Pre-stressed Pre-stressed Concrete Beam Beam Design© According to the ECP 203-2017
Ver. 1.0 Please send your comments & suggestions to improve this tool on
[email protected]
by Mahmoud M. El-Kateb, Ph.D
Structural Engineering Dept. Faculty of Engineering - Ain Shams University
Titles you can't find anywhere else
Try Scribd FREE for 30 days to access over 125 million titles without ads or interruptions! Start Free Trial Cancel Anytime.
Titles you can't find anywhere else
Try Scribd FREE for 30 days to access over 125 million titles without ads or interruptions! Start Free Trial Cancel Anytime.
Titles you can't find anywhere else
Try Scribd FREE for 30 days to access over 125 million titles without ads or interruptions! Start Free Trial Cancel Anytime.
Pre-stressed Concrete Beam Design according to ECP 203-2017
By: Dr. Mahmoud El-ate!
"ersion 1.0
* Materia !ro!erties " Ao#a$e stresses * Pro%ect &
+oncrete
f cu 7
40 MPa
Stressing after
! days
+oncrete
"! MPa
f cui 7
Normal Portland cement 1 8ecommended f cui 7
!" # $
"# MPa
%()*+ ),- . / 01 / 01 # 2 %, 1 5 1 5 % & #
Prestressing case
9:;<= ;>?A BCDCEFA G 9CH Incracked state
Structural element
$ther elements than flat slab
:
%lloable stresses in concrete 'in MPa( +ompressive stress
-ensile stress
Clause 5-3-2-1
)nitial stage
*orking stage
,"
,4
under sustained loads
,4 at simply supported ends
,#
under full loads
,., "." at simply supported ends
Strand Iltimate strength f pu 7
,/#0 MPa
Strand JoungKs modulus Lp 7
,#1000 MPa
Strand type Strand Jield stress -ype of tendons
!" # %
./
2o rela3ation stress relieved strands f py 7
,#54 MPa 6onded
Nor Rapid
Titles you can't find anywhere else
Try Scribd FREE for 30 days to access over 125 million titles without ads or interruptions! Start Free Trial Cancel Anytime.
Titles you can't find anywhere else
Try Scribd FREE for 30 days to access over 125 million titles without ads or interruptions! Start Free Trial Cancel Anytime.
Pre-stressed Concrete Beam Design according to ECP 203-2017
By: Dr. Mahmoud El-ate!
"ersion 1.0
Ma3imum acking stress 7
,!
MPa
Clause 5-3-2-2
Titles you can't find anywhere else
Try Scribd FREE for 30 days to access over 125 million titles without ads or interruptions! Start Free Trial Cancel Anytime.
Titles you can't find anywhere else
Try Scribd FREE for 30 days to access over 125 million titles without ads or interruptions! Start Free Trial Cancel Anytime.
Pre-stressed Concrete Beam Design according to ECP 203-2017
By: Dr. Mahmoud El-ate!
"ersion 1.0
* 'osses in !restressing * Pro%ect &
0
+oncrete
f cu 7
40 MPa
Lc 7
"51/"/
MPa
+oncrete
f cui 7
"! MPa
Lci 7
""1000
MPa
Structural element
$ther elements than flat slab
Strand Iltimate strength f pu 7
,/#0 MPa
Strand JoungKs modulus Lp 7
,#1000 MPa
Strand type Strand Jield stress
2o rela3ation stress relieved strands f py 7
-ype of tendons
,#54 MPa 6onded
)N)-)%2 2$SSLS Clause 5-3-4-2-1
%nchorage slip losses rain 7 > mm D f pset C 58.7 ?Pa
7
4.2%
Clause 5-3-4-2-2
Llastic shortening losses Prestressing system f pci C 3.5 D f pe C 31.3
Oriction losses
Pre#tension ?Pa ?Pa 7
2.2%
Clause 5-3-4-2-3
Normal ducts @oAAle coeffB C 0.0033 -ype of ducts 6eam span 7 20.00 m -otal eccentricity 7 DBEE m FaAle length C 20.04 m FaAle radius of curGature C 91.2 m HDBDI m istance from acking end to calculated section 7 'riction coeffB C 0.25 'riction of steel Jith lead
Titles you can't find anywhere else
Try Scribd FREE for 30 days to access over 125 million titles without ads or interruptions! Start Free Trial Cancel Anytime.
Titles you can't find anywhere else
Try Scribd FREE for 30 days to access over 125 million titles without ads or interruptions! Start Free Trial Cancel Anytime.
Pre-stressed Concrete Beam Design according to ECP 203-2017
By: Dr. Mahmoud El-ate!
"ersion 1.0
* 'osses in !restressing -)ML LPLN%N- 2$SSLS Clause 5-3-4-3-1
Shrinkage losses Shrinkage strain D f psh C
7
sh
58.8
KL#D; ?Pa
7
4.2% Clause 5-3-4-3-2
+reep losses f C
f csM C f csdM C f cs C D f pcr C
2 9.2 1.2 8.0 112.7
?Pa ?Pa ?Pa ?Pa
7
8.1% Clause 5-3-4-3-3
+able rela3ation losses f pi C 4H C D f pr C
1222
?Pa
45
?Pa
7
1%&
?Pa
7
13.3$
301
?Pa
7
2'.%$
14.7
1.1%
-)ML LPLN%N- 2$SSLS 7
-$-%2 2$SSLS 7
Titles you can't find anywhere else
Try Scribd FREE for 30 days to access over 125 million titles without ads or interruptions! Start Free Trial Cancel Anytime.
Titles you can't find anywhere else
Try Scribd FREE for 30 days to access over 125 million titles without ads or interruptions! Start Free Trial Cancel Anytime.
Pre-stressed Concrete Beam Design according to ECP 203-2017
By: Dr. Mahmoud El-ate!
"ersion 1.0
* Design o( Pre-stressed $eams * Pro%ect &
0
+oncrete f cui 7 Strand
f pu 7
"!
MPa
,/#0
MPa
)nitial losses 7
,"
+oncrete fcu 7
Q
40
MPa
Steel 8O- fy 7 400
MPa
-otal losses 7
"4
Q
imensions FompB Qone SH 6, 7
HDDD
mm
ts, 7
IDD
mm
b7
;DD
mm
h7
HDDD
mm
6" 7
HDDD
mm
ts" 7
IDD
mm
+over 7
HED
mm
to prestressting caAles
+over + 7
ED
mm
to traditional R'7
tsH a NB A
h
tsI
s
F SI
7ensionB Qone
Straining actions )nitial stage *orking stage
Mead 7 HIDD 4NBm Mma3 7 IDD 4NBm Mmin 7 IIDD 4NBm Msustained 7 I>DD 4NBm
Prestressing Prestressing data Ma3. eccentricity 7
550
mm
irection of momentO Positive moment
Titles you can't find anywhere else
Try Scribd FREE for 30 days to access over 125 million titles without ads or interruptions! Start Free Trial Cancel Anytime.
Titles you can't find anywhere else
Try Scribd FREE for 30 days to access over 125 million titles without ads or interruptions! Start Free Trial Cancel Anytime.
Titles you can't find anywhere else
Try Scribd FREE for 30 days to access over 125 million titles without ads or interruptions! Start Free Trial Cancel Anytime.
Pre-stressed Concrete Beam Design according to ECP 203-2017
By: Dr. Mahmoud El-ate!
"ersion 1.0
* Design o( Pre-stressed $eams P ack 7
2934
4N
+heck of stresses f top 7
)nitial stage
-2.4
?Pa Compression %lloble value 7
f bot 7
*orking stage
f top 7
-4.1
-6.6
?Pa
(a)e
%lloble value 7 -12.0 ?Pa
(a)e
?Pa Compression
?Pa Compression
min. case
%lloble value 7 f bot 7
f top 7
1.0
-9.3
1.1
?Pa
(a)e
%lloble value 7 -16.0 ?Pa
(a)e
3.8
?Pa Tension
?Pa Compression
ma3. case
%lloble value 7 -16.0 ?Pa f bot 7
3.8
?Pa Tension %lloble value 7
f top 7
-8.2
2.6
?Pa
(a)e
%lloble value 7 -14.0 ?Pa
(a)e
3.8
?Pa Compression
sustained case f bot 7
(a)e
?Pa Tension %lloble value 7
3.8
?Pa
(a)e
Prestressing Prestressing cables ReUuired tendons C 2103 mmI use ; caAles %ctual P ack 7 3125 4N
Clause 5-3-2-2
4
HEBImm # DB>V each % ctual Pinfinity 7 --> f
2375 4N
Titles you can't find anywhere else
Try Scribd FREE for 30 days to access over 125 million titles without ads or interruptions! Start Free Trial Cancel Anytime.
Titles you can't find anywhere else
Try Scribd FREE for 30 days to access over 125 million titles without ads or interruptions! Start Free Trial Cancel Anytime.
Pre-stressed Concrete Beam Design according to ECP 203-2017
By: Dr. Mahmoud El-ate!
"ersion 1.0
* Design o( Pre-stressed $eams for ZBZ X EBD 4N
1 Mu from case of
M u 50% o! "endons $
needed s C No need mmI s min C 1600 mmI
[ DBIE Z C H>DD 4NBm 4NBm 1964 Safe1 use min traditional 8Ouse ### f H> 8 f H> use
+heck of shear stress Shear force R u 7 Shear force R d 7 +able inclination 7 \hear stress Uu 7 Uci C UcJ C Ucu uncrac4ed C Ucu crac4ed C use stirrupsO
H>DD EDD ID
Clause 5-3-3-4
2.71
4N and corresponding 4N and corresponding degrees Jith Aeam aY aYis Uu maY N
1.43 7 f
N
3.20 2.85 2.71
;
Aranches
Mu 7 I=DD 4NBm Md 7 =DD 4NBm at serGice load leGel Lccentricity at sec. 7 EED mm Safe
Needs stirrups
