| D | internal diameter of a derrick cylinder |
| lB | Initial length before boom extension |
| lB 1 | distance from point O to the center of mass of the first boom |
| lB 2 | distance from point O to the center of mass of the second boom |
| ldl | distance after the derrick cylinder extends |
| ldl_i | initial distance before the derrick cylinder extends |
| lTR | distance from point O to the center of mass of a telescopic cylinder (rod) |
| lTS | length after boom extension |
| lTT | distance from point O to the center of mass of a telescopic cylinder (tube) |
| MB | moment of force caused by the boom’s own weight |
| MD | moment of force caused by the derrick cylinder’s own weight |
| O | rotation center of the boom |
| P | center point connecting a derrick cylinder with a boom |
| R | rotational radius of a derrick cylinder |
| W | lifting load of a cargo crane |
| WB 1 | weight of the first boom |
| WB 2 | weight of the second boom |
| Wmax | maximum lifting load of a crane |
| Wmax_bc | best-fit curve of the maximum lifting load |
| WTR | rod weight of a telescopic cylinder |
| WTT | tube weight of a telescopic cylinder |
| α | assembly angle of a derrick cylinder |
| β | angle between the centerline of the derrick cylinder and an imaginary line connecting points o and p |
| ΔP | tube pressure of a derrick cylinder |
| θ | luffing angle of the boom |
| θ 1 | luffing angle variable to find the maximum lifting weight |
| θc | luffing angle at which the boom can descend the lowest based on its current angle |
| θnew | luffing angle of the boom measured in real time |