Vector Statics question, hanging pipe

[cpmustang]

Homework Statement

My question is about the method used for calculation.
The problem reads:

There is a steel pipe of uniform size and density at a length of 31 ft. It's weight is 81 lbs. It is hung from a concrete deck with five concrete hangers. Measuring from one end of the pipe, the hangers are located at 1, 5, 18, 22, and 30 ft.

Calculate the force at each hanger.

Homework Equations

The Attempt at a Solution

I immediately want to start making formulas for the moments at each hanger location, but then there is a ton of algebra. Is there a simple method to do this?

 

[nvn]

That is an admirable way of thinking, and is a good approach to use whenever possible. However, in the given problem, you have five unknowns, but only two static equilibrium equations, right? Hint: Do you think they might want you to use an approximate method to estimate the approximate force on each hanger?