I find the symphonies of both composers have the same feeling/intensity both composers use very simple themes and build around them a web of sound that appeals to me. Just a couple of interesting things I found on the www last night.
Listen to Susan interview conductor Semyon Byshkov about the connection between Beethoven and Shostakovich.Scroll down to the 2nd listen
http://wrti.org/post/shostakovich-and-beethoven-and-power-music
Also: The relationship between Beethoven and Shostakovich.