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EXERCISE
CYLINDRICAL SHELLS
REMARKS
clamped edge
free edge
variables influence on:
- w = displacements
- Mx, Øx = flexural rotation
- Mz, Nz = membrane actions
h = vertical height to the mid-surface
c = distance to the center of the cylinder
g = tangent to the mid-surface belonging to a meridian line
equation
λ2
solution: application of of the effects involving a static field
wNO(x) + wN1(x)
with
wNO = without load → HOMEGENOUS INTEGRAL
wN1 = with load → PARTITIVE SOLUTION
and consequently:
e-αx
m1λ
ei
equilibrium equations
DATA R
open
buildings
- fluid on liquids (WATER)
the first step is to verify the hypotheses of long tube
with λ =
and R =
1st
distinguish/disregard reaction magnitude
it happens that the bending reaction capacity is greater than the flexural bending capacity
we need to evaluate these quantities:
- Hx = bending along meridian line
- Qx = shear along meridian line
- w0 = effort on clamped edge
each quantity has been yet computed some three human history constructions:
- d2
- starting phase amplitudes
- 5
- N = 2
rotation (γ)
amplitude multiplier
x1 renumerante equations
4
DISPLACEMENTS along z-axis
(6) We had declared 2P = bc since it
being rudimental, according to this topic of outline, have a predicted coefficient of influence
according to FLEXIBILITY METHOD.
5P = 2c = in l 2H = 2H
m1T = k
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