Investigation of Factors Affecting Vertical Sag of Stretched Wire

TL;DR

This paper derives a theoretical model for the vertical sag of stretched wires and verifies the influence of various factors such as tension, temperature, and Earth's rotation through measurements, highlighting the importance of material strength and length.

Contribution

It introduces a comprehensive theoretical derivation of vertical sag and validates the influence of multiple factors through experimental data.

Findings

Vertical sag is proportional to the square of the length.

Sag decreases with higher specific strength of the material.

Temperature and Earth's rotation also significantly affect sag.

Abstract

To study vertical sag requirements and factors affecting the stretched wire alignment method, the vertical sag equation is first derived theoretically. Subsequently, the influencing factors,such as the hanging weight or tension, span length, temperature change, elastic deformation, and the Earths rotation, of the vertical sag are summarized, and their validity is verified through actual measurements. Finally, the essential factors affecting vertical sag, the specific strength and length, are discussed. It is believed that the vertical sag of a stretched wire is proportional to the square of the length and inversely proportional to the specific strength of the material.