Help on stress analysis, this is an example of stress analysis on a pressure vessel. The question is, what would the diagrams look like if the values for the stress were the following? And what would be the final answer?
σh = 16 N/mm2
σL = 8 N/mm2
σw = 0.4 N/mm2
σb = 0.3 N/mm2
σz (upwind) = 7.9 N/mm2
σz (downwind) = 7.3 N/mm2
1.0 2 103 OL = 27.8 N/mm
4 18 1 2 103 O = 55.6 N/mm2
2 18
Dead weight stress:
W = 842 103 = D + 1 (2000 + 18) 18 = 7.4 N/mm2 (compressive)
Bending stresses:
D = 2000 + 2 18 = 2036 mm
I = (2036^4 - 2000^4) = 5.81 * 10^10 mm^4
F = 3,487,500 103 / 2000
F = 40 5.81 * 10^10^2 = 61.1 N/mm
The resultant longitudinal stress is:
(upwind) = 27.8 = 7.4 + 61.1 = +81.5 N/mm2
(downwind) = 27.8 = 7.4 = 61.1 = 40.7 N/mm2
As there is no torsional shear stress, the principal stresses will be σ1, σ2, and σ3.
The radial stress is negligible, (P;/2) = 0.5 N/mm2.
81.5
40.7
55.6
55.6
Up = wind
Down = wind
The greatest difference between the principal stresses will be on the down-wind side (55.6 - 40.7) = 96.5 N/mm2.
