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What is the difference between an arch and a tied arch?

Published in Bridge Engineering 4 mins read

The fundamental difference between an arch and a tied arch lies in how they manage the outward horizontal thrust generated by the arch structure under load. While a traditional arch relies on external support to counteract this force, a tied arch contains it internally.

Understanding the Classic Arch Bridge

An arch bridge is a structure characterized by its curved form. This curvature is highly efficient at carrying vertical loads by converting them into compressive forces that are transferred downwards and outwards along the curve to its supports.

  • Mechanism: When weight is applied to an arch, the load is distributed along the curve, putting the arch elements primarily in compression.
  • Outward Thrust: A key characteristic of an arch is the generation of significant horizontal outward thrust at its base.
  • Abutments: To resist this outward thrust, traditional arch bridges require robust abutments or massive foundations at each end. These abutments must be strong enough to push back against the arch, preventing its base from spreading apart.
  • Ideal Scenarios: Arch bridges are particularly suited for spanning valleys or rivers with solid, stable banks that can provide the necessary resistance for their abutments.
  • Examples: Iconic examples include ancient Roman aqueducts and many stone bridges found across Europe.

Delving into the Tied Arch Bridge

A tied arch bridge, sometimes called a bowstring arch, conceptually functions much like a traditional arch bridge "flipped upside down" in terms of how its forces are contained. In this design, the arch is positioned above the main horizontal beam or deck of the bridge.

  • Internal Thrust Management: Unlike a classic arch, a tied arch does not rely solely on massive external abutments to resist its outward thrust. Instead, it uses a horizontal tension member, often the bridge deck itself or separate tie girders, to connect the ends of the arch.
  • Ties: This horizontal member, known as a "tie," runs between the two ends of the arch. Vertical or angled cables or hangers (also referred to as ties in a broader sense) then connect the arch to the deck for support, transferring the deck's load to the arch.
  • Force Distribution: As the arch is loaded and tries to push outwards, the tension tie pulls inwards, effectively containing the horizontal thrust within the structure itself. The arch is primarily in compression, while the tie is in tension.
  • Foundation Advantage: Because the horizontal thrust is internally balanced, tied arch bridges require less extensive and less costly foundations compared to traditional arches. This makes them ideal for locations with soft ground or where building large, rigid abutments is impractical, such as over wide rivers or in urban environments.
  • Appearance: The arch typically rises significantly above the roadway, connected to it by a series of vertical or inclined tension members.

Arch vs. Tied Arch: A Quick Comparison

The table below highlights the primary distinctions between these two robust bridge types:

Feature Traditional Arch Bridge Tied Arch Bridge
Thrust Management External abutments resist outward thrust Internal tension ties contain outward thrust
Arch Position Can be below, integrated with, or above the deck Always positioned above the deck
Foundation Needs Requires strong, rigid abutments for stability Less demanding; suitable for weaker ground conditions
Key Components Arch, abutments, deck Arch, deck (acting as tie), vertical/angled hangers/ties
Primary Stresses Arch in compression, abutments in compression/shear Arch in compression, deck/tie in tension, hangers in tension
Typical Use Spanning stable valleys, historical structures Over waterways, urban areas, where abutments are difficult

Practical Applications and Advantages

  • Traditional Arch Bridges:
    • Favored for their classic aesthetic and durability over centuries.
    • Excellent for shorter to medium spans in stable geological settings.
    • Examples include the Pont du Gard in France and many historic stone bridges.
  • Tied Arch Bridges:
    • Offer significant structural efficiency for longer spans without requiring massive foundations.
    • Often chosen for urban environments where space for abutments is limited or for crossing navigable waterways.
    • Can create striking architectural forms.
    • Examples include the Fred Hartman Bridge in Texas and the Tyne Bridge in England.

In essence, while both leverage the strength of the arch form, the tied arch introduces an internal system of balancing forces, making it adaptable to a broader range of site conditions.