Non-Robust tests for path delay faults(PDFs) have gained importance in industry as a high percentage of PDFs are non-robustly testable in comparison to robustly testable PDFs. In this paper we present a novel function-based method to generate test patterns for the Non-Robust testable PDFs under the launch-off-capture (LOC) scan architecture. In contrast to a recently proposed functionbased method [8] which generates LOC tests for the robustly testable paths, the proposed approach presents a new framework which simplifies the test functions and has simpler algorithms for LOC test generation. Experimental results show that the proposed method has less space and time complexity when compared to [8], and is scalable to path intensive designs.