The T$-$beam shown below has a total length of $8m,$ and the centre$-$to$-$centre spacing between its

simple supports is $7\mathrm{.}6m.$ Corrosion of the reinforcement has been identified as the main cause

of significant deterioration requiring rehabilitation. Spalling of concrete has occurred at several

locations along the soffit of the beam. Side spalling on the beam webs has also been observed at

one end of the beam over a length of approximately $800mm.$ The estimated mass loss of the

longitudinal reinforcement at midspan is $30\%$ for the outer two reinforcing bars and $10\%$ for the

inner two bars. In addition, several of the stirrups are estimated to have lost up to $20\%$ of their

cross$-$section in a critical location coinciding with the side spalling.

You are required to develop a repair and rehabilitation plan for the beam based on the

information provided. The factored load resistance of the strengthened beam should be $10\%$

greater than the original design resistance if the expected failure mode is ductile $($i$.$e$.$ flexure$-$

dominated with yielding of steel reinforcement$)$ or $50\%$ greater if the expected failure mode is

brittle $($i$.$e$.$ shear or compression$-$dominated failure$).$ Assume that the applied load is uniformly

distributed.

Specify the steps of the repair, including removal and replacement of the deteriorated concrete.

Propose a suitable strengthening option, with drawings, and provide design calculations to show

that the resistance is adequate. Discuss the implications of the chosen strengthening method on

serviceability performance $($e$.$g$.$ deflections$).$ Provide your final recommendation to the owner,

accounting for structural performance, constructability, and durability of the system, as well as

any other relevant factors.

Clearly state any other assumptions used to develop your solution.