In the paper some aspects of the increment of stress and strain of updated Lagrange (formulation) in the analysis of geometrically nonlinear problem have been treated from the (definition) of stress and strain of definite deformation. Then a 2D beam is taken as the example with the (only) rigid-body motion, the (detail) formulation of increment of Euler stress and infinitesimal strain, (Kirchhoff) stress and Green strain are discussed. The increment of virtual work equation in t...