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The relationship between speed and tilt can be calculated mathematically. We start with the formula for a balancing centripetal force: θ is the angle by which the train is tilted due to the cant, r is the curve radius in meters, v is the speed in meters per second, and g is the standard gravity, approximately equal to 9.81 m/s²:
A dog-leg staircase A quarter-landing, on a dog-leg staircase, is made into an architectural feature, by the use of arches, vaulting and stained glass. A dog-leg is a configuration of stairs between two floors of a building, often a domestic building, in which a flight of stairs ascends to a quarter-landing before turning at a right angle and continuing upwards. [1]
Since rail routes have very large radii, they are laid out in chords, as the difference to the arc is inconsequential; this made work easier before electronic calculators became available. The 100 feet (30.48 m) is called a station, used to define length along a road or other alignment, annotated as stations plus feet 1+00, 2+00, etc. Metric ...
A "squared helical" stair fills a square stairwell and expands the steps and railing to a square, resulting in unequal steps (wider and longer where they extend into a corner of the square). A "pure helix" fills a circular stairwell, and has multiple steps and handrail elements which are identical and positioned screw-symmetrically.
A handrail is a rail that is designed to be grasped by the hand so as to provide safety or support. [1] In Britain , handrails are referred to as banisters . Handrails are commonly used while ascending or descending stairways and escalators in order to prevent injurious falls, and to provide bodily support in bathrooms or similar areas.
It may be quantified in terms of an angle (angular displacement) or a distance (linear displacement). A longitudinal deformation (in the direction of the axis) is called elongation . The deflection distance of a member under a load can be calculated by integrating the function that mathematically describes the slope of the deflected shape of ...