“…Thermal deformation and stress both have adverse effects on a structure’s serviceability and safety. Therefore, accurate determination of a structure’s temperature distribution has many applications in the design of prestressed concrete bridge girders (Barr et al, 2005), the assessment and selection of bridge expansion joints (Arockiasamy et al, 2008), the study of bridge performance using fiberglass-reinforced plastic and other new composite materials (Kong et al, 2014; Yu et al, 2008), the analysis of the thermal behavior of cracked concrete members in fire (Ervine et al, 2012; Wu et al, 2014), structural health monitoring of large bridges (Xia et al, 2013; Xu et al, 2010), and the study of track-bridge interactions in railway bridges (Mirza et al, 2015; Ryjáček and Vokáč, 2014) due to daily variations in temperature.…”