The　stochastic　finite　element　method　is　employed　to　obtain　a　stochastic　dynamic　model　of　angled　beams　subjected　to　impact　loads　when　uncertain　material　properties　are　described　by　random　fields.　Using　the　perturbation　technique　in　conjunction　with　a　precise　time　integration　method,　a　random　analysis　approach　is　developed　for　efficient　analysis　of　random　elastic　waves.　Formulas　for　the　mean,　variance　and　covariance　of　displacement,　strain　and　stress　are　introduced.　Statistics　of　displacement　and　stress　waves　is　analyzed　and　effects　of　bend　angle　and　material　stochasticity　on　wave　propagation　are　studied.　It　is　found　that　the　elastic　wave　correlation　in　the　angled　section　is　the　most　significant.　The　mean,　variance　and　covariance　of　the　stress　wave　amplitude　decrease　with　an　increase　in　bend　angle.　The　standard　deviation　of　the　beam　material　density　plays　an　important　role　in　longitudinal　displacement　wave　covariance.