Page 301 - Advanced Design Examples of Seismic Retrofit of Structures

290 Advanced Design Examples of Seismic Retrofit of Structures

αωL 2
Δ s ¼ (5.3)
8AG
where:
ω ¼uniform distributed load;
E ¼Young’s modulus of material;
I ¼moment of inertia of the section;
α ¼form coefficient;
A ¼diaphragm’s cross-sectional area; and
G ¼shear modulus of the section.
The diaphragms should be designed for the inertial force F pi based on Eq.
(5.4).
X n
F j
j¼i
F pi ¼ X n W i (5.4)
W j
j¼i
where:
F j ¼lateral force acting on the jth story;
W j ¼weight of the jth story; and
W i ¼weight of the jth story.
For the main building we have:

ð
t ¼ 11 cmÞ
H ¼ 1510 cmÞ
ð
L ¼ 3130 cmÞ
ð
ð
h ¼ 900 cmÞ
l ¼ 2160 cmÞ
ð
2
A x ¼ t L ¼ 11 3130 ¼ 34430 cmð Þ
2
A y ¼ t h ¼ 11 900 ¼ 9900 cmð Þ
Δ Diaphragm XðÞ ¼ 11:06 cmð Þ
Δ Diaphragm YðÞ ¼ 4:04 cmð Þ

kg
G ¼ 12512:5
cm 2
kg

6
E ¼ 2:1 10
cm 2
F 1PxðÞ ¼ 1549:68 TðÞ
F 1PyðÞ ¼ 1224:82 TðÞ
1549:68 10 3 kg f
F 1PXðÞ ¼ ¼ 1026:27
1510 cm
1224:82 10 3 kg f
F 1PYðÞ ¼ ¼ 391:31
3130 cm
11 3130 3 4
I X ¼ ¼ 28108938916:67 cm
12
11 900 3 4
I Y ¼ ¼ 668250000 cm
12