Civil Engineering Reference
In-Depth Information
300 mm
50 mm
2 φ 13
300 mm
400 mm
3 φ 13
50 mm
FIGURE 5.17
Example 5.11 showing the beam section tested by Arduini, Tommaso, and
Nanni (1997).
Solution:
The failure mode is unknown a priori. Assume ductile concrete crushing (tension
controlled). Ignore the compression steel for now:
d
=
350 mm
50 mm
=
d
t
d
=
t
f
d
h
=
400.09 mm
= +
f
2
π
××
2
13
3
4
ρ=
=
0.00379
s
300
×
350
f
f
d
d
340
30
350
400.09
y
Q
=ρ
=
0.00379
×
×
=
0.0376
s
1
cf
3
3
M
fbd
+Ψ−=
××
××
d
d
93.510 0
30
u
Q
=
φ
Q
2
1
f
2
300
400.09
2
cf
f
350
400.09
+
0.0376 0.85
−
=
0.06397
2
a
d
a
d
(
)
−− ×
20.208
0.0376
+
2.77
×
0.06397
=
0
f
f
2
a
d
a
d
−
1.992
+
0.1772
=
0
f
f
2
a
d
a
1.992
−
1.992
− ×
40.1772
=
=
0.0933
2
f
=
37.34 mm
β =
0.85
1
a
c
=
β
=
43.93 mm
1
(
)
0.003
400.09
43.93
×
−
3000
400000
ε=ε=
=
0.0243
>ε=
=
0.0075
f
fe
fu
43.93
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