®
®
In structural engineering, deflection is the degree to which a part of a long structural element (such as beam) is deformed laterally (in the direction transverse to its longitudinal axis) under a load. It may be quantified in terms of an angle (angular displacement) or a distance (linear displacement). Standard formulas exist for the maximal deflection of common beam configurations and load cases at discrete locations.
The equation governing the beam's deflection can be approximated if:
The mechanical forces acting on a cable installed in air can be modelled like for an uniformly loaded beam.
Depending on how the cable is fixed we consider different cases to calculate the maximal deflection at midpoint:
| $\frac{5\frac{F_{k,max}}{1000} {L_{span}}^4}{384JE_c}$ | simply supported beam |
| $\frac{1\frac{F_{k,max}}{1000} {L_{span}}^4}{384JE_c}$ | fixed-end beam |
| $\frac{\frac{F_{k,max}}{1000} {L_{span}}^4}{384JE_c} \frac{5+\frac{k_{\theta} L_{span}}{2JE_c}}{1+\frac{k_{\theta} L_{span}}{2JE_c}}$ | rotational spring |