Page 243 - Pressure Vessel Design Manual

Special Designs 221

Case 4: Uniform Vessel, Nonuniform Load 0 Nonunqom vessel

Case 8: Concentrated Lateral Load at Any Elevation
Case 5: Uniform Vessel, Triangular Load
L1
X=-
Load at base=O L
Load at top = w, lb/in.
0 For unqorm vessel.
5.5wL4
J=- WL3 3-x
3EI ( W )
60EI a=1-
Case 6: Nonuniform Vessel, Triangular Load
0 For nonunqorm vessels.
r;t
5.5w
J=GOE[EI,-E&]

I
I c= I I

Case 7: Concentrated Load at Top of Vessel

0 Unqorm vessel
Notes
WL3
d=- 1. This procedure calculates the static deflection of tall
3EI towers due to various loadings and accounts for the
following:
a. Different wind pressures at different elevations.
b. Various thicknesses, diameters, and moments of
inertia at different elevations.
c. Different moduli of elasticity at different elevations
due to a change in material or temperatures.
2. This procedure is not valid for vessels that are subject
to wind-induced oscillations or that must be designed
dynamically. See Procedure 4-8, “Vibration of Tall
Towers and Stacks” and Note 5 of Procedure 3-1 for
additional information regarding vessels in this cate-
gory.
3. Deflection should be limited to 6 in. per 1OOfi.
==I I I 4. Deflections due to combinations of various loadings
should be added to find the overall deflection.