End blocks
The full prestressing force enters a post-tensioned member through a small anchor plate at the end. Immediately behind the plate the stress is highly concentrated; a little further in, roughly one member depth away, it has spread out to the linear distribution of ordinary beam theory. The region in between is the end block, or anchorage zone, and it behaves quite differently from the rest of the member.
As the compression spreads out from the anchor, the lines of force bulge outwards and then turn parallel again. That bulging creates transverse tension, the bursting force, across the line of the load, a short distance behind the anchor. Near the loaded face, at the corners and between multiple anchorages, there is also spalling tension. If either is not reinforced, the end block can split along the tendon line, sometimes violently during stressing.
The bursting force depends on how concentrated the load is: the smaller the anchor plate compared with the end block, the larger the force. A widely used empirical relation, found in standard textbooks and reflected in codes, gives the bursting force as the prestressing force times a factor that falls from roughly 0.3 for a very small plate to almost nothing as the plate approaches the full end face. Reinforcement, usually closed links or a spiral around each anchorage, is placed across the bursting zone to carry this force at a limited steel stress.
Anchor manufacturers supply local zone details, spirals and minimum edge distances from tested systems. The designer checks the general zone, including the interaction of several anchors, and the bearing stress under the plates, which depends on the concrete strength at the time of stressing.
Use the concrete strength at the time of stressing for the bearing check, not the 28-day strength.
Bursting force (empirical): F_bst ≈ P (0.32 − 0.3 y_po / y_o), y_po and y_o = half side of anchor plate and of end blockBursting steel: A_s = F_bst / f_s (f_s = permitted steel stress)
Reinforcing only for bursting and forgetting spalling tension at the corners and between anchors.
Problem. A 1 000 kN tendon is anchored with a 200 mm square plate in a 500 mm square end block. Find the bursting force and the link steel, taking a design steel stress of 0.87 × 500 = 435 MPa.
- y_po / y_o = (200 / 2) / (500 / 2) = 100 / 250 = 0.4.
- F_bst ≈ 1 000 × (0.32 − 0.3 × 0.4) = 1 000 × 0.20 = 200 kN.
- A_s = 200 000 / 435 = 460 mm², provided as closed links distributed through the bursting zone in each direction.
- Check also bearing stress under the plate: 1 000 000 / 200² = 25 MPa against the permitted value at the transfer strength.
Answer. Bursting force about 200 kN; about 460 mm² of links each way
Quick quiz
1What causes bursting tension in an end block?
Lateral spreading of the concentrated anchor force.
2How does a larger anchor plate affect bursting force?
It reduces it.
3What is usually placed around each anchorage?
A spiral or closed links (local zone reinforcement).
- IS 1343 (India): Design and construction of prestressed concrete.
- IRC:112 (India): Code of practice for concrete road 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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