Stresses in membrane walls
according to german norm stress analysis
Attention!
This calculation is only a simplified estimation and does not replace a detailed design calculation.
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Name
Value
Unit
Geometry:
Inner radius of the tube
r
i
mm
Outer radius of the tube
r
a
mm
Tube pitch of the membrane wall
t
mm
Thickness of the fin
s
F
mm
Material properties:
Elasticity modulus
E
N/mm²
Poisson's ratio
ν
Coefficient of thermal expansion
β
i
1/K
Loadings:
Inner pressure
p
i
bar
Temperature at the Point 1
θ
1
°C
Temperature at the Point 2
θ
2
°C
Temperature at the Point 3
θ
3
°C
Temperature at the Point 4
θ
4
°C
Temperature at the Point 5
θ
5
°C
Temperature at the Point 6
θ
6
°C
Temperature at the Point 7
θ
7
°C
Temperature at the Point 8
θ
8
°C
Temperature at the Point 9
θ
9
°C
Temperature at the Point 10
θ
10
°C
Additional external loads:
Additional longitudinal force
q
z
kN/m
Additional lateral force
q
x
kN/m
Additional bending moment
m
z
kN·m/m
Additional bending moment
m
x
kN·m/m
Reinforcement properies:
Carrying width of the tube wall
B
t
mm
Cross section of the reinforcement
A
B
mm²
Reinforcement middle temperature
θ
B
°C
Special case – round membrane wall:
Radius of the membrane wall
R
w
mm
Inside gas overpressure
p
gas
bar
Pendant mass
M
w
kg
Sketch
Additional options
Cover force caused by
p
i
loads the tube only
Transverse loads cause local stresses
Gas pressure
p
gas
does not cause cover force