2. A pipe of length L is lifted by a sling, as shown in the figure. The outer diameter of the pipe is 150 mm, its wall thickness is 6 mm, and its weight density is 14.7 kN/m³. The length of the pipe is L= 12 m and the distance between the lifting points is s = 4 m. [Ignore axial forces]. a. Derive expressions for the shear force and bending moment along the pipe. b. Determine the maximum bending moment and the location(s) where this occurs. c. Determine the maximum bending stress in the pipe due to its own weight.

Question
2. A pipe of length L is lifted by a sling, as shown in the
figure. The outer diameter of the pipe is 150 mm, its wall
thickness is 6 mm, and its weight density is 14.7 kN/m³.
The length of the pipe is L= 12 m and the distance between
the lifting points is s = 4 m. [Ignore axial forces].
a. Derive expressions for the shear force and bending
moment along the pipe.
b. Determine the maximum bending moment and the
location(s) where this occurs.
c. Determine the maximum bending stress in the pipe due
to its own weight.
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Transcribed Image Text

2. A pipe of length L is lifted by a sling, as shown in the figure. The outer diameter of the pipe is 150 mm, its wall thickness is 6 mm, and its weight density is 14.7 kN/m³. The length of the pipe is L= 12 m and the distance between the lifting points is s = 4 m. [Ignore axial forces]. a. Derive expressions for the shear force and bending moment along the pipe. b. Determine the maximum bending moment and the location(s) where this occurs. c. Determine the maximum bending stress in the pipe due to its own weight.