Learning / bridge engineering
pier
Horizontal pier flexibility
Lesson review: expert verification remains open
This lesson has received a full-context editorial review and a check of its technical explanations. Selected arithmetic has been checked separately. This is not independent engineering sign-off.
Checks needed for project use
- Bridge component studies and adjustable examples still need an independent bridge-engineering review, including applicability, load models and detailing guidance.
- Specialist review remains for: Use a beam-column with cracked stiffness, imperfections and foundation flexibility. Slender piers need second-order assessment; seismic response may require nonlinear and ductility modelling. The pier calculation is a local idealisation; it does not verify the displayed bridge or applicable design requirements.
These are educational models and exercises. Check their assumptions before using the results. The full technical content and every diagram have not yet been independently verified.
Concrete and steel calculations retain their stated first-generation Eurocode teaching basis. Use the standards and amendments specified for your project; do not mix generations without an appropriate design basis.
Read the lesson register and outstanding review notesLoads and actions
Piers carry axial reaction, deck restraint, wind and possible collision or hydraulic actions. Thermal displacement can create large moments in a stiff monolithic pier.
Choose a model
Use a beam-column with cracked stiffness, imperfections and foundation flexibility. Slender piers need second-order assessment; seismic response may require nonlinear and ductility modelling.
Design considerations
Compare single columns, wall piers and portal bents. Check axial–moment interaction, shear, stability, crack control, foundation compatibility and construction tolerances.
Durability and maintenance
Inspect impact zones, splash zones and bearing shelves. Underwater defects and scour need an inspection strategy beyond visible concrete surfaces.
Horizontal pier flexibility
Uncracked linear cantilever with fixed base. Cracking and foundation flexibility generally change the stiffness.
Cantilever, E = 30 GPa, I = 0.5 m⁴, H = 100 kN: u = Hh³/(3EI).
Top displacement = 0.48 mm