Design of Bridge Substructures

The substructure is the critical supporting framework of a bridge. It receives all the loads from the superstructure (dead, live, and environmental loads like wind and temperature) and safely transmits them down to the underlying soil or rock. A bridge is only as strong as its foundation. The primary components of the substructure are abutments, piers, and foundations.

Bridge Abutments and Retaining Walls

Abutments are the structures located at both ends of a bridge. They serve two vital functions: supporting the ends of the bridge superstructure through bearing devices and retaining the earth embankments of the approach roadways.

Primary Functions of an Abutment

  • Vertical Support: Provide a solid resting place for the bridge superstructure through bearing devices. They must withstand massive vertical reactions (dead and live loads).
  • Lateral Support: Act as retaining walls to hold back the soil of the approach fill, preventing it from spilling into the obstacle being crossed (river, road). They must resist significant horizontal active earth pressures.
  • Transverse Support: Depending on the bridge geometry and bearing arrangement, abutments often resist horizontal forces like wind loads acting on the superstructure, and longitudinal forces like vehicle braking or temperature-induced expansion/contraction.

Common Types of Abutments

The choice of abutment type depends on the height of the approach fill, soil conditions, bridge span, and aesthetic requirements.
  • Cantilever Retaining Wall Abutments: The most common type for moderate heights. The vertical reinforced concrete stem retains the earth, while the base footing provides stability against overturning and sliding. They rely on the weight of the soil resting on the heel of the footing for stability.
  • Gravity Abutments: Massive structures typically made of plain concrete or masonry. They resist overturning and sliding purely through their immense self-weight. Suitable only for low heights due to the massive volume of material required.
  • Stub Abutments: Built high up on the approach embankment, near the top of the fill slope. The stem is relatively short, drastically reducing the earth pressure it must retain. They are economical if the embankment is stable but require longer bridge spans to reach the top of the slope.
  • Mechanically Stabilized Earth (MSE) Walls: A highly cost-effective modern alternative for tall abutments. Instead of a massive concrete wall resisting earth pressure, an MSE wall consists of alternating layers of compacted soil backfill and horizontal tensile reinforcements (steel strips, grids, or geosynthetics). The soil itself is "reinforced" into a massive, coherent gravity block. The front face is formed by thin, non-structural precast concrete panels attached to the reinforcement purely to prevent soil erosion. Bridge seats are typically supported on separate pile foundations driven through or behind the MSE mass, or directly on spread footings resting on the stabilized soil mass if the bridge is short and the foundation soil is excellent.
  • Integral Abutments: A design where the superstructure (girders and deck) is rigidly connected to the abutment wall, eliminating expansion joints and bearings at the ends of the bridge. This significantly reduces maintenance costs associated with leaking joints. The abutment and supporting piles are designed to be flexible enough to accommodate the bridge's thermal expansion and contraction movements.
  • U-Abutments: Feature vertical wing walls extending back into the fill parallel to the roadway, forming a U-shape. The wing walls help retain the approach fill and prevent it from spilling around the sides. Often used when right-of-way space is severely limited.

Integral and Semi-Integral Abutments

Modern engineering prefers to eliminate high-maintenance expansion joints at the ends of bridges. This requires the abutment to actively participate in the bridge's expansion and contraction.

Designing Jointless Bridges

  • Integral Abutments: The bridge deck, girders, and abutment wall are rigidly cast together as one solid unit without any bearings or expansion joints. As temperature changes force the girders to expand or contract, they forcefully push and pull the abutment wall and its supporting piles through the surrounding soil. The piles (typically steel H-piles oriented for weak-axis bending) must be long, flexible, and ductile enough to bend back and forth repeatedly over the bridge's life without fatiguing.
  • Semi-Integral Abutments: The girders are cast solidly into a concrete diaphragm block at their ends, eliminating the deck joint above, but the block rests on slide bearings placed on top of a separate, stationary abutment seat. This allows the superstructure to slide freely while keeping the road surface jointless, drastically reducing the bending demand on the supporting piles.

Earth Pressures on Abutments and Walls

The most significant horizontal force acting on an abutment is the pressure exerted by the massive wedge of soil retained behind it.

Active vs. Passive Earth Pressure

  • Active Earth Pressure: If the abutment yields or deflects slightly away from the soil backfill (which it inevitably does under load or thermal expansion), the soil wedge behind it slumps slightly, creating an "active" state of failure that pushes aggressively against the back of the wall. This lateral force is the primary driver for overturning and sliding.
  • Passive Earth Pressure: If a massive force pushes the abutment horizontally into the compacted soil (e.g., thermal expansion of an integral bridge or seismic shaking), the soil in front of the footing resists being compressed. This resisting force is called "passive" pressure. It is crucial for the stability of integral abutments and for resisting sliding in cantilever walls.

Substructure Stability Checks

Before designing the internal reinforcing steel of an abutment or retaining wall, the engineer must ensure the entire massive structure is globally stable against the forces acting upon it (primarily lateral earth pressure and vertical loads).

Global Stability Criteria

  • Sliding: The lateral active earth pressure pushing against the back of the abutment tries to slide the entire structure forward along its base. This is resisted primarily by the friction between the bottom of the footing and the underlying soil, and secondarily by passive earth pressure against the front toe of the footing. The resisting force must be significantly greater than the driving force (Factor of Safety > 1.5 typically).
  • Overturning: The lateral earth pressure creates a massive overturning moment that tries to tip the abutment forward around its toe. This moment is resisted by the stabilizing moment created by the dead weight of the concrete structure and the weight of the massive wedge of soil resting directly on the heel of the footing. The stabilizing moment must significantly exceed the overturning moment.
  • Bearing Capacity: The combined vertical loads (superstructure dead load, live load, abutment weight, soil weight) and the massive overturning moments create extremely uneven, trapezoidal pressure under the footing (the pressure is highest at the toe and lowest at the heel). The maximum calculated soil pressure exerted by the toe must not exceed the safe allowable bearing capacity of the underlying soil, or the abutment will sink unevenly or tilt catastrophically.

Bridge Piers (or Bents)

Piers are the intermediate supports for multi-span bridges. They divide the total crossing length into manageable spans. Like abutments, they must support vertical loads from the superstructure, but they typically do not retain large amounts of earth.

Forces Acting on Piers

  • Vertical Loads: Reactions from the girders (dead loads of the deck and girders, and live vehicular loads). For continuous bridges, these reactions can be enormous.
  • Longitudinal Forces: Forces acting parallel to the bridge centerline. These include vehicle braking forces (which try to push the bridge forward) and thermal expansion/contraction forces of the superstructure (if the bearings at the pier are fixed, preventing the girders from sliding freely).
  • Transverse Forces: Forces acting perpendicular to the bridge centerline. These primarily include lateral wind loads acting against the side profile of the superstructure and the pier itself, centrifugal forces pushing outward when vehicles speed around a curved bridge deck, and massive water pressure or ice impact loads if the pier is situated in a river.
  • Collision Forces: In navigable waterways, piers must be designed to withstand catastrophic, localized impact forces from runaway barges or deep-draft ships (Vessel Collision). For highway or railway overpasses, the pier columns must be designed to withstand high-energy impacts from derailed train cars or errant heavy trucks without buckling or collapsing the bridge above.

Common Types of Piers

Pier design is often dictated by structural requirements, hydraulic considerations (if in water), collision risk, and aesthetics.
  • Solid Wall Piers (Hammerhead Piers): Massive, solid concrete walls extending the full width of the bridge. They offer extremely high resistance to longitudinal and transverse forces and are often used in rivers where heavy debris or ice accumulation is a major concern, as their streamlined, solid shape easily deflects debris without snagging it. A "hammerhead" pier is a variation featuring a narrower, more economical central shaft with a massive, wide cap cantilevered out on both sides to support the wide spread of girders, minimizing the pier's physical footprint in the water or roadway below.
  • Multi-Column Bents: Consist of two or more vertical circular or rectangular columns supporting a massive horizontal cap beam, which in turn supports the bridge girders. They are significantly lighter, more aesthetically pleasing, and allow much better visibility and water flow than solid walls. They are the most common pier type for standard highway overpasses.
  • Single Column Piers: Used when horizontal clearance space is extremely restricted at ground level (e.g., highly congested urban interchanges, complex curved ramps). They require massive, deep foundations to resist the extremely large, unbalanced overturning moments caused by eccentric live loads or transverse wind forces.
  • Pile Bents: A simple row of driven piles (timber, steel H-piles, or concrete) extending continuously above the ground or water line, simply capped with a concrete or timber beam. They are economical for very low-level crossings or temporary bridges over shallow water, but they possess extremely limited lateral resistance and are highly vulnerable to snagging debris, ice impact, and scour.

Bridge Foundations

Foundations are the lowest, most critical, and often most expensive part of the substructure. They are responsible for safely transferring the enormous concentrated loads from the abutments and piers deep into the earth without experiencing excessive settlement or bearing capacity failure. The choice of foundation type depends entirely on the geotechnical properties of the soil or rock beneath the site.

Types of Foundations

  • Shallow Foundations (Spread Footings): Large, massive reinforced concrete pads resting directly on a strong, competent soil or rock layer very near the surface. The immense load from the pier column is distributed over a very large footprint area so that the applied bearing pressure does not exceed the soil's safe bearing capacity. They are used only when competent bearing material is found at very shallow depths (typically less than 3 to 5 meters). They are generally the most economical foundation type but are dangerously susceptible to scour if located anywhere near a riverbed or floodplain.
  • Deep Foundations: Used when competent, strong soil or bedrock is located too deep to reach economically with a spread footing excavation, or when the upper soil layers are extremely weak, highly compressible (like soft clay), or dangerously prone to liquefaction during an earthquake or scour during a flood. Deep foundations act like stilts, transferring loads down to deeper, stronger strata. They derive their load-carrying capacity from two distinct mechanisms: resting their tip directly on a hard stratum like bedrock (end-bearing) or through immense friction developed along their rough sides against the surrounding dense soil (skin friction).
  • Driven Piles: Long, slender structural members (steel H-piles, precast prestressed concrete, treated timber, or hollow steel pipe piles) driven violently into the ground using massive diesel, hydraulic, or drop hammers. They are usually installed in dense clusters or groups and rigidly tied together at the top with a massive, thick reinforced concrete "pile cap," upon which the pier column or abutment wall is built.
  • Drilled Shafts (Caissons or Bored Piles): Massive, large-diameter cylindrical holes (often 1 to 3 meters or more in diameter) excavated deep into the earth using massive rotary augers. The holes are then filled with a heavy reinforcing steel cage and high-strength concrete. They can carry truly massive loads individually and are often "socketed" deep into solid bedrock for maximum end-bearing and uplift resistance. They are heavily preferred over driven piles where ground vibration is a serious concern (e.g., near historic or fragile existing structures) or where driving piles through dense soil layers or massive boulders would be physically impossible or cause the piles to buckle. Often, a single exceptionally large drilled shaft can continuously support an entire pier column without needing a pile cap at all.

Scour: The Hidden Enemy

For bridges crossing rivers, streams, or tidal waterways, the absolute most critical, life-threatening design consideration for substructures is scour. Scour is the aggressive, rapid erosion and removal of supporting soil from around and beneath the base of piers and abutments caused by the high-velocity flow of turbulent water, especially during severe flood events. If scour removes the critical supporting soil beneath a shallow spread footing, or exposes too much of the unbraced length of a deep pile foundation, the bridge will quickly lose its structural stability and collapse catastrophically into the river. Scour is statistically the leading cause of bridge failures worldwide.

Evaluating Scour Vulnerability (HEC-18)

The Federal Highway Administration (FHWA) publishes the standard methodology for evaluating scour at bridges, commonly referred to as HEC-18 (Hydraulic Engineering Circular No. 18). HEC-18 breaks total scour down into three primary, additive components:
  • Long-Term Aggradation and Degradation: The natural, gradual, long-term change in the riverbed elevation over decades or centuries. Degradation is the long-term lowering of the streambed across the entire reach of the river, while aggradation is the filling in of the channel.
  • Contraction Scour: Occurs when the natural flow area of a river is artificially constricted or narrowed by the physical presence of the bridge itself (e.g., massive approach embankments built out into the floodplain, or numerous large piers blocking the channel). The water is forced through a smaller opening, increasing its velocity and shear stress on the riverbed, causing aggressive erosion across the entire narrowed section of the bridge opening until a new, deeper equilibrium bed elevation is reached.
  • Local Scour: The extreme, localized, highly turbulent erosion that occurs immediately adjacent to and immediately downstream of individual bridge piers and abutments. As fast-moving water violently strikes the blunt face of a pier column, it dives sharply downwards, forming powerful, destructive, spinning "horseshoe vortices" at the base of the pier that aggressively dig a deep scour hole immediately around the foundation.
Design Imperative: Deep foundations (driven piles or drilled shafts) for riverine bridges must be designed to extend significantly deeper than the maximum estimated scour depth (the sum of all three HEC-18 components calculated for the 100-year or 500-year design flood). The foundation must remain structurally stable, with sufficient embedment length remaining in the soil below the theoretical scour hole, to support the bridge during the peak of the flood. Spread footings are generally not permitted in riverbeds unless they are founded directly on massive, unweathered, highly scour-resistant solid bedrock.

Total Scour Depth Equation (HEC-18)

Estimates the total scour depth at a bridge support by summing the three main types of expected erosion during a severe flood. Use cases: Determining the minimum embedment depth for bridge deep foundations, Identifying pile cap depths and ensuring adequate pile support during severe floods.

ys=yag/deg+yc+yly_s = y_{ag/deg} + y_c + y_l

Variables

SymbolDescriptionUnit
ysy_sTotal predicted depth of scourm or ft
yag/degy_{ag/deg}Long-term aggradation or degradation of the riverbed over timem or ft
ycy_cContraction scour resulting from flow constriction across the bridgem or ft
yly_lLocal scour explicitly at the base of the foundation/pierm or ft
Key Takeaways
  • The substructure (abutments, piers, foundations) safely transfers massive, concentrated superstructure loads deeply into the earth.
  • Abutments support the ends of the bridge and retain the approach earth embankments; traditional types include cantilever and gravity walls. Modern design heavily favors Mechanically Stabilized Earth (MSE) walls for economy and Integral Abutments to eliminate problematic expansion joints.
  • Piers (bents) provide intermediate support for multi-span bridges, actively resisting massive vertical loads, longitudinal braking/thermal forces, severe transverse wind/water forces, and catastrophic vessel collision forces; common configurations are solid walls, multi-column bents, and single columns.
  • Shallow Foundations (Spread footings) distribute loads over a large area and are only used on very shallow, highly competent soil or solid rock. They are highly vulnerable to scour.
  • Deep Foundations (Driven piles or massive drilled shafts/caissons) are absolutely necessary when strong bearing strata are located very deep, when shallow soils are weak/compressible, or when catastrophic scour is a significant risk.
  • Scour (the severe erosion of soil by turbulent, high-velocity flood water) is the leading cause of catastrophic bridge failures over waterways. Engineers use methodologies like HEC-18 to calculate the depth of contraction and local scour to ensure foundations are embedded deeply enough to remain stable even during the most severe, 500-year flood events.