Examples and Applications

Practical scenarios and calculations covering thermal movement for expansion joints, elastomeric bearing selection, and bridge articulation layout.

Example

Problem 1: Expansion Joint Movement Calculation

A continuous steel bridge superstructure has an expansion length of L=80 mL = 80\text{ m} measured from the fixed bearing to the expansion joint at the abutment. The bridge is located in a region where the design temperature range is from a minimum of Tmin=30CT_{min} = -30^\circ\text{C} to a maximum of Tmax=50CT_{max} = 50^\circ\text{C}. The installation temperature is assumed to be Tinst=15CT_{inst} = 15^\circ\text{C}.
The coefficient of thermal expansion for steel is α=11.7×106 /C\alpha = 11.7 \times 10^{-6}\text{ /}^\circ\text{C}.
Calculate the total design movement range (ΔLtotal\Delta L_{total}) the expansion joint must accommodate, and determine the maximum expansion and maximum contraction relative to the installation state.

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Example

Problem 2: Bearing Selection Case Study

A simply supported concrete pedestrian bridge with a 15 m15\text{ m} span is being designed. The anticipated vertical loads (dead + live) at each support are relatively light (150 kN150\text{ kN}). The anticipated longitudinal thermal movement is very small (less than 10 mm10\text{ mm}).
Evaluate three bearing options: Steel Pot Bearings, Roller Bearings, and Plain Elastomeric Pads. Recommend the most appropriate bearing type for this structure.

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Example

Problem 3: Articulation Layout Strategy

A continuous three-span steel girder bridge spans across a river. The span arrangement is 30 m45 m30 m30\text{ m} - 45\text{ m} - 30\text{ m}. The bridge is supported by two abutments (Abutment 1 and Abutment 2) and two river piers (Pier 1 and Pier 2).
The river is prone to heavy debris flow, meaning Pier 1 and Pier 2 must be relatively slender to avoid trapping debris, but this makes them flexible and less capable of taking massive horizontal loads. Abutment 1 is founded on solid bedrock, while Abutment 2 is on softer soil with pile foundations.
Determine an appropriate articulation strategy (which supports should have Fixed, Guided Expansion, or Free Expansion bearings) to manage longitudinal thermal expansion and braking forces.

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