HomeMy WebLinkAboutX2012-0977 - Calcs (3):4
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8/13/2012 P'n B,fta - by'
Designed: VR �C,v 1!
Island Hotel, Newpori` AZkz-
Beam & Column Strengthening
1.0 DESIGN GOAL
Calculate the shear capacity provided by adding the Tyfo SCH-41 System to the existing beam and column sections as
required by Ficcadenti and Waggoner. Refer to bid documents dated 4/27/2012 Sheet 52.1 and 4/53.2.
2.0 MATERIAL PROPERTIES
Tyfo SCH-41 Svstem
Ef := 11900ksi
efu := 0.0085
ffu := 120ksi
0 := 0.75
tf := 0.04in
Concrete Properties:
fe := 2.5ksi
fc
Ec := 57000psi —
psi
Design elastic modulus, E.S.R, 2103
Ultimate design strain, E.S.R. 2103
Ultimate design stress, E.S.R. 2103
Shear strength reduction factor, ACI 318
Thickness per layer
Assumed concrete strength
Ec = 2850 ksi Assumed existing concrete modulus
3.0 CALCULATIONS- BEAM STRENGTHENING WITH THREE LAYERS OF THE TYFO SCH-41
SYSTEM
Bearn Dimensions
h := 36in Overall beam depth
d := 33in Assumed effective depth to steel reinforcement
hs := 8in Assumed depth of slab
Fiber Strin Properties
w f := 12 in Width of f berwrap
of = 12-in Center to cent6 spacing of remffireement- fu,ll'eoverage
n := 3 Number of layers to be used
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FCJ # 14050�di
8/13/2012
Designed: VR
Bond Modification and Reduction Factors
0.85 Reduction factor for three sided applications
' (Fyfe Design manual rev. 9, pg 20)
dv := d — hs dv = 25-in Fiber effective depth
L = 2500 Le = 0.673 Active bond length
(
e n.�f)
E 0.58 (Fyfe Design manual rev. 9, pg 20)
2
f 3
k 40c k 0.731 Modification factor for concrete strength
1 00 1 (Fyfe Design manual rev. 9, pg 20)
k2 = QVLA Le) k2 = 0.973 Modification factor for wrapping scheme
dv (Fyfe Design manual rev. 9, pg 20)
L e
kv = k1 k2
�468&e'fu
kv = 0.12
Bond reduction coefficient must be less than 0,75 (Fyfe
Design manual rev. 9, pg 20)
Shear Calculation
Efe := (kv Efu)
efe = 0.001
Effective strain (Fyfe Design manual rev. 9, pg 20)
Afv := 2'n'tf-wT
Afv = 2.88in
Effective area of fiberwmp, 2 sides of wrap at
areas where intersecting beam does not intercept
ffe '= Efe Ef
ffe = 12.18'ksi
Effective stress in 'fiberwrap
(Fyfe Design manual rev. 9, pg 20)
0' (*-Afv'tfe'dv)
a�Vf'
Additional shear capacity provided by composite
sF
(Fyfe Design manual rev. 9, pg 19)
OVp = 46.6 kip
Therefore, three layers of the Tyfo
SCI3-41 System, full
coverage, oriented in a u-wrap will provide 46.6kip of shear
capacity at areas where the beans does not intersect.
FCJ # 14050 213
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Column Dimensions
h := 24in
Fiber Strip Properties
wf:=12in
st, := 12 in
n := 1
Reduction Factors
* := 0.95
Shear Calculation
Efe := min (0.004, Efu) E'fe = 0.004
Overall column depth
Width of fiberwrap
Center to center spacing of reinforcement
(full coverage)
Number of layers to be used
Reduction factor for column shear
(Fyfe Design manual rev. 9, pg 12)
Effective design strain
(Fyfe Design manual rev. 9, pg 11)
Afv := 2.rvtf-wf Afv = 0.96-in2 Effective area of fiberwrap
ffe := Efe'Ef ffe = 47.6d<si Effective stress in fiberwrap
(Fyfe Design manual rev. 9, pg 11)
$Vf :_ 0 (*'Afv' fFe' dV)
sf
cpV f = 67.8 kip
8/13/2012
Designed : VR
Additional shear capacity provided by composite
(Fyfe Design manual rev. 9, pg 11)
Therefore, one layer of the Tyfo SCH-41 System, full coverage, oriented in the transverse direction, will provide 67.8kip
in -plane shear capacity.
5.0 CONCLUSIONS
• Applying three layers of the Tyfo SCH-41 System, full coverage, oriented vertically in a U-shape to the existing beai
provides 46.6kip of additional shear capacity.
• Applying one layer of the Tyfo SCH-41 System, full coverage, oriented transversely to the column provides 67.8kip
of additional shear capacity.
See shop drawings for fiber configuration.
6.0 REFERENCES
1. ICC (AC125) Acceptance Criteria for Concrete and Reinforced and Unreinforced Masonry Strengthening Using Externa:
Bonded Fiber -Reinforced Polymer (FRP) Composite Systems, March 2olo.
2.. ACI 440.2R-08. Guide for the Design and Construction of Externally Bonded FRP Systems for Strengthening Concrete
Structures.
3. Fyfe Company Design Manual Rev. 9, 2010
FCJ # 14050 3/3