GATE Civil Engineering (CE) 2020 Shift 1 Solved Paper

A simply supported prismatic concrete beam of rectangular cross-section, having a span of $8\mathit{m}.$ is prestressed with an effective prestressing force of $600\mathit{k}\mathit{N}$. The eccentricity of the prestressing tendon is zero at supports and varies linearly to a value of e at the mid-span.
In order to balance an external concentrated load of $12\mathit{k}\mathit{N}$ applied at the mid-span, the required value of e (in $\mathit{m}\mathit{m}$. round off to the nearest integer) of the tendon, is____________.