BHP Group BHP.AX, Rio Tinto RIO.AX, and Fortescue Metals Group FMG.AX rose between 0.2% and 0.6%. Feb 14 (Reuters) - Australian shares climbed on Tuesday, lifted by hopes around U.S. inflation data due later in the day, which could influence the Federal Reserve's monetary policy path. Among individual stocks, the world's largest fibre cement maker James Hardie JHX.AX fell up to 8.7% after lowering its annual earnings guidance for the third time on account of weaker demand from its North America and Asia-Pacific geographies.