In this work, analytical and numerical methods were utilized to analyzestatic transverse deflection for a nonprismatic Euler-Bernoulli beam. Beam models variation linearly in height, width, and both width and height. The boundary conditions for clamp-free and free-clam support are studied and at the free end is applying a concentrated load. The influence of the second moment of area on the static transverse deflection of nonprismatic beams is studied. The analytical method includes calculating the equivalent second moment of area. The finite element approach was implemented using ANSYS mechanical APDL v.17.2. To verify the validity of the proposed method, the analytical findings were compared to ANSYS and other previous research. The static transverse deflection increases when the height and/or width of the beam decreases, and the rate of increase due to changes in both height and width is larger than that due to changes in either height or width alone. This new method of analysis is simple to use and yields accurate and reliable findings

Static Analysis, Non-Prismatic Beam, ANSYS, Finite Element Method, Euler-Bernoulli Theory.