Module 6 : Design of Tall Vessels

Lecture 5 : Solved Problem

 

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Weight of plates -

Plate area =

weight of plate = 1.2 × 4.9 = 5.9 KN

for 100 plates = 100 × 5.9 = 590 KN

Weight of insulation -

wall density = 130 kg/m3

volume of thickness =

 

Weight = 26.38 × 130 × 9.81× 10-3 = 33.64 KN

double this to allow for fittings = 66 KN

total weight = 602 + 590 + 66 KN = 1258 KN

 

Wind loading:

Dynamic wind pressure = 1280 N/m2

Mean diameter, including insulation = 2.5 + 2(14 + 70)10-3 = 2.668 m.

loading = Fw = 1280 × 2.668 = 3415.04 N/m

Bending moment at bottom = Mx = (3415.4/2) 602 = 614707.2 Nm

   

Stress Analysis:

Stress due to pressure at bottom

 

Dead weight of stress

 

Bending stress = Do = 2500 + 2 × 18 = 25336 mm

 

The resulting longitudinal stress is:

fb (upward) = 34.72 – 8.83 + 64.06 = 94.95 N/mm

fb = (downwind ) = 34.72 – 8.883 – 69.06 = - 43.17 N/mm2

The greatest difference between the principle stress will be on the down wind side:

69.44 – (-43.17) = 112.61 N/mm2