For $115$ RE rail properties below, plot Deflection and Moment curves generated by one wheel:

$1.$ What is the maximum deflection and where does it occur?

$2.$ What is the maximum uplift and where does it occur $?$

$3.$ What is the maximum bending moment and where does it occur?

$4.$ What is the maximum reverse moment and where does it occur?

$5.$ For $115$ RE rail calculate maximum tension and compression bending stress in barail type: $115$ RE

Weight: $114\mathrm{.}4$ lb$/$yd

Arean: $11\mathrm{.}22$in$^2$

Moment of inertia about neutral axis: $65\mathrm{.}5$in$^4$

Lateral moment of inertia: $10\mathrm{.}7$ in$^4$

Height of neutral axis above base: $2\mathrm{.}99$in

Height of rail: $6\mathrm{.}625$ink $=4000$ lb$/$in$/$in $[42$ MPa $]$se and in the head

rail type: $115$ RE

Weight: $114\mathrm{.}4$ lb$/$yd

Arean: $11\mathrm{.}22$in$^2$

Moment of inertia about neutral axis: $65\mathrm{.}5$in$^4$

Lateral moment of inertia: $10\mathrm{.}7$ in$^4$

Height of neutral axis above base: $2\mathrm{.}99$in

Height of rail: $6\mathrm{.}625$in