Abstract:
For the deployment of antennas on spacecraft, long hollow box-shaped beams are used in space technology. These beams are fabricated from composite materials. Solar radiation induces stresses in the beams, which significantly affect the performance of the devices mounted on the deployed structure. This study examines a box-shaped beam subjected to bending by a force applied at its free end. The center of gravity of the cross-section does not coincide with the point of the bending force application. The analysis assumes elastoplastic deformations and a lateral surface free of stresses. An exact solution is derived using conservation laws that provide a detailed description of the stress state in the structure. The stress state is calculated at each point of the considered domain through integrals along the external boundaries of the cross-section and along the contours of the fiber sections.