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  2. Volume and displacement indicators for an architectural ...

    en.wikipedia.org/wiki/Volume_and_displacement...

    The volume of the material of the structure, as determined using W, can only be obtained accurately if the theoretical values of the relevant characteristic of the sections under strain σ can be measured in practice. As shown in Figure 1 above, this characteristic is: Ω for an element under pure compression without buckling ;

  3. Surface-area-to-volume ratio - Wikipedia

    en.wikipedia.org/wiki/Surface-area-to-volume_ratio

    The surface-area-to-volume ratio has physical dimension inverse length (L −1) and is therefore expressed in units of inverse metre (m −1) or its prefixed unit multiples and submultiples. As an example, a cube with sides of length 1 cm will have a surface area of 6 cm 2 and a volume of 1 cm 3. The surface to volume ratio for this cube is thus

  4. Form (architecture) - Wikipedia

    en.wikipedia.org/wiki/Form_(architecture)

    Space and mass (also Mass and volume [8]) are the primary ingredients that an architect uses to compose an architectural form. The essence of a building is the separation between the finite indoor space fit for humans and unrestricted natural environment outdoors.

  5. Density - Wikipedia

    en.wikipedia.org/wiki/Density

    Mathematically, density is defined as mass divided by volume: [1] =, where ρ is the density, m is the mass, and V is the volume. In some cases (for instance, in the United States oil and gas industry), density is loosely defined as its weight per unit volume , [ 2 ] although this is scientifically inaccurate – this quantity is more ...

  6. Massing - Wikipedia

    en.wikipedia.org/wiki/Massing

    [1] [3] Massing influences the sense of space which the building encloses, and helps to define both the interior space and the exterior shape of the building. [1] The creation of massing, and changes to it, may be additive (accumulating or repeating masses) or subtractive (creating spaces or voids in a mass by removing parts of it). [ 4 ]

  7. Fiber volume ratio - Wikipedia

    en.wikipedia.org/wiki/Fiber_volume_ratio

    Fiber volume ratio is an important mathematical element in composite engineering. Fiber volume ratio, or fiber volume fraction, is the percentage of fiber volume in the entire volume of a fiber-reinforced composite material. [1] When manufacturing polymer composites, fibers are impregnated with resin.

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  9. Cavalieri's principle - Wikipedia

    en.wikipedia.org/wiki/Cavalieri's_principle

    The volume ratio is maintained when the height is scaled to h' = r √ π. 3. Decompose it into thin slices. 4. Using Cavalieri's principle, reshape each slice into a square of the same area. 5. The pyramid is replicated twice. 6. Combining them into a cube shows that the volume ratio is 1:3.