My opinion that the standard D 790 for not reinforced or renforced with particle polymers of small strength, and D7264 for the high-strength materials reinforced by continuous fibers
ASTM D790 is for unreinforced and reinforced plastics, and high-modulus composites and electrical insulating materials. A three-point loading setting is valid. Rigid and semi rigid materials can be tested but it is not possible to determine the flexural strength of the materials that do not break or fail yield within 5% strain. A 4-point bend testing is more suitable for samples that do not rupture within the conditions of ASTM D790.
ASTM D7264 measures flexural strength, flexural stiffness (modulus) and load-deflection characteristics at two settings: (3-point bend) and (4-point bend). This test method fits continuous-fiber-reinforced polymer matrix composites. Unlike ASTM D790 the standard span-to-thickness ratio is 32:1 rather than 16:1 for ATM D7264. Accordingly, long-beam strength is measured in ASTM D7264.
Based on:
ASTM D790 Standard Test Methods for Flexural Properties of Unreinforced and Reinforced Plastics and Electrical Insulating Materials, 2015
ASTM D7264/7264M Standard Test Method for Flexural Properties of Polymer Matrix Composite Materials, 2015