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The investigation presented in the paper focuses on the modal behaviour of transport airliner wings by applying the dynamic stiffness method with particular reference to the Wittrick-Williams algorithm. Essentially, the wing is idealised as an assembly of bending-torsional coupled beams for which the frequency dependent dynamic stiffness matrix is well established. A computer program is developed to obtain the natural frequencies and mode shapes of transport aircraft wings. Three representative wings with cantilever boundary conditions have been investigated in the first instance. Next, the bending and torsional rigidities of each of these three wings are varied and their subsequent effects on the natural frequencies and mode shapes are investigated. A detailed parametric study with the variations of bending and torsional rigidities shows some interesting results and trends which can be of practical help in the design of transport aircraft wings. The illustrative examples chosen for the baseline wings are representative of those of existing aircraft. The paper concludes with some salient remarks.