Coachk:
Grinnell has a table in their "Piping Design and Engineering" book which gives pipe spans for pipe filled with water. The limiting factors are 1500PSI combined bending and sheer stress and max .1"deflection.
size/ft are as follow

since you have spans up to 12"

12"/23'; 14"/25'; 16"/27'; 18"/28'; 21"/30'; 24"/32'; 26"/33'; 28"/33' 30"/34'; 36"/35'
This is for straight runs with no concentrated loads. If there are changes in direction the spans should be less than 3/4 of the values shown in the table. Concentrated loads should be supported indivudually without regard for the spans table.
Spans for other conditions, such as, more dense fluid or gas can be calculated from the formulas given by Hookem and from the criteria stated above.
If horizontal movement is present the hanger rod should be long enough so the angle of the rod will not deviate from vertical more than 4DEg. It it does uplift will occur and put additional forces on the hanger. If the movement will cause a deviation of the hanger rod more than 4Deg rollers should be employed so the pipe can roll through the hanger without displacing it.
If vertical movement is present spring hangers should be employed so the support will move with the pipe. If the support does not move upward with the pipe, the pipe will lift off the support. This will cause excessive deflection of the pipe and additional forces imposed on adjacent hangers.
If the pipe moves down excessive forces will be transfered to the non-moving hanger and the pipe will lift off adjacent hangers.
The transfer of forces when the pipe moves will also cause excessive stress in the pipe itself. This may cause the hangers or pipe itself to fail.