A first embodiment of a compliant bearing includes a main body and a bearing surface. The main body and the bearing surface may be engaged with one another via one or more bearing surface springs configured such that the bearing surface is compliant with respect to the main body. A second embodiment of a compliant bearing includes a main body and at least one bearing pad. The main body and the bearing pad may be engaged with one another via one or more pad radial and/or pad axial springs configured such that the bearing pad is compliant with respect to the main body. A sensor web may be integrated into the compliant bearing. In one embodiment the sensor web comprises at least one sensor configured as a strain gauge and affixed to a bearing surface spring.