Winner of the Quiz

Jayanthan Madheswaran

Westmar Advisors Inc.

Incremental Launch Quiz Series

18 - 24 Dec 2025

Week 6 – Additional Steel Tonnage

Estimated Time: 4–5 min | PDH/CPD: 0.5 hr | Difficulty: Intermediate

Background: The Sombrio bridge is a two-span composite steel plate girder bridge (40 m + 82 m) launched across a deep ravine in Port Renfrew, BC. Four plate girders were incrementally launched without a temporary pier or launch nose, using precast deck panels as tail counterweight, thickened pier-segment bottom flanges, and crane-assisted final lift. (Parameters simplified for conceptual learning. Allow +25% for cross-frames, connection & splice plates. Girders launched without formwork; ignore wind.)

Engineer's Mind: Quiz 5 determined bottom flange must increase from 65 mm to 76 mm for 81 m cantilever capacity. Quantify material impact for steel erector: estimate additional tonnage for procurement, fabrication planning, and cost. Add 20% contingency for conceptual-phase uncertainties (pier segment length, welding details, material wastage).

Question: Calculate total additional steel required (tonnes) for all four girders to strengthen pier segment by increasing bottom-flange thickness from 65 mm to 76 mm. Pier segment is 30 m long per girder. Include 20% contingency. Given:

  • Bottom flange width = 700 mm
  • Thickness increase: 65 mm → 76 mm (Δt = 11 mm)
  • Pier segment length per girder = 30 m
  • Number of girders = 4
  • Steel density ρ_s = 7850 kg/m³
  •   Contingency factor = 1.20
  1. 6.9 tonnes
  2. 7.2 tonnes
  3. 8.0 tonnes
  4. 8.7 tonnes
Explanation

Calculation:

  1. Increase in sectional area of steel, ΔA = 0.700 × 0.011 = 0.0077 m²
  2. Volume of additional steel in the pier segment, V per girder = 0.0077 × 30 = 0.231 m³
  3. Additional weight per girder = 0.231 × 7850 = 1,813 kg = 1.81 tonnes
  4. Total additional weight (4 girders) = 1.81 × 4 = 7.24 tonnes
  5. With contingency = 7.24 × 1.20 = 8.69 tonnes ≈ 8.7 tonnes

The 20% contingency accounts for the design risk due to the conceptual nature of calculations. This modest addition (<1% of total bridge steel) could eliminate expensive temporary launching equipment. Critically, added steel provides permanent structural value, unlike throw-away launch nose.