angles to each other. They must be combined using their moments about specified axes to find their composite structural properties, which is what this moment of inertia calculator does for you. ![]() A composite shape (or section) is a collection of individual sub-sections that together, when specifically positioned and rotated, constitute a complex shape with very different structural properties to the sum of those for each individual sub-section. ![]()
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