PRECISE CALCULATIONS are seldom justified in the determination of the sags and the tensions of transmission lines, because the effect of many of the variables bearing on tension are indeterminate: no practical equation exactly describes a suspended cable; the conditions of conductor loading are, of necessity, idealized; the elastic properties of conductors are not constant; and additional errors are inevitable during construction. However, the catenary is taken as the form assumed by a suspended cable, the equation of which is

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