QUESTION $2$

Answer with image

A Cabe$-$stayed bridge which comprise of pylon, bridge deck and pier. Two number of cables have utilized to support the longer span of bridge deck. All the cable are lied down on y$-$z plane as shows in Figure Q$2.$ Critical vehicle load P$=1000$kN and Q$=2500$kN are considered at point I and J respectively to check the safety of bridge under worst condition.

$($Note: There are three components of reaction $($O$\_($x$),$O$\_($y$),$O$\_($z$))$ at O $)$

a$)$ Sketch the Free Body Diagram for the cable$-$stayed bridge. $($CO$1$:PO$1)($C$2)$

$(3$ marks$)$

b$)$ Find the component forces for cables AE and DG and express in form of unit vector. $($CO$1$:PO$1)($C$2)$

$(5$ marks$)$

c$)$ Given that the tension in cable DG is $1500$ kN $.$ Determine the tension in cable AE and the reactions at O $.($CO$2$:PO$2)($C$4)$

$(14$ marks$)$