The life of a component subjected to a constant stress can be determined using the S-N diagram. Prediction of cumulative fatigue damage or fatigue life of a component subjected to a given stress sequence of varying amplitude is difficult, if not impossible. Miner's rule and Kramer's equation can predict cumulative fatigue damage with a reasonable degree of accuracy for limited cases. The development of Kramer's equation was studied and a modification suggested. Cumulative fatigue data generated using aluminium alloys 2011-T3 and 2024-T4, were analysed using Miner's, Kramer's and the modified equations. While Miner's rules and Kramer's equation predict cumulative fatigue damage with tolerable error for a few cases, the modified equation has shown close agreement between the experimental and theoretical values of fatigue life or cumulative fatigue damage for the materials studied in this investigation.