Experimental Validation



ring2.0 | a rapid analysis tool for masonry arch bridges  

ring has been extensively validated with experimental testing carried out at both full-scale and small-scale. To find out more, download the Theory and Modelling Guide.

Bolton laboratory tests (full-scale)

Bolton full-scale bridge tests

In Bolton, UK, in the early 1990's a number of 3m and 5m span masonry arch bridges were tested in the laboratory. A key advantage of these tests over field tests was that the internal constructional details and material properties were known.

ring was originally developed to assist with the interpretation of the results from these laboratory tests. In the table below, sample ring analysis results are presented alongside experimental test results (only bridges with detached spandrel walls are included since these behave in a two dimensional manner). It is clear from Table 1 that predictions are quite conservative when the default soil angle of friction is used (column A), but become much more realistic when the measured value is used (column B).

Comparison of Bolton laboratory and ring2.0 collapse loads


TRL field tests (full-scale)

Also in the late 1980’s and early 1990’s, the Transport and Road Research Laboratory (TRRL, now TRL) carried out a series of load tests to collapse on redundant arch bridges. Most bridges failed in four hinge mechanisms, although some of the bridges were reported as failing by ‘three hinge snap through’ or in ‘compression’ (material failure). It was likely that many of the bridges tested were restrained considerably by their attached spandrel walls and/or masonry backing.

In 2001 TRL were commissioned to independently validate ring1.1 and other available masonry arch bridge analysis software. As part of the validation process it was decided that the programs would be used to predict the carrying capacities of 5 of the field bridges load tested more than a decade previously. Details taken from the TRL report relating to ring for 4 of the bridges are provided in Table 2 below:

Correlation between TRL field bridge test and ring collapse loads (independently produced by TRL)

It is evident that agreement between the ring predictions and the full-scale test results was found to be good. Based on this evidence Network Rail have confirmed that ring is a suitable program for use to assess masonry arch bridges on the UK rail network.

Sheffield laboratory tests (small-scale)

Sheffield small-scale bridge testsA series of small-scale tests were performed at the University of Sheffield to confirm the relative importance of passive restraint effects (i.e. as parts of the arch barrel remote from the load sway into the fill) and live load dispersion effects (i.e. as the live load spreads through the fill).

Experimental and ring2.0 results are summarised in the table below. It is evident that the ring2.0 predictions are remarkably good (all within 10% of the experimental results), verifying that the simplified ring2.0 soil model is capable of capturing the key effects of backfill.

Results from load spread / passive restraint separation tests carried out at Sheffield

Salford laboratory tests (full-scale)

To better establish the nature of the soil-arch interaction which takes place, a series of bridges have recently been tested at the University of Salford, UK. Experimental and analysis results are provided in the table below, where it is clear that, when the measured soil strength parameters are used, column (B), ring2.0 provides a very accurate load carrying capacity.

Sample comparison between Salford laboratory and ring2.0 collapse loads

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