Samp51, i take some umbrage at your comment stating that my (and others) answers were not sensible.
I have carried out stress analysis for both composite and metallic wing spars for both small and very large aircraft for quite some time now and am more than qualified to give advice.
I shall therefore try to enlighten you with some further advice which you are welcome to take onboard or ignore...
If you get it wrong, then you will be in serious trouble. I take it that you wont be qualifying your wing structure by full scale testing? And therefore you will only really find out if your wing is statically strong enough when your pulling a high g inertial manoeuvre and the wing falls off.
You will probably not carrying out any fatigue & Damage tolerance analysis on your new spar, so you will have no idea as to when the spar will have cracks of a detectable length, and whether the existing inspection interval is sufficent to pick them up. Also your going to exceed the current flight loading envelope which will impact onto the whole aircraft (both static and fatigue). Thoughts like this need to be addressed at an early stage.
You intend to create an I-beam using different materials between the caps and web, have you though about the method for attaching these together. Which ever method you choose then these need to be able to carry the shear loading developed during wing bending. Also as you will be using composites, the load distribution for loaded fasteners will have peak critical locations.
You are familar with sandwich panel construction, and therefore you will also know that the method of joining the parts is so critical in the final strength of the assembly, so you need to make sure everything is tip-top in that respect, otherwise you adhesive bond strength drops through the floor.
Fasteners will also be something you need to pay attention to, especially on the new spar to cover and rib interfaces.
You also need to have experience of the analysis proceedures to stress the whole wing. You will inevitably change the stiffnesses of the structure and therefore the load distribution, and you cannot then rely on existing calculations to give you guidance. A large Boeing passenger aircraft fell out of the sky many years ago due to changing the upper stabiliser cover from aluminium to steel and didnt think about stiffnesses.
Your changing stiffnesses will also impact onto the response of the aircraft due to decreased (most probably) flexibility, and its natural frequencies. It is driven by a prop aircraft and therefore you may change the local frequency responses and have parts resonating and ergo low fatigue lives. Other wing loadings must also be catered for, brazier, fuel pressures, fuel systems overloads, local load inputs etc
Your spar also acts as a boundary for the integral fuel tank, so does the composite spar have adequate drainage (if its honeycomb), or sufficent capability againt leakage.
Other items that need thinking about are thermal differentials, material compatabilities, material behaviours. I would recommend getting some early professional advice regarding your project. otherwise if it goes through to a DER clearing house then it wont get very far i'm afraid.