if you are using Lean warehouse management then you cannot have much check on capacity and weight at storage bin level as far as my knowledge says in the Lean warehouse at material master level you enter the storage bin number which appears on all the GR / GI slip for reference.if you want to activate weight, capacity and number of material in the bin then you have to activate the full warehouse Management module of SAP
We set the reference storage bin in material master plant data / stor 1 view in Lean warehouse management.
The expected result is not possible using the Lean warehouse management