A catheter tubing is disclosed having a cross-sectional profile that takes the characteristics of a structural beam, such as an “I”-beam, and in so doing possesses the bending moment and stiffness of the beam profile. The tubing can be made from existing polymers and existing manufacturing techniques, and multi-lumen configurations are possible. In the example of the I-beam profile, the catheter tubing will have two lumens while a double I-beam configuration will possess four lumens.