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The roof of this industrial building is supported by a space frame structure. If a force is applied to the blue node and the red bar were not present, the resultant effect on the structure would depend entirely on the blue node's bending rigidity, i.e. to its resistance (or lack thereof) to bending; however, with the red bar in place, then assuming negligible bending rigidity of the blue node ...
A frame is an exact frame if no proper subset of the frame spans the inner product space. Each basis for an inner product space is an exact frame for the space (so a basis is a special case of a frame).
In classical physics and special relativity, an inertial frame of reference (also called an inertial space or a Galilean reference frame) is a frame of reference in which objects exhibit inertia: they remain at rest or in uniform motion relative to the frame until acted upon by external forces. In such a frame, the laws of nature can be ...
For objects in space, the equations of motion that describe orbital motion are simpler in a non-rotating frame such as ECI. The ECI frame is also useful for specifying the direction toward celestial objects: To represent the positions and velocities of terrestrial objects, it is convenient to use ECEF coordinates or latitude, longitude, and ...
The Lorentz-transform calculation above uses a definition of extended-simultaneity (i.e. of when and where events occur at which you were not present) that might be referred to as the co-moving or "tangent free-float-frame" definition. This definition is naturally extrapolated to events in gravitationally-curved spacetimes, and to accelerated ...
A version of the concept of absolute space (in the sense of a preferred frame) can be seen in Aristotelian physics. [1] Robert S. Westman writes that a "whiff" of absolute space can be observed in Copernicus's De revolutionibus orbium coelestium, where Copernicus uses the concept of an immobile sphere of stars. [2]
A space frame truss is a three-dimensional framework of members pinned at their ends. A tetrahedron shape is the simplest space truss, consisting of six members that meet at four joints. [ 14 ] Large planar structures may be composed from tetrahedrons with common edges, and they are also employed in the base structures of large free-standing ...
In astronomy, coordinate systems are used for specifying positions of celestial objects (satellites, planets, stars, galaxies, etc.) relative to a given reference frame, based on physical reference points available to a situated observer (e.g. the true horizon and north to an observer on Earth's surface). [1]