Prestressed bridge girders
Most road and metro viaducts in India are carried by prestressed concrete girders. For spans of about 20 to 40 m, precast pre-tensioned or post-tensioned I-girders are cast in a yard, lifted onto bearings and made composite with a cast-in-place deck slab. For longer or curved spans, single-cell or multi-cell box girders are cast in place on falsework or built from precast segments joined by post-tensioning, by span-by-span or balanced cantilever erection.
Design follows IRC 112 for concrete bridges, with loads and combinations from IRC 6, including vehicle classes, impact, braking, temperature gradient and earthquake. The girder must be checked at every stage: transfer in the yard, lifting and transport, erection before the slab is composite, the composite section under the deck and wearing coat, and full service with live load and temperature. Long-term creep and shrinkage redistribute stresses between precast girder and in-situ slab.
Serviceability usually decides the prestress. A common requirement is limited or no tension at the bottom fibre under the frequent load combination, so that cracks do not open and let water reach the strands. Ultimate flexure and shear, including web crushing in thin box webs, are then verified. Durability detailing, cover, duct grouting quality and drainage are as important as strength.
Inspection and maintenance close the loop. Grout voids and corroded strands have caused failures worldwide, so modern practice emphasises full grouting with tested materials, sealed anchorages and, increasingly, monitoring.
Track stresses stage by stage in a table; the governing case often appears before the bridge opens.
Zero tension at bottom (service): P (1/A + e / Z_b) ≥ M / Z_bRequired prestress: P ≥ (M / Z_b) / (1/A + e / Z_b)
Using the composite section properties for loads applied before the deck slab has hardened.
Problem. A composite girder section at mid-span has A = 0.60 m², Z_b = 0.25 m³ and tendon eccentricity e = 0.70 m. The service moment is 4 500 kNm. Find the minimum effective prestress for zero tension at the bottom fibre.
- Bottom stress from moment: M / Z_b = 4 500 / 0.25 = 18 000 kN/m² = 18.0 MPa (tension).
- Prestress compression per kN of P: 1/A + e / Z_b = 1 / 0.60 + 0.70 / 0.25 = 1.667 + 2.800 = 4.467 m⁻².
- P ≥ 18 000 / 4.467 = 4 030 kN.
- This is the effective force after all losses; the jacking force must be higher.
Answer. Effective prestress of at least about 4 030 kN
Quick quiz
1Which IRC code covers concrete road bridge design?
IRC 112.
2Why limit tension at the bottom fibre under frequent loads?
To keep cracks closed and protect the strands.
3Name two erection methods for segmental box girders.
Span-by-span and balanced cantilever.
- IRC:112 (India): Code of practice for concrete road bridges.
- IRC:6 (India): Standard specifications for road bridges: loads and load combinations.
- IS 1343 (India): Design and construction of prestressed concrete.
- AASHTO LRFD Bridge Design Specifications (USA): Load and resistance factor design of highway bridges.
- EN 1992 (Eurocode 2) (Europe): Design of concrete structures.
Cited by number and clause only. We do not reproduce clause text, tables or figures (BIS Act 2016, s.10(5) and s.11). Check the current edition and amendments before use.
References and further reading
Standard texts, listed in no order of merit. We do not copy text, figures, tables or solved problems from any book; our explanations and examples are original.
- N. Krishna Raju, Prestressed Concrete, McGraw Hill Education (India), latest edition.
- T. Y. Lin, N. H. Burns, Design of Prestressed Concrete Structures, Wiley, 3rd edition.
- E. G. Nawy, Prestressed Concrete: A Fundamental Approach, Pearson, latest edition.
Free and official sources
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