Over several decades, railroad ultrasonic examination (UE) industry techniques have primarily been developed through simple analytical modeling and experimental approaches. However, with present-day computational capabilities, we can use numerical techniques such as the Elastodynamic Finite Integration Technique (EFIT) to fine-tune systems for complex applications before the fabrication process begins. EFIT is well-established as a useful method in numerical analysis of ultrasonic wave propagation with distinct advantages over the Finite Difference Time Domain method. Several software packages exist that use EFIT as the primary method for simulating the behavior of ultrasonic waves over time in two or three dimensions, but none of them are well-suited for railroad UE R&D. This paper explores the development of a tool developed for this purpose which was designed to: (1) allow for the input of various profile geometries, boundary conditions, and material inclusion geometries (such as a bolt hole in a railroad track); (2) allow for the input of specific ultrasonic impulses from varying emitter designs; and (3) produce verifiable results, as confirmed by experimental measurements.