Page 207 - Bridge and Highway Structure Rehabilitation and Repair

182 SECTION 2 STRENGTHENING AND REPAIR WORK

Step 5
V 3 V 4 V 4 V (AASHTO Section 5.8.3.3-1)
n
c
p
s
V 4 V 3 0.25 f1 b d 4 V (AASHTO Section 5.8.3.3-2)
p
s
v
c
c
v
V 3 0.083 f1 b d (AASHTO Section 5.8.3.3-3)
v
c
c
v
V 3 A f d (cot 0 4 cot ) sin /s (AASHTO Section 5.8.3.3-4)
v y
v
s
V 3 V /) 6 0.083 f1 b d v
s
v
v
u
c
Step 6
If A 3 200 mm 2
v
Calculate spacing from three conditions and select minimum
1. s A f d cot 0/V s
v
v y
Check for minimum spacing required by AASHTO
s A f /0.083 f1 b (AASHTO Section 5.8.2.5)
v
v y
c
2. s 0.8 d 600 mm if Vu : 0.1 f1 b d v
v
c
v
s 0.4 d 300 mm if V 0.1 f1 b d v
v
v
c
u
Step 7
Check adequacy of longitudinal reinforcement. If reinforcement given by AASHTO Section

5.8.3.5 is not satisfied, increase longitudinal or transverse reinforcement (stirrups).
A f M /d ) 4 (V /) 6 0.5 V ) cot 0
u
s
f
v
s y
u
v
Increasing V to satisfy
s
V 2 (V /) 6 [A f 6 M /d ) ] tan 0)
v
f
u
y
s
s
u
v
s A f d cot 0/V s
v
v y
M /d ) 4 (V /) 6 0.5 V ) cot 0
Increase A u v f u v s
v
f y
BIBLIOGRAPHY
Analysis and Design
ACI 318-89
Barker and Puckett, Design of Highway Bridges: An LRFD Approach, 2nd Edition, J. Wiley & Sons,
2006.
Benham, P. P. and F. V. Warnock, Mechanics of Solids and Structures, Pitman Publishing, 1973.
Boresi, A. P. and R. J. Schmidt, Advanced Mechanics of Materials, 6th Edition, J. Wiley & Sons, 2002.
Bridge Design Guidelines, Florida Department of Transportation, 2005.
Bridge Design Manual, New Jersey Department of Transportation (Sections 45 and 46 developed by
Mohiuddin Ali Khan).
Bridge Design Manual, 2005, New York State Department of Transportation.
Bridge Design Manual, 2005, Ohio Department of Transportation.
Brockenbrough, R. L. and B. G. Johnston, Steel Design Manual, U.S. Steel Corporation.
Design Manual, Part 4, Volume 1, Structures, Pennsylvania Department of Transportation.
International Handbook of Earthquake Engineering: Codes, Programs, and Examples (IHEE), Kluwer
Academic Publishers, 1995.
Khan, Mohiuddin Ali, “Elastic Composite Action in Slab-Frame Systems,” The Structural Engineer,
London, 1970.