Environmental Engineering Reference
In-Depth Information
a) Symmetrical loads:
N R ; Gk ¼ D
n R ; Gk r R
M R ; Gk ¼ m R ; Gk þ D
r R
m R ; Gk
V R ; Gk ¼ 0
T R ; Gk ¼ 0
b) Antisymmetrical loads:
N R ; QW ; k ¼ 0
M R ; QW ; k ¼ m R ; QW ; k þ D
r R b cos
m R ; QW ; k
w
b sin
V R ; QW ; k ¼ v R ; QW ; k h R m R ; QW ; k þ D
m R ; QW ; k
w
r R
T R ; QW ; k ¼ m R ; QW ; k þ D
m R ; QW ; k
ð
1 b
Þ sin
w
where
E I B
E I B þ G I T
b ¼
4.10.5 Load on circular ring beam at ultimate limit state
The design values of the internal forces (N R,Ed ;M R,Ed ;V R,Ed ;T R,Ed ) are determined using
the same design load cases as for the deformation calculation (see Section 4.7.1). The
permanent loads for an unfavourable effect (
g G,unf ¼ 1.35) are critical for the resultant load:
a) External loading:
n R ; Ed ¼ 1
:
35 D
n R ; Gk
þ 1
m R ; Ed ¼ 1
:
35 m R ; Gk þ D
:
35 ð or 1
:
50 Þ m R ; QW ; k þ D
m R ; Gk
m R ; QW ; k
v R ; Ed ¼ 1
:
35 ð or 1
:
50 Þ v R ; QW ; k
b) Internal forces:
N R ; Ed ¼ 1
:
35 N R ; Gk
M R ; Ed ¼ 1
:
35 M R ; Gk þ 1
:
35 ð or 1
:
50 Þ M R ; QW ; k
V R ; Ed ¼ 1
:
35 ð or 1
:
50 Þ V R ; QW ; k
T R ; Ed ¼ 1
:
35 ð or 1
:
50 Þ T R ; QW ; k
c) Internal forces related to the layers of reinforcement:
N R ; Ed ¼ 1
35 N R ; Gk
M s1 ; Ed ¼ M R ; Ed N R ; Ed
:
z R ; 1 d R ; 1
M s2 ; Ed ¼ M R ; Ed þ N R ; Ed
z R ; 2 d R ; 2
 
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