The following indicates a situation which is recognised among experts: as a result of muscular strain, a nerve trapped in the lower spine or hip can lead to one sided pain in the penis - experts will often perform an MRI and then give electro treatment.
weight lifting causes atypical fracture
I have this pain long side my right penis, for about seven years. The first time I felt this pain, is when I was lifting 295 pound of weights on the bench press. I felt something pop in my penis. Then the pain is not as bad as it used to be. Sometime the pain goes away and comes back again. I have been seeing a urologist, however, I still have this problem.