Problem : If a steel tape has a nominal length of $20$ m and its actual length at calibration was found to be $19\mathrm{.}95$ m $.$ The field temperature was $16C$ and the $3l*m$ steel tape was exactly $20$ m at $20C.$ Also the steel tape weight $0\mathrm{.}9$ kg and is supported at the ends only with a pull of $20$ kg $.$ A distance is measured using this tape found to be $32\mathrm{.}78$ m $.$

What is the corrected length for this measurement?

$C_l=[\frac{1-1}{T}]L,C_1=(T_1-T_0)L,C_1=-\frac{W^{2}L}{24P^2}=-\frac{w^2{L}^3}{24P^2}$