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## Homework Statement

I have a 20' (240 inch) beam with supports at 0in., 80 in., 160 in., 240 in. I need to give the beam a rating (maximum load; capacity) since it is a monorail for a 3 ton hoist. I've asked the question to my prof (his work is attached).

## Homework Equations

I understand what the graphs represent (Bending moment due to dead load, and bending moment due to concentrated force) but I can't figure out he he got the max values (coefficients): ie.

**0.08***Wdl*l^2,

**0.1***Wdl*l^2,

**0.025***Wdl*l^2 and second graph..

**0.07**Pl,

**0.175**Pl,

**0.075**Pl

Also how does he know these act at the same position? Ie: M1, M2, M3 so that he can add them?

## The Attempt at a Solution

Attached.