This paper analyzes the magnetic and thermal stresses in a direct liquid-cooled coreless linear actuator. A multi-physical approach using 3-D finite element and volume methods has been performed to model the magnetic, thermal and mechanical domains. The mechanical stress acting on the interior components of the actuator are separated into their respective thermal and magnetic contributions. The different stress components are localized and the dependency of the stress contributions on the current density in the coils is investigated. Further, an analysis of the coil geometry and the thermal stress distribution is performed for constant heat generation per unit volume.