Past Paper Stats and Revision Order

Submitted by Sam Hobbs on

There's a lot to learn in preparation for the exam, and looking at the types of questions that come up frequently in past papers is a good way of working out where to focus your energy for maximum gain. This article takes a look at common features between past papers and recommends an order of revision.

Past Paper Stats

The table below shows some stats for the Bridge Question in each of the past papers up to 2021. Note that the format of the exam changed slightly in 2004, but papers older than this can still be useful for revision.

The exact bridge length and spans are down to the engineer in the exam, however they have been estimated in the table below based on the obstacles crossed and other constraints.

The table also records other notable information about the arrangement, loading, and ground properties given for geotechnical design.

            Features Ground conditions    
Year Month Traffic type Bridge length (m) Deck width not including parapets (m) Approx span (m) Moving bridge? Skew? Curved? SPT N Cu Allowable / safe bearing pressure / compressive strength Max load Groundwater level given Temperature range (°C) Wind speed
1999 April Rail 210 8.5 83       x x     x x  
2000 April Pedestrian 75 2 25     x     x     x  
2001 April Highway 900 9 50         x x   x x  
2002 April Pedestrian 40 3.5 35           x        
2003 April Rail 23 11.3 12         x x   x    
2004 April Waterway 28 12 28       x            
2005 April Highway 28 35 28         x x   x    
2006 April Pedestrian 23 1.5 10       x       x    
2007 April Highway 60 12 15 x     x   x   x   x
2008 April Highway 55 23 55         x x       x
2009 April Pedestrian 70 6 35   x       x       x
2010 April Highway 91 24 45           x       x
2011 April Highway 25 3 25       x x x   x   x
2012 April Highway 150 21.6 80       x x x   x    
2013 April Pedestrian 40 2.5 40     x     x x     x
2014 April Highway 20 15 20 x       x     x   x
2015 January Pedestrian 150 4 75         x x       x
2015 July Highway 220 14.3 100         x x       x
2016 January Airport Taxiway 30 120 30         x x       x
2016 July Light Rail 55 12.3 55       x   x   x   x
2017 January Pedestrian 26 3 26   x   x   x   x   x
2017 July Rail 182 14 20   x   x   x   x   x
2018 January Waterway 30 21 15       x   x       x
2018 July Highway 80 11.3 65       x       x   x
2019 January Pedestrian 53 6 45       x   x   x   x
2019 July Light Rail 60 10 30   x       x   x   x
2020 January Pedestrian 92 3 45       x x x       x
2020 September Pedestrian 95 3 60           x       x
2021 April Highway 55 12 39           x x      
2021 September Highway 265 13.3 140       x           x

Past papers can be downloaded from the IStructE's website.

Frequent Structure Types and Spans

The table below summarises the frequency of bridge types and lengths for the past papers in the table above.

      Full bridge length (m) Average span length (m)
Bridge type Number of questions   Mean Median Mean Median
Pedestrian 10 33% 66 61.5 40 37.5
Highway 12 40% 162 70 55 47.5
Rail 3 10% 138 182 38 20
Light Rail 2 7% 58 57.5 43 42.5
Waterway (canal) 2 7% 29 29 22 21.5
Airport Taxiway 1 3% 30 30 30 30
Total 30 100%        

From the stats you can see that pedestrian and highway bridges are by far the most common, with very few rail / light rail / canal bridges in comparison.

Highway bridges commonly have a ~50m main span; for pedestrian bridges this reduces to ~40m. Rail and canal bridges are even shorter (~20m).

Long span bridges do come up and are worth revising, particularly for highway bridges where there have been a few questions with a very long total bridge length pushing the candidate to devise a solution with multiple long spans, and a few questions with a single very long span. Different forms of construction are often appropriate for these longer bridges e.g. PT concrete boxes and cable stayed or suspension bridges.

Geotechnical Ground Parameters

Questions most commonly give ground properties in the following format:

  • Standard Penetration Test blow counts (SPT N) for granular soil
  • Undrained shear strength (cu) for cohesive soil
  • Safe / allowable bearing pressures for rock

Occasionally, a maximum load will be given for a particular feature, although this is uncommon.

It is notable that soil properties commonly used in engineering practice for detailed design such as angle of shearing resistance (ϕ') are not typically given in the exam, instead being given as test results i.e. SPT N values. You could either convert these to ϕ', or use SPT N directly in your calculations. The cheat sheets on this website aim to use the N values directly, e.g. preliminary foundation design and bored or CFA pile design.

Loads

Temperature ranges used to be commonly given in the exam, but haven't been included since the format changed in 2004. It's possible but quite unlikely that they would be reintroduced - the most significant effects would be on integral bridges where they would cause large earth pressures behind the abutments.

Wind speeds are often given (in units of m/s) although they rarely drive the design. It's worth commenting on the wind load in your paper, noting whether it is high or low and whether you expect it to affect the design. If you choose a cable structure, this is more likely to be affected by wind due to cable oscillations. The wind loading cheet sheat allows you to quickly convert the wind speed into a peak pressure.

Recommended Revision Order

The following revision order is recommended based on the analysis of common question types above, and aims to give good experience with the most common types while also covering the unusual ones so you don't panic if the examiners set an unusual question:

  1. Highway bridges with ~50m main span (attempt several out of 2008, 2010, 2018, Apr 2021)
  2. Pedestrian bridges with ~40m main span (attempt several out of 2002, 2009, 2013, 2019)
  3. Rail bridges with ~20m main span (attempt one e.g 2017)
  4. Canal bridge (attempt one e.g. 2004 or 2018)
  5. Long span highway bridge (attempt one of 2001, 2012, 2015, Sep 2021).
  6. Moving bridge (attempt one e.g. 2007 or 2014).