
OPS-3108 Rev E
A-3
Theory
API Recommended practice (2A-WSD) and Roark
1
states that cylindrical
members subject to combined axial compression and bending must meet
these requirements.
0
.
1
1
'
2
2
≤
−
+
+
b
e
by
bx
m
a
a
F
F
fa
f
f
C
F
f
And
0
.
1
6
.
0
2
2
≤
+
+
b
by
bx
y
a
F
f
f
F
f
Eq 1 & 2
When
15
.
0
≤
a
a
F
f
the following condition may be used instead
0
.
1
2
2
≤
+
+
b
by
bx
a
a
F
f
f
F
f
Since we are dealing with bending in a single plane
b
by
bx
f
f
f
=
+
2
2
The allowable axial compressive stress Fa is determined from the following –
assuming that
60
≤
t
D
(
)
(
) (
)
c
c
c
y
c
a
C
r
Kl
for
C
r
Kl
C
r
Kl
F
C
r
Kl
F
<
−
+
−
=
3
3
2
2
8
8
3
3
5
2
1
(
)
c
a
C
r
Kl
for
r
Kl
E
F
≥
=
2
2
23
12
π
Where
04
.
86
80
10
30
2
2
2
1
3
2
2
1
2
=
=
=
x
F
E
C
y
c
π
π
The allowable bending stress, Fb is determined from
Fy
t
D
for
F
F
y
b
1500
75
.
0
≤
=
y
y
y
b
F
t
D
F
for
F
Et
FyD
F
3000
1500
74
.
1
84
.
0
≤
<
−
=
1
Roark’s Formulas for Stress & Strain, Seventh Edition, Young & Budyna, Section 12.5
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