124 Where
Ps = Equivalent static vessel impact force (kips.
DWT= Deadweight tonnage of vessel (tonne.
V = Vessel impact velocity (ft/sec). Since the design load is treated as an equivalent static force, the lateral loading analysis for the foundation is performed using static loads rather than dynamic or cyclical loads. Two design cases are assessed for substructure design once the equivalent static force is determined (AASHTO 2014):
β’
100 percent of the design impact force is applied in a direction parallel to the alignment of the centerline of the navigable channel
β’
50 percent of the design impact force in the direction normal to the direction of the centerline of the channel. All components of the substructure exposed to physical contact by any portion of the vessel are to be designed to resist the applied loads. The assessment should consider the geometry of the vessel in determining the portions of the substructure that maybe
in contact with the vessel, as well as crushing of the bow of the vessel. The impact force is applied as follows (AASHTO 2014) for each of the two design cases described above For overall stability, the design impact force is applied as a concentrated force on the substructure at the mean high water level (MHL) of the waterway as shown in Figure 8-2. For local collision forces, the design impact force is applied as a vertical line load equally distributed along the vesselβs bow depth as shown in Figure 8-3. The vesselβs bow is considered to be raked forward in determining the potential contact area of the impact force on the substructure.
Fora barge impact, the local collision force is taken as a vertical line load equally distributed on the depth of the head block as shown in Figure 8-4. The foundations are designed for the force effects calculated for all the above conditions (parallel and normal to centerline, for concentrated and distributed force applications. The most critical case governs the design. Additional vessel impact collision loads may include collision with the bow, deckhouse, or mast with the superstructure. As these loads are directly
applied to the superstructure, a structural analysis is required to develop the force effects at the head of the deep foundation elements. Once the force effects on the foundations are determined, a lateral loading analysis can be performed according to the procedures previously outlined in this manual. Protection against vessel impact loads can be provided by inclusion of physical protection systems such as fenders,
pile clusters, dolphins, islands, or other measures. Such measures may reduce or eliminate the vessel collision forces applied to the bridge structure and its foundation. The design of such protective systems usually involves an iterative process to evaluate the energy absorption capacity of the system including flexure, torsion, shear, and displacement of the system components) versus the kinetic energy of the vessel (AASHTO 2014). This type of analysis is beyond the scope of this manual.