$286,000$lb$.[1272$kN$]$ four axle freight car is travelling at $50$mph $[80$ kph$]$ on soft concrete tie track with $115$RE $[57$kg Rail. The car has $36$ inch wheels. The track modulus $]$ A$.$ For $115$ RE rail properties below, plot Deflection and Moment curves generated by one wheel: What is the maximum deflection and where does it occur? What is the maximum uplift and where does it occur? What is the maximum bending moment and where does it occur? What is the maximum reverse moment and where does it occur? For $115$RE rail calculate maximum tension and compression bending stress in base and in the head B$.$ If the wheel rail contact zone has the following dimensions $2$a$=0\mathrm{.}95$ inches $2$b$=0\mathrm{.}70$ inches; what is the average and maximum contact stress for the above problem.