I am trying to model a bridge and the train which is passing over the bridge. I wanna know what would be differences between the "static" and "dynamic" modeling?
In Static Sum of the forces F= 0 However, in Dynamics F= Mass in to Acceleration. If you model the bridge and you pass the train through it. In case you consider static only you will design the bridge for the deadloads. However, in case of dynamics you will need to check the performance of the bridge with the train having different velocities. In different velocities of the train the frequencies of the bridge and train may much and as results the responses of the bridge would be increased. You can use SAP2000 to model the bridge and understand the basics.
Yes it does. You can read this book (A First Course in the Finite Element Method Hardcover – Import, 15 Apr 2010 by Daryl L Logan (Author), Martin Logan (Author)).
Assume the bridge as beam with moving load. There are formulations how to solve. The stress calculation is solved.