Silencer is an integral part of the exhaust system. The silencer serves the function of noise and vibration reduction. The exhaust gases in the combustion chamber which are at temperatures of around 1200K are released to the atmosphere at around 323K. Temperature reduction takes place efficiently as the flue gases flow through the exhaust system. Apart from temperature loads, the exhaust system also carries pressure loads, acceleration load and load due to its self-weight. Modal analysis is carried out on the optimum geometry to determine its natural frequency to avoid the resonance. Fatigue analysis is further carried out on the geometry to determine the Life, Damage, Safety Factor, Equivalent alternating stress and Bi-axiality indication under extreme dynamic repetitive loading conditions.