Catenary in a sentence

A ring is called universally catenary if any finitely generated algebra over it is catenary.

Catenary of equal strength In a catenary of equal strength, cable is strengthened according to the magnitude of the tension at each point, so its resistance to breaking is constant along its length.

From 2024 onwards, this will spearhead new contract opportunities to supply track, power, overhead catenary, telecoms, signalling, mechanical and electrical fit-out.

Every time a Metro-North train pulls down old catenary (overhead power lines), commuters scream “Where are the replacement buses?” as if a fleet of buses is kept on permanent standby waiting for such strandings.

A Feb. 22 report drew attention to the installation of the overhead catenary system after visual inspections revealed there were improper connections between anchor rods and concrete piers.

Also, the geometric centroid of the area under a stretch of catenary is the midpoint of the perpendicular segment connecting the centroid of the curve itself and the x-axis.

Another roulette, formed by rolling a line on a catenary, is another line.

Both the parabolic and catenary arches are now known to be the theoretically strongest forms.

Diagram of forces acting on a segment of a catenary from c to r. The forces are the tension T 0 at c, the tension T at r, and the weight of the chain (0, −λgs).

Electrical transmission for this service was by means of an overhead catenary system using direct current, which Edison had championed.

High Speed 1, the tunnel and the LGV Nord all have power provided via overhead catenary at 25 kV 50 Hz.

I have not yet had time to engage in it; but I find that the conclusions of his demonstrations are, that every part of the catenary is in perfect equilibrium.

In Berlin and Hamburg the S-Bahn has an U-Bahn -like service and uses a third rail whereas all other S-Bahn services rely on regular catenary power supply.

It contains a series of sixty catenary arches that creates a space which represents the ribcage of an animal.

Lockwood p. 122 citation Comparison of a catenary arch (black dotted curve) and a parabolic arch (red solid curve) with the same span and sag.

Loft The loft, originally a service area, has sixty catenary arches The loft is considered to be one of the most unusual spaces.

More details The catenary represents the profile of a simple suspension bridge, or the cable of a suspended-deck suspension bridge on which its deck and hangers have negligible mass compared to its cable.

Most suspension bridge cables follow a parabolic, not a catenary curve, due to the weight of the roadway being much greater than that of the cable.

Persisting in trying to explain the errors Hobbes had fallen into, he made an international reputation. citation The catenary in a manuscript of Huygens.

Routh Art. 489 In the catenary the value of T is variable, but ratio remains valid at a local level, so Routh Art. 494 : The curve followed by an elastic spring can now be derived following a similar method as for the inelastic spring.