This article is devoted to the importance of inspection of overhead power lines by detection of mechanical loads on conductors. A conductor under the action of forces caused by wind pressure swings like a pendulum. It is possible to determine conductor oscillations in space by inclinometer with high precision. While reconstructing conductor geometry in overhead power line span, it is possible to determine mechanical loads. Mechanical loads of overhead power line conductor are estimated using the developed model of free harmonic oscillations in span. The mathematical model of conductor is based on mathematical models of ideal cable and physical pendulum. Conductor is a physical pendulum, where a conductor acts as body, and fixed axle is presented by direct line passing through the conductor suspension points. The developed model determines conductor sag by oscillation period of conductor in span. The article discusses calculation algorithm of conductor sag for two cases: the conductor suspension points are at one height; the conductor suspension points are at different heights. Theoretical calculation is performed for the model of overhead power line span accompanied by estimation of sensitivity of the developed model and its error upon determination of conductor sag. Using the conductor sag, it is possible to reconstruct its geometry, thus, the mechanical loads of conductor. On the basis of initial geometrical parameters of overhead line span, it is possible to inspect its current state.