<p>This study analyzes the transduction of transverse mechanical loads on nanobeams into magnetic field intensity due to direct flexomagnetic effect. The second-order negative strain gradient theory has been used to capture size effects in piezo-flexomagnetic Euler–Bernoulli nanobeams. The weak form of the resulting sixth-order coupled differential equations has been solved using the Galerkin weighted residual method. Novel polynomial trial functions have been used to satisfy the associated classical and nonclassical boundary conditions. The method has been satisfactorily verified with well-known references. A detailed parametric study on deflection, magnetic potential difference, normal stress, and magnetic field intensity for rectangular beams with various loading conditions and support types was performed. The deflection study suggested that only bending tests are not sufficient to distinguish size-dependent and magnetic behavior in nanostructures as both lead to stiffening. Stress and magnetic intensity were found to be similarly affected by the strain gradient parameter. Also, it was attained that the value of the strain gradient parameter has negligible influence on the magnetoelastic behavior approximately at the mid-point of a cantilever nanobeam subjected to a point load.</p>