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The objective of this module is:-
Background
A section of the Midland Main Line runs from London St Pancras to Derby some 128 miles in length. This is predominately two track with a four track section between Bedford and London
Both passenger and freight trains run over the route currently with maximum speeds of 110mph for passenger and 75mph for freight. The feasibility study is to examine if 125 mph running is possible using conventional or tilting trains
Current Passenger trains are predominately 'Meridian' or HST (High speed Trains) both of which have differing acceleration and braking profiles
The line has many sections of straight and curved track and also passes over several hill sections. There are several major stations on the route (e.g. Derby, Leicester, Kettering, Bedford etc) that were built in the Victorian era and are situated on sharp curves
Throughout the route there are a number of structures including viaducts, overbridges and underbridges. Many of these exist from when the line was constructed and have tight clearances
The track runs over various geological situations from chalk in areas at the south end to granite at the northern end of this section.
South of Bedford the line is 4 track and has an overhead electrification system.
The state of stress at a point is given through the stress components sx = 70 MPa, sy = 10 MPa, and txy = - 40 MPa. Using Mohr''s circle find (i) Principal stresses, and (ii) Princ
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