<p>An analytical-based methodology is developed for elastic analysis of a graphene origami enriched composite cylindrical sport equipment shell as pommel horse subjected to thermal and mechanical loads with clamped constraints. The shear deformable model is used as kinematic relation for deformation analysis of the graphene origami enriched composite shell. The novel proposed material can be used in the sport equipment and accessories with improved characteristics. The virtual work principle is developed to derive governing equations of elastic deformation with computation of strain energy and external work. The novel analytical solution is developed to derive a general solution method for clamped–clamped boundary conditions. The material characteristics are extracted from the Halpin–Tsai micromechanical model and rule of mixture. The mathematical method based on Eigenvalue–Eigenvector-based solution approach is developed to obtain the numerical results. The longitudinal and radial variation of the displacements, strains and stresses are presented. An investigation on the effect of folding and volume fraction is presented.&#xa0;An investigation on the effect of folding and volume fraction is presented. Comparison between the numerical values of the various stress components indicates that the circumferential stress is a dominant one among all stress components.</p>