The anatomical structure of biological tissues and their mechanical function are closely related. Forces have a decisive influence on growth and remodeling of tissues; furthermore, intra- and extravascular transport processes are mostly controlled mechanically and the metabolism of many cells is influenced by flow-induced shear stresses. In order to facilitate a mechanical analysis of biological systems, the anatomical tissue structure has to be determined with the aid of 3D imaging methods. In particular, the anisotropic fibrous architecture of the organs involved along with appropriate constitutive relations have to be considered. Examples of structure-(mechanical) function relationships are discussed in an exemplary fashion for bone, the heart and the uterus. The behavior of biological structures under unphysiological loading situations, such as they may occur in accidents, is addressed.