I'm designing a minor slab to Eurocode 2. It's purpose is more for show than any real structural purpose however I need to justify it's ability to resist it's own self weight and possibly the accidental loading of a person climbing upon it.
The slab itself is 680mm wide, 160mm deep (100mm effective depth to rebar) and has a maximum span of 1200mm, so there is little room for shear reinforcement. Ideally, this slab should be kept as small and simple as possible.
This is a small slab and acts as a cope for a sheepile wall and so spans between the 'zig-zag' of the piles.
Eurocode 2 states the following:
As can be seen, for slabs with an effective depth (d) of less than 200mm, the equations do not hold up as the inequality K <= 2.0 must be satisfied.
There is very little explanatory text around these clauses and I am looking for guidance. Does this mean that a solution is impossible using these equations? If so, what other guidance can I refer too?
If not, what significance does the k value have? Does a k value > 2.0 give me a conservative result that I can continue to use?
Ultimately; How can the shear capacity of a concrete slab be determined for effective depths under 200mm within Eurocode 2?