Paper No. 6571 FOUNDA'I'JONVIBRATIONS bY Tso Kung Hsieh, Ph.D., A.M.I.C.E. Chief Designer, Planning Department, George Wimpey & Co. Ltd. For written discussion SYNOPSIS The Paper presents a method of calculating the amplitudes of vibration of a foundation restingdirectly on soil.Sucha foundationhas six degreesof freedom.Usuallythese are coupledtogether. Equationsare presented for analysing these coupled modes vibration in quantitative detail. of INTRODUCIION INdesigning a foundation to carry a static load, it is now generally appreciated that it is not only necessary ensure that the ground will carry the loading withto out the risk of shear failure, but it is also essential to estimate the amount of displacement expected under the loading...