# Parabolic arch

**parabolic archesparabolicparabolic archedparabolic vaultparabolaparabolic concrete archparabolic rib archparabolic shape of the archparabolic steel archparabolic vaults**

A parabolic arch is an arch in the shape of a parabola.wikipedia

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### Arch

**archesround archarched**

A parabolic arch is an arch in the shape of a parabola. Unlike a catenary arch, the parabolic arch employs the principle that when weight is uniformly applied above, the internal compression (see line of thrust) resulting from that weight will follow a parabolic curve.

The parabolic arch employs the principle that when weight is uniformly applied to an arch, the internal compression resulting from that weight will follow a parabolic profile.

### Catenary

**CatenariesInverted catenary archcable structures**

While a parabolic arch may resemble a catenary arch, a parabola is a quadratic function while a catenary is the hyperbolic cosine, cosh(x), a sum of two exponential functions.

The catenary curve has a U-like shape, superficially similar in appearance to a parabolic arch, but it is not a parabola.

### 16th Street Bridge (Washington, D.C.)

**16th Street BridgeSixteenth Street Bridge**

The 16th Street Bridge, also known as the Piney Branch Bridge, is an automobile and pedestrian bridge that carries 16th Street NW over Piney Branch and Piney Branch Parkway in Washington, D.C. It was the first parabolic arch bridge in the United States.

### Catenary arch

**catenarycatenary archesarch**

While a parabolic arch may resemble a catenary arch, a parabola is a quadratic function while a catenary is the hyperbolic cosine, cosh(x), a sum of two exponential functions. Parabolic arches were used by architects Oscar Niemeyer, and Antoni Gaudí, who also used catenary arches. Unlike a catenary arch, the parabolic arch employs the principle that when weight is uniformly applied above, the internal compression (see line of thrust) resulting from that weight will follow a parabolic curve.

It is not a parabolic arch.

### Bixby Creek Bridge

The bridge's location on the scenic Central Coast of California, the parabolic shape of the arch, the tall spandrel columns, and the architectural piers contribute to an "intense aesthetic experience."

### Oscar Niemeyer

**NiemeyerNiemeyer, OscarOscar Niemeyer, o arquiteto no recanto da princesa**

Parabolic arches were used by architects Oscar Niemeyer, and Antoni Gaudí, who also used catenary arches.

Auguste Perret, in Casablanca and Robert Maillart in Zurich had experimented with the plastic freedom of concrete, taking advantage of the parabolic arch's geometry to build extremely thin shells.

### Casa Milà

**La PedreraCasa MiláCasa Mila**

The attic, where the laundry rooms were located, was a clear room under a Catalan vault roof supported by 270 parabolic vaults of different heights and spaced by about 80 cm.

### Bayonne Bridge

**Bayonnebridge**

The arch resembles a parabola, but is made up of 40 linear segments.

### Cape Creek Bridge

**Cape Creek Bridge No. 01113**

The bridge resembles a Roman aqueduct, with a single parabolic arch that spans half its length.

### St Leonard's Church, St Leonards-on-Sea

**St Leonard's ChurchSt Leonarda church**

Giles Gilbert Scott's proposal for the rebuilding of war-damaged Coventry Cathedral (1946–47) and his brother's work on the St Mary and St Joseph's Church on the Lansbury Estate in east London (1950–54), both based on a series of parabolic arches, informed their work at St Leonards-on-Sea: the design theme was used both inside and out.

### St Paul's Anglican Church, Proserpine

**St Paul's Anglican ChurchSt Paul's Anglican Memorial Church**

St Paul's Anglican Church, a striking parabolic arched structure of concrete, brick, timber and glass, is located in Proserpine in the Whitsunday Region of northern Queensland.

### Paraboloid

**hyperbolic paraboloidelliptic paraboloidhyperbolic paraboloids**

A hen's egg can be fairly well described as two different paraboloids connected by part of an ellipse

### Dell Bridge

It is a saddle-back bridge with a parabolic arch.

### Antoni Gaudí

**GaudíAntoni GaudiGaudi**

Parabolic arches were used by architects Oscar Niemeyer, and Antoni Gaudí, who also used catenary arches.

Gaudí designed a monumental entrance with a magnificent parabolic arch above iron gates, decorated with the Catalan coat of arms and a helmet with a winged dragon, the work of Joan Oñós.

### Tyne Bridge

**TynebridgeGeorge V Bridge**

The bridge's design uses a parabolic arch.

### Cathedral

**cathedralscathedral churchproto-cathedral**

Such arches are used in bridges, cathedrals, and elsewhere in architecture and engineering.

### Parabola

**parabolicparabolic curveparabolic arc**

A parabolic arch is an arch in the shape of a parabola. While a parabolic arch may resemble a catenary arch, a parabola is a quadratic function while a catenary is the hyperbolic cosine, cosh(x), a sum of two exponential functions. Unlike a catenary arch, the parabolic arch employs the principle that when weight is uniformly applied above, the internal compression (see line of thrust) resulting from that weight will follow a parabolic curve.

### Quadratic function

**quadraticquadratic polynomialquadratically**

While a parabolic arch may resemble a catenary arch, a parabola is a quadratic function while a catenary is the hyperbolic cosine, cosh(x), a sum of two exponential functions.

### Hyperbolic function

**hyperbolic tangenthyperbolichyperbolic cosine**

While a parabolic arch may resemble a catenary arch, a parabola is a quadratic function while a catenary is the hyperbolic cosine, cosh(x), a sum of two exponential functions.

### Exponential function

**exponentialexponentiallyexp**

### Line of thrust

**thrust line**

Unlike a catenary arch, the parabolic arch employs the principle that when weight is uniformly applied above, the internal compression (see line of thrust) resulting from that weight will follow a parabolic curve.

### Bridge

**road bridgerailway bridgebridges**

It is commonly used in bridge design, where long spans are needed.