The paper presents a time-domain circuit model for speed-controlled squirrel-cage induction machines that provides electromagnetic forces to structural-mechanical representations of drivetrains of electrified vehicles. The model is parametrized by magnetostatic calculations and its results reflect the influence of saturation, slotting and distributed windings. While, due to its simple structure, the model is substantially faster than full time-stepping field calculations, its results are sufficiently accurate for a multiphysics simulation environment, as demonstrated in numerical examples.