A two span bridge ABC has a total width of $10$ m $,$ and end up$-$stand beams of $200$ mm wide and $600$ mm high. The deck is of reinforeed concrete of thickness $200$ mm $.$ The deck is supported monolithically by girders $300$ mm wide by $600$ mm deep, these girders are spaced at $1000$ mm centres. The span AB is $20$ m and BC is also $20$ m $.$

i$).$ Draw the cross section and longitudinal section of the bridge. $(4$ marks$)$

ii$).$ Determine the number of notional lanes and the remaining area on the bridge, $(2$ marks$)$

iii$).$ How many tandem systems can traverse the bridge at a time? $(2$ marks$).$

iv$).$ Draw the influence lines and determine the Maximum load effects for one of the girders when all the notional lanes of the bridge are subjected to tandem axle load of $300$ KN and a uniformly distributed load of $9K\frac{N}{m}2$ :

a$)$ Bending moment of girder at midspan of BC $(4$ marks$).$

b$)$ Reaction of girder at support A $(4$ marks$).$

c$)$ Shear of girder at mid of span $AB(4$ marks$)$