Show me the steps to solve linear expansion for Temperature Induced stresses and Deformations experiment$\backslash$table$[[$N$,->,$No$.],[,\backslash$table$[[]],\backslash$table$[[$Original$],[$length$($mm$)]]],[,,\backslash$table$[[$Electrical$],[$resistance at room$],[$temperature R$\_($m $)],[($k $\backslash$Omega $)]]],[,,\backslash$table$[[$Room temperature$],[$T$\_($n$2)(\backslash$deg C$)]]],[,,\backslash$table$[[$Linear expansion al$],[($ mm $)]]],[,,\backslash$table$[[$Electrical$],[$resistance R$\_($t$)$ at$],[$heating$]]],[,\backslash$table$[[\backslash$table$[[^()],[*^(0)]]]],\backslash$table$[[$Heating$],[$temperature $(\backslash$deg C$)]]],[,\backslash$table$[[]],\backslash$table$[[$Temperature$],[$change $\backslash$Delta t$(\backslash$deg C$)]]]]$