A numerical approach for the computation of the specific (for 1 m2) energy consumption, qe, and the specific heat flux, dqe/dτ, needed for covering of the emission in the surrounding environment of the subjected to unilateral heating flat wood details aimed at their plasticizing and following bending has been suggested. The approach is based on the integration and differentiation of the solutions of a linear model for the calculation of the non-stationary 1D temperature distribution along the thickness of subjected to unilateral heating flat wood details, suggested by the authors earlier.For the numerical solution of the model aimed at the determination of qe and dqe/dτ software program has been prepared, which was input in the calculation environment of Visual Fortran. Using the program, computations have been carried out for the determination of the change in the energy qe and in the flux dqe/dτ, which are consumed by spruce details with an initial temperature of 20 °C, moisture content of 0.15 kg·kg-1, and thicknesses of 6 mm, 8 mm, and 10 mm during their 10 min unilateral heating at temperatures of the heating metal band of 100 °C, 120 °C, and 140 °C and of the surrounding air of 20 °C. The obtained results are graphically presented and analyzed.