A catheter has a composite and segmented construction in a distal section that includes deflectable members and support member arranged in alternating sequence, with each support member carrying a ring electrode and the deflectable members being flexible to allow deflection of the distal section as a whole. Carried on an outer surface of the support member is a coil location sensor. The distal section is configured with a distal irrigation fluid path extending axially through the deflectable members and the support members to deliver irrigation fluid to the ring electrode and the tip electrode. A method of constructing a catheter includes building a section of the catheter from the inside out by mounting the support members on a tubing at predetermined locations and filling gaps in between with a more flexible material to form the deflectable members by extrusion segments or injection molding over assembled components internal to the catheter.
