A sensor arrangement for measuring at least one component of a force or a torque includes a sensor assembly having a first contact structure and a second contact structure, between which the at least one component of the force or torque is to be measured, and a plurality of sensor elements. The plurality of sensor elements are each connected by way of a first joint to the first contact structure and by way of a second joint to the second contact structure and configured to measure the component of force or torque between the first contact structure and the second contact structure. The first contact structure, the second contact structure and the plurality of sensor elements form a rolled-up structure that extends like a jacket along a surface of the sensor arrangement.