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It's unlikely that significant deterioration would have occurred after 3 months' exposure to moisture, but clearly the leaks need to be fixed and the timber allowed to dry out. We assume the floor is made from a grade of plywood with a moisture-resistant adhesive. A business that can test your caravan is Southern Independent Building Inspections. Their usual business is inspecting buildings but they have assured us they can moisture test your caravan. Phone 0400 292 226, or visit their website via this link https://sibi.net.au/.
We don't have any case studies on protector strips, but no evidence of problems either. Indeed, our Technical Design Guide #21, Domestic Timber Deck Design, recommends joist protection, particularly where timbers of moderate durability are used. A copy of TDG #21 can be downloaded free of charge from the WoodSolutions website via this link https://www.woodsolutions.com.au/publications - refer Fig. 6, page 8.
A fully detailed answer to your question is a little beyond the scope of our service. Also we weren't sure about the span of the proposed beam. If it currently spans 4.2m between the two pillars in your photo, presumably the span will be greater than 4.2m if the pillars are removed and the beam runs from wall to wall? In any event, we can give you some general pointers.
We understand the trusses are in South Melbourne. Timber Training at Creswick runs courses on visual stress grading and should be able to suggest some names from previous courses, more info here:
There are several distinct species grouped under the trade name "vitex", depending on country of origin. Joint Groups are related to wood density. New Guinea vitex (Vitex cofassus) has a density range of 645-720 kg/m³ at 12% moisture content, according to a CSIRO publication (Characteristics, Properties and Uses of Timbers, vol. 1, South-east Asia, Northern Australia and the Pacific).
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