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Learning / bridge engineering

tie

Tie force from inclined thrust

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: Model arch, tie and hangers together, including connection eccentricities and staged loading. The tie 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 notes

Loads and actions

The tie balances the horizontal components of arch thrust and may also carry deck bending.

Choose a model

Model arch, tie and hangers together, including connection eccentricities and staged loading.

Design considerations

Check axial tension, bending interaction, fatigue, splices and robustness of this essential equilibrium member.

Durability and maintenance

Inspect tie splices, welded attachments and internal or inaccessible corrosion zones.

Tie force from inclined thrust

A single local free-body diagram. Global load sharing, prestress, asymmetry and construction sequence are omitted.

Local equilibrium for the stated member geometry and loading; no member sizing or stability check.

Two 45° inclined legs under a crown load P: H = P/2 = 100.0 kN; each leg compression = 141.4 kN