my gosh Ken, you appear to be almost as stubborn as i am... i like that!

i wrote:

section modulus is moment divided by stress. moment is half the force(lb)
times half the distance(in).
the force is the weight of the water-filled pipe plus 250. the distance is
4ab/a+b.
the stress is 15,000.
for example:
 
4" S40 15 feet, center of 48" span:
16.4 x 15 = 246 + 250 = 496 x .5 = 248
4 x 24 x 24 = 2304 / 48 = 48 x .5 = 24
248 x 24 = 5952 / 15,000 = .3968

Brad

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