In this study,analytical relations for evaluating the exact solution of natural frequency and mode shape of beams with embedded shape memory alloy(SMA)wires are presented.Beams are modeled according to Euler-Bernoulli,Timoshenko and third order beam(Reddy)theories.A relation is obtained for determining the efect of axial load generated by the recovery action of pre-strained SMA wires.By defining some dimensionless quantities,the efect of diferent mechanical properties on the frequencies and mode shapes of the system are carefully examined.The efect of axial load generated by SMA wires with buckling load and frequency jump is accurately studied. In this study, analytical relations for evaluating the exact solution of natural frequency and mode shape beams with embedded shape memory alloy (SMA) wires are presented.Beams are modeled according to Euler-Bernoulli, Timoshenko and third order beam (Reddy) theories. A relation is obtained for determining the efect of axial load generated by the recovery action of pre-strained SMA wires.By defining some dimensionless quantities, the efect of diferent mechanical properties on the frequencies and mode shapes of the system are carefully examined. Efect of axial load generated by SMA wires with buckling load and frequency jump is accurately studied.