Case Study #5 – Prestressed Beams

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What are the factors that affect the cost of precast pre-tensioned bridge beams, and how easy is it to design according to an optimised cost criteria? Two examples are presented here which demonstrate that the answer is not always what it may seem.

Example 1 - Which of the following two beams costs less?

The natural instinct of most bridge engineers would be to design for the minimum beam size. Both beams were designed for a typical 20m span bridge. The smaller beam has 29 tendons, and the larger beam has 25 tendons with an additional 0.715m3 of concrete. With no other considerations such as overall depth constraints, the larger beam is likely to be more cost effective.

Example 2 - Which of the following 2 beams costs less, the larger beam in example 1, or a similar beam shown next?

Again both beams are designed for the same 20m span. They are the same size, but the first has 25 tendons, and the second has 27 tendons. The second is clearly more expensive. The difference between the two beams however is that the first requires a concrete strength at transfer that is 10N/mm2 higher than the second. The two additional tendons could therefore enable a much lower occupancy time of the precasting bed, and consequent improved efficiency in manufacture.

The tendon optimisation algorithm in Sam was used to generate and investigate both these examples in less than an hour. Such is the efficiency that can be achieved with the new and highly sophisticated optimised tendon tool.