Based on the Euler-Bernoulli beam theory, analytical expressions for tension and vibration frequencies of hangers are established by considering the effects of bending stiffness, length, damping pad, additional mass, elastic support, adhesive sheath and environmental temperature. Firstly, a boundary influence coefficient method is put forward to. The boundary influence coefficients are calculated under different boundary conditions and a practical expression of suspender tension under boundary influence is given. Secondly, taking the Liujiang Yellow River Bridge as an example to verify. Finally, the results show that during the construction period, the maximum error of the long hanger is 1.10% and the middle and short hanger is no more than 1.12%, when the tension expression of the suspender is established under the influence of various factors is adopted; the maximum relative error of the hanger tension is no more than 2.38% when the suspender tension is calculated by the boundary influence practical expression. During the operation period, considering the influence of temperature, the computation accuracy under complex boundary conditions is increased by 11.39% and the accuracy of the calculation is improved by 11.38% using practical expression. The expression established by the boundary influence coefficient method is not only high accuracy, but also is an explicit form, which is convenient for engineering applications.