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This document provides information about the design of an interior beam, including: 1) Beam dimensions, properties, and design stresses for concrete and steel. The beam is 7.025m long with a depth of 500mm. 2) Gravity loads on the structure including concrete weight and live loads. 3) Calculations of section properties and stresses due to prestressing and permanent loads, showing the stresses are less than allowable values. 4) Details on prestressing including number and size of cables, prestressing force, and losses over time.
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0% found this document useful (0 votes)
104 views30 pages

Inverted T

This document provides information about the design of an interior beam, including: 1) Beam dimensions, properties, and design stresses for concrete and steel. The beam is 7.025m long with a depth of 500mm. 2) Gravity loads on the structure including concrete weight and live loads. 3) Calculations of section properties and stresses due to prestressing and permanent loads, showing the stresses are less than allowable values. 4) Details on prestressing including number and size of cables, prestressing force, and losses over time.
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as XLSX, PDF, TXT or read online on Scribd
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I. REFERENCES IV.

BEAM/GIRDER INFORMATION
NATIONAL STRUCTURAL CODE OF Beam designation: LINE 15 (@K-L)
THE PHILIPPINES Beam classification: Interior Beam
Section Location: Midspan
II. GRAVITY LOADS Length, L = 7.025 m
Flange width,Bf = 1.688 m
Conc. Unit Wt. = 23.6 kN/m3 S1 = 1.350 m
SDL = 2.4 kPa S2 = 1.525 m
Wt. Of Slab = 3.1 kPa
t = 130.0 mm
Least of:
Live Load = 1.9 kPa L/4 = 1.756 m
= 0.0 kPa 16t + bw = 2.330 m
S1/2 +S2/2 +bw = 1.688 m
III. DESIGN STRESSES

Concrete:
At release of prestress:
fci = 35.0 MPa Flange thickness, Ft = 0.130 m
0.6 fci = 21.0 MPa Beam/Girder depth, d = 0.500 m
0.25 √fci = 1.5 MPa Beam/Girder width, bw = 0.250 m

At service condition:
f'c = 35.0 MPa
0.45 f'c = 15.8 MPa
0.62 √f'c = 3.7 MPa

Modulus of Elasticity of Concrete 1688


Ec, 4700 √f'c = 2.78E+04 MPa
Ecir, 4700 √fcir = 2.78E+04 MPa
500 A 130

Deformed bars:
B
Fy = 413.0 MPa

Prestressing steel: 250


fpu = 1860.0 MPa
fj, 0.8fpu = 1488.0 MPa
Ep = 1.93E+05 MPa
Area of cable for 12mmΦ, V. SECTION PROPERTIES
Aps = 98.71 mm2

SHAPE A SHAPE B
Assumed values for friction loss (Type of duct: Bright, metal sheathing)
K = 0.00656 K/m
Width 1688 Width 250
μ = 0.3

Depth 130 Depth 370

Area 219375 Area 92500

y 435 y 185

AreaA*y 9.54E+07 AreaB*y 1.71E+07

IA 3.09E+08 IB 1.06E+09

AreaA*d2 1.21E+09 AreaB*d2 2.86E+09

Total Area = 311875.00 mm2

Area*y = 1.13E+08 mm3

I = 1.36E+09 mm4

Area*d2 = 4.07E+09 mm4

Yt = 139.1 mm

Yb = 360.9 mm
Project: Proposed Three-Storey Residences Designed by:
Location: 27, 8th Street, New Manila, Quezon City Checked by:
Client:

IN.A. = 5.43E+09 mm4 -Mtotal -P +Pe


db + + = -3.01 Mpa
ST = 39028825.60 mm3
Sb A Sb

SB = 1.50E+07 mm3

Eccentricity at section = 0.0 mm -3.01 < -15.75 SAFE.

Dist. Of cable from ext fiber = 139.1 mm

VII. CONSIDERING LOSSES

VI. CHECKING OF STRESSES (PRESTRESS + PERMANENT)

MDL = 40.0 Knm


Time Dependent Losses = 277.0 Mpa
Net Prestressing force, Fnet = (Fj - ∑Losses) (Acables)
Fnet per cable = 110.00 KN

Fnet = ( 1488 - 277 ) ( 98.71 )


No. Of cables = 1.0 pcs
= 119.5 KN

###DUE TO GRAVITY LOADS Prestressing force at release:

Fi = (Fj - FR) (Acables)


+Mtotal 40.0
dt
= = = 1.02 Mpa Fi = 143.5 KN
St 3.90E+07

1.0 DUE TO PRESTRESS AT RELEASE


-Mtotal -40.0
db
= = = -2.66 Mpa
Sb 1.50E+07 -Pi (Pi)e
dt = +
A ST
2.0 DUE TO PRESTRESS LOADS
-1.44E+05 0.00E+00
dt = + = -0.46 Mpa
-P -Pe 311875.0 3.90E+07
dt = + =
A St

-110000.0 0.0 - Pi -(Pi)e


dt = + = -0.35 Mpa db = +
311875.0 39028825.6 A Sb

-1.44E+05 0.0
db = + = -0.46 Mpa
-P +Pe 311875.0 15049934.8
db = + =
A Sb
2.0 DUE TO GIRDER WEIGHT

-110000.0 0.0
db + = -0.35 Mpa +Mtotal -133.00
311875.0 15049934.8 dt = = = -3.4077
St 3.90E+07

3.0 COMBINED STRESSES (SERVICE DEAD)


-Mtotal 133.0
db = = = 8.8 Mpa
+Mtotal -P -Pe Sb 1.50E+07
dt = + + = 0.67 Mpa
St A St

0.67 < 3.67 SAFE.


Project: Proposed Three-Storey Residences Designed by:
Location: Checked by:
Client:

VII. CHECKING OF STRESSES (PRESTRESS + SVC LOADS) VIII. CHECK ULTIMATE MOMENT CAPACITY

MSVC = 40.0 Knm


Aps (TOTAL) = (ncables) (Aps)
Fnet per cable = 110.00 KN
Aps (TOTAL) = 98.7 mm2
No. Of cables = 1.0 pcs

fpu = 1488.0 MPa

###DUE TO DEAD LOAD AND LIVE LOAD

Dtotal = 500.0 mm
+Mtotal 40.0
d = 360.9 mm
dt
= = = 1.0248835 Mpa
St 3.90E+07

Depth of rectangular stress block:

-Mtotal -40.0
Aps (fpu) ( 98.71 ) ( 1488 )
db
= = = -2.66 Mpa a = =
0.85f'cb 0.85 ( 35 ) ( 1687.5 )
Sb 1.50E+07

a = 2.9 mm < tflange

2.0 DUE TO PRESTRESS LOADS


Aps ( 98.71 )
ρ = = = 0.00016
bd ( 1687.5( )360.851703406814 )
-P -Pe
dt = + =
0.28 (fpu) (ρ)
A St fsu = fpu (1 -
β fc' )
0.28 * 1488 * 0.00016
-110000.0 0.0 fsu = 1488 (1 - )
0.81 * 35
dt = + = -0.35 Mpa
311875.0 39028825.6 fsu = 1484.5 Mpa

Considering prestressing steel only:

-P +Pe
p*fsu
db = + = Mucap = [
Φ Aps*fsu*d( 1-0.6
fc'
)]
A Sb

-110000.0 0.0 Mucap = 47.4 Knm


db + = -0.35 Mpa
311875.0 15049934.8 Mact = 96.0 Knm

Mucap < Mucap Remarks: PROVIDE NON PT


3.0 COMBINED STRESSES (SERVICE LOADS)
REINF.

-Mtotal -P -Pe
dt = + + = 0.67 Mpa
IX. DEFORMED BAR REQUIREMENT (IF ANY)
St A St

YB = 360.9 mm
YC = 139.1 mm

0.67 < 3.67 SAFE.


139.1

+Mtotal -P +Pe
500

db = + + = -3.01 Mpa
Sb A Sb
360.9

-3.01 < -15.75 SAFE.

15.75
IF Mcap < Mact:

Mact - Mcap = 48.6 KN-m

Say: 5- 20mm

AsFy ( 314.16 ) ( 5 ) ( 413 )


Ac = =
0.85fc' 0.85 ( 35 )

Ac = 21806.4 mm2

Ac 21806.4
a = =
b 1687.5

a = 12.9 mm

Mtu = Φ{AsFy[(h-d')-(a/2)]}

Mtu = 246.1
DEFLECTION:

L = 7.025 m
Eci = 27805.6 Mpa
Ec = 27805.6 Mpa

I(basic) = 1.0553E+09
I(T-section) = 1.3642E+09
e(T-section)= 0.0 mm

A. Camber due to prestressing

Initial Stress, fj = Jf -(FR+ES)


fj = 0.8fpu
fj = 1488.0 Mpa

Initial force P1 = fj(Aps)


= 146.9 KN

where:
Aps = n(Acable)
= 98.7

wps = 8Pe/L2 along length


= 0.0 kN/m
= 4Pe/L
wps = 0.0 kN/m

wg = 7.348 kN/m

Due to prestress:
δPs = 5WpsL4
384Eci(Ibasic)
δPs = 0.00 mm

Due to girder weight


δG = 5WGL4
384Eci(Ibasic)
δG = 6.14

Camber at release = -6.1 mm

B. Deflection
STAAD VALUE = 14.077 mm
(D+F+L) except SW

C. Net deflection vs. Allowable


δALLOW = L/480
= 14.6 mm

δNET = 20.2 mm
I. REFERENCES IV. BEAM/GIRDER INFORMATION
NATIONAL STRUCTURAL CODE OF Beam designation: LINE 15 (@K-L)
THE PHILIPPINES Beam classification: Interior Beam
Section Location: Midspan
II. GRAVITY LOADS Length, L = 7.025 m
Flange width,Bf = 1.688 m
Conc. Unit Wt. = 23.6 kN/m3 S1 = 1.350 m
SDL = 2.4 kPa S2 = 1.525 m
Wt. Of Slab = 3.1 kPa
t = 130.0 mm
Least of:
Live Load = 1.9 kPa L/4 = 1.756 m
= 0.0 kPa 16t + bw = 2.330 m
S1/2 +S2/2 +bw = 1.688 m
III. DESIGN STRESSES

Concrete:
At release of prestress:
fci = 35.0 MPa Flange thickness, Ft = 0.130 m
0.6 fci = 21.0 MPa Beam/Girder depth, d = 0.500 m
0.25 √fci = 1.5 MPa Beam/Girder width, bw = 0.250 m

At service condition:
f'c = 35.0 MPa
0.45 f'c = 15.8 MPa
0.62 √f'c = 3.7 MPa

Modulus of Elasticity of Concrete 1688


Ec, 4700 √f'c = 2.78E+04 MPa
Ecir, 4700 √fcir = 2.78E+04 MPa
500 A 130

Deformed bars:
B
Fy = 413.0 MPa

Prestressing steel: 250


fpu = 1860.0 MPa
fj, 0.8fpu = 1488.0 MPa
Ep = 1.93E+05 MPa
Area of cable for 12mmΦ, V. SECTION PROPERTIES
Aps = 98.71 mm2

SHAPE A SHAPE B
Assumed values for friction loss (Type of duct: Bright, metal sheathing)
K = 0.00656 K/m
Width 1688 Width 250
μ = 0.3

Depth 130 Depth 370

Area 219375 Area 92500

y 435 y 185

AreaA*y 9.54E+07 AreaB*y 1.71E+07

IA 3.09E+08 IB 1.06E+09

AreaA*d2 1.21E+09 AreaB*d2 2.86E+09

Total Area = 311875.00 mm2

Area*y = 1.13E+08 mm3

I = 1.36E+09 mm4

Area*d2 = 4.07E+09 mm4

Yt = 139.1 mm

Yb = 360.9 mm
Project: Proposed Three-Storey Residences Designed by:
Location: 27, 8th Street, New Manila, Quezon City Checked by:
Client:

IN.A. = 5.43E+09 mm4 +Mtotal -P -Pe


db + + = 2.28 Mpa
ST = 39028825.60 mm3
Sb A Sb

SB = 1.50E+07 mm3

Eccentricity at section = 185.9 mm 2.28 < 3.67 SAFE.

Dist. Of cable from ext fiber = 175.0 mm

VII. CONSIDERING LOSSES

VI. CHECKING OF STRESSES (PRESTRESS + PERMANENT)

MDL = 60.0 Knm


Time Dependent Losses = 277.0 Mpa
Net Prestressing force, Fnet = (Fj - ∑Losses) (Acables)
Fnet per cable = 110.00 KN

Fnet = ( 1488 - 277 ) ( 98.71 )


No. Of cables = 1.0 pcs
= 119.5 KN

###DUE TO GRAVITY LOADS Prestressing force at release:

Fi = (Fj - FR) (Acables)


-Mtotal -60.0
dt
= = = -1.54 Mpa Fi = 139.1 KN
St 3.90E+07

1.0 DUE TO PRESTRESS AT RELEASE


+Mtotal 60.0
db
= = = 3.99 Mpa
Sb 1.50E+07 -Pi (Pi)e
dt = +
A ST
2.0 DUE TO PRESTRESS LOADS
-1.39E+05 2.58E+07
dt = + = 0.22 Mpa
-P +Pe 311875.0 3.90E+07
dt = + =
A St

-110000.0 20443687.4 - Pi -(Pi)e


dt = + = 0.17 Mpa db = +
311875.0 39028825.6 A Sb

-1.39E+05 -25845636.5
db = + = -2.16 Mpa
-P -Pe 311875.0 15049934.8
db = + =
A Sb
2.0 DUE TO GIRDER WEIGHT

-110000.0 -20443687.4
db + = -1.71 Mpa -Mtotal -133.00
311875.0 15049934.8 dt = = = -3.4077
St 3.90E+07

3.0 COMBINED STRESSES (SERVICE DEAD)


+Mtotal 133.0
db = = = 8.8 Mpa
-Mtotal -P +Pe Sb 1.50E+07
dt = + + = -1.37 Mpa
St A St

-1.37 < -15.75 SAFE.


Project: Proposed Three-Storey Residences Designed by:
Location: Checked by:
Client:

VII. CHECKING OF STRESSES (PRESTRESS + SVC LOADS) VIII. CHECK ULTIMATE MOMENT CAPACITY

MSVC = 60.0 Knm


Aps (TOTAL) = (ncables) (Aps)
Fnet per cable = 110.00 KN
Aps (TOTAL) = 98.7 mm2
No. Of cables = 1.0 pcs

fpu = 1488.0 MPa

###DUE TO DEAD LOAD AND LIVE LOAD

Dtotal = 500.0 mm
-Mtotal -60.0
d = 325.0 mm
dt
= = = -1.537325 Mpa
St 3.90E+07

Depth of rectangular stress block:

+Mtotal 60.0
Aps (fpu) ( 98.71 ) ( 1488 )
db
= = = 3.99 Mpa a = =
0.85f'cb 0.85 ( 35 ) ( 1687.5 )
Sb 1.50E+07

a = 2.9 mm < tflange

2.0 DUE TO PRESTRESS LOADS


Aps ( 98.71 )
ρ = = = 0.00018
bd ( 1687.5 ) ( 325 )
-P +Pe
dt = + =
0.28 (fpu) (ρ)
A St fsu = fpu (1 -
β fc' )
0.28 * 1488 * 0.00018
-110000.0 20443687.4 fsu = 1488 (1 - )
0.81 * 35
dt = + = 0.17 Mpa
311875.0 39028825.6 fsu = 1484.1 Mpa

Considering prestressing steel only:

-P -Pe
p*fsu
db = + = Mucap = [
Φ Aps*fsu*d( 1-0.6
fc'
)]
A Sb

-110000.0 -20443687.4 Mucap = 42.7 Knm


db + = -1.71 Mpa
311875.0 15049934.8 Mact = 55.0 Knm

Mucap < Mucap Remarks: PROVIDE NON PT


3.0 COMBINED STRESSES (SERVICE LOADS)
REINF.

-Mtotal -P +Pe
dt = + + = -1.37 Mpa
IX. DEFORMED BAR REQUIREMENT (IF ANY)
St A St

YB = 360.9 mm
YC = 139.1 mm

-1.37 < -15.75 SAFE.


139.1

+Mtotal -P -Pe
500

db = + + = 2.28 Mpa
Sb A Sb
360.9

2.28 < 3.67 SAFE.

15.75
IF Mcap < Mact:

Mact - Mcap = 12.3 KN-m

Say: 5- 20mm

AsFy ( 314.16 ) ( 5 ) ( 413 )


Ac = =
0.85fc' 0.85 ( 35 )

Ac = 21806.4 mm2

Ac 21806.4
a = =
b 1687.5

a = 12.9 mm

Mtu = Φ{AsFy[(h-d')-(a/2)]}

Mtu = 246.1
DEFLECTION:

L = 7.025 m
Eci = 27805.6 Mpa
Ec = 27805.6 Mpa

I(basic) = 1.0553E+09
I(T-section) = 1.3642E+09
e(T-section)= 185.9 mm

A. Camber due to prestressing

Initial Stress, fj = Jf -(FR+ES)


fj = 0.8fpu
fj = 1488.0 Mpa

Initial force P1 = fj(Aps)


= 146.9 KN

where:
Aps = n(Acable)
= 98.7

wps = 8Pe/L2 along length


= 4.4 kN/m
= 4Pe/L
wps = 15.5 kN/m

wg = 7.348 kN/m

Due to prestress:
δPs = 5WpsL4
384Eci(Ibasic)
δPs = 3.70 mm

Due to girder weight


δG = 5WGL4
384Eci(Ibasic)
δG = 6.14

Camber at release = -2.4 mm

B. Deflection
STAAD VALUE = 14.077 mm
(D+F+L) except SW

C. Net deflection vs. Allowable


δALLOW = L/480
= 14.6 mm

δNET = 16.5 mm
I. REFERENCES IV. BEAM/GIRDER INFORMATION
NATIONAL STRUCTURAL CODE OF Beam designation: LINE 15 (@K-L)
THE PHILIPPINES Beam classification: Interior Beam
Section Location: Midspan
II. GRAVITY LOADS Length, L = 7.025 m
Flange width,Bf = 1.688 m
Conc. Unit Wt. = 23.6 kN/m3 S1 = 1.350 m
SDL = 2.4 kPa S2 = 1.525 m
Wt. Of Slab = 3.1 kPa
t = 130.0 mm
Least of:
Live Load = 1.9 kPa L/4 = 1.756 m
= 0.0 kPa 16t + bw = 2.330 m
S1/2 +S2/2 +bw = 1.688 m
III. DESIGN STRESSES

Concrete:
At release of prestress:
fci = 35.0 MPa Flange thickness, Ft = 0.130 m
0.6 fci = 21.0 MPa Beam/Girder depth, d = 0.500 m
0.25 √fci = 1.5 MPa Beam/Girder width, bw = 0.250 m

At service condition:
f'c = 35.0 MPa
0.45 f'c = 15.8 MPa
0.62 √f'c = 3.7 MPa

Modulus of Elasticity of Concrete 1688


Ec, 4700 √f'c = 2.78E+04 MPa
Ecir, 4700 √fcir = 2.78E+04 MPa
500 A 130

Deformed bars:
B
Fy = 413.0 MPa

Prestressing steel: 250


fpu = 1860.0 MPa
fj, 0.8fpu = 1488.0 MPa
Ep = 1.93E+05 MPa
Area of cable for 12mmΦ, V. SECTION PROPERTIES
Aps = 98.71 mm2

SHAPE A SHAPE B
Assumed values for friction loss (Type of duct: Bright, metal sheathing)
K = 0.00656 K/m
Width 1688 Width 250
μ = 0.3

Depth 130 Depth 370

Area 219375 Area 92500

y 435 y 185

AreaA*y 9.54E+07 AreaB*y 1.71E+07

IA 3.09E+08 IB 1.06E+09

AreaA*d2 1.21E+09 AreaB*d2 2.86E+09

Total Area = 311875.00 mm2

Area*y = 1.13E+08 mm3

I = 1.36E+09 mm4

Area*d2 = 4.07E+09 mm4

Yt = 139.1 mm

Yb = 360.9 mm
Project: Proposed Three-Storey Residences Designed by:
Location: 27, 8th Street, New Manila, Quezon City Checked by:
Client:

IN.A. = 5.43E+09 mm4 -Mtotal -P +Pe


db + + = -2.97 Mpa
ST = 39028825.60 mm3
Sb A Sb

SB = 1.50E+07 mm3

Eccentricity at section = 14.1 mm -2.97 < -15.75 SAFE.

Dist. Of cable from ext fiber = 125.0 mm

VII. CONSIDERING LOSSES

VI. CHECKING OF STRESSES (PRESTRESS + PERMANENT)

MDL = 41.0 Knm


Time Dependent Losses = 277.0 Mpa
Net Prestressing force, Fnet = (Fj - ∑Losses) (Acables)
Fnet per cable = 110.00 KN

Fnet = ( 1488 - 277 ) ( 98.71 )


No. Of cables = 1.0 pcs
= 119.5 KN

###DUE TO GRAVITY LOADS Prestressing force at release:

Fi = (Fj - FR) (Acables)


+Mtotal 41.0
dt
= = = 1.05 Mpa Fi = 143.2 KN
St 3.90E+07

1.0 DUE TO PRESTRESS AT RELEASE


-Mtotal -41.0
db
= = = -2.72 Mpa
Sb 1.50E+07 -Pi (Pi)e
dt = +
A ST
2.0 DUE TO PRESTRESS LOADS
-1.43E+05 2.03E+06
dt = + = -0.41 Mpa
-P -Pe 311875.0 3.90E+07
dt = + =
A St

-110000.0 -1556312.6 - Pi -(Pi)e


dt = + = -0.39 Mpa db = +
311875.0 39028825.6 A Sb

-1.43E+05 -2025870.4
db = + = -0.59 Mpa
-P +Pe 311875.0 15049934.8
db = + =
A Sb
2.0 DUE TO GIRDER WEIGHT

-110000.0 1556312.6
db + = -0.25 Mpa +Mtotal -133.00
311875.0 15049934.8 dt = = = -3.4077
St 3.90E+07

3.0 COMBINED STRESSES (SERVICE DEAD)


-Mtotal 133.0
db = = = 8.8 Mpa
+Mtotal -P -Pe Sb 1.50E+07
dt = + + = 0.66 Mpa
St A St

0.66 < 3.67 SAFE.


Project: Proposed Three-Storey Residences Designed by:
Location: Checked by:
Client:

VII. CHECKING OF STRESSES (PRESTRESS + SVC LOADS) VIII. CHECK ULTIMATE MOMENT CAPACITY

MSVC = 41.0 Knm


Aps (TOTAL) = (ncables) (Aps)
Fnet per cable = 110.00 KN
Aps (TOTAL) = 98.7 mm2
No. Of cables = 1.0 pcs

fpu = 1488.0 MPa

###DUE TO DEAD LOAD AND LIVE LOAD

Dtotal = 500.0 mm
+Mtotal 41.0
d = 375.0 mm
dt
= = = 1.0505056 Mpa
St 3.90E+07

Depth of rectangular stress block:

-Mtotal -41.0
Aps (fpu) ( 98.71 ) ( 1488 )
db
= = = -2.72 Mpa a = =
0.85f'cb 0.85 ( 35 ) ( 1687.5 )
Sb 1.50E+07

a = 2.9 mm < tflange

2.0 DUE TO PRESTRESS LOADS


Aps ( 98.71 )
ρ = = = 0.00016
bd ( 1687.5 ) ( 375 )
-P -Pe
dt = + =
0.28 (fpu) (ρ)
A St fsu = fpu (1 -
β fc' )
0.28 * 1488 * 0.00016
-110000.0 -1556312.6 fsu = 1488 (1 - )
0.81 * 35
dt = + = -0.39 Mpa
311875.0 39028825.6 fsu = 1484.6 Mpa

Considering prestressing steel only:

-P +Pe
p*fsu
db = + = Mucap = [
Φ Aps*fsu*d( 1-0.6
fc'
)]
A Sb

-110000.0 1556312.6 Mucap = 49.3 Knm


db + = -0.25 Mpa
311875.0 15049934.8 Mact = 41.0 Knm

Mucap > Mucap Remarks:


3.0 COMBINED STRESSES (SERVICE LOADS) SAFE

-Mtotal -P -Pe
dt = + + = 0.66 Mpa
IX. DEFORMED BAR REQUIREMENT (IF ANY)
St A St

YB = 360.9 mm
YC = 139.1 mm

0.66 < 3.67 SAFE.


139.1

+Mtotal -P +Pe
500

db = + + = -2.97 Mpa
Sb A Sb
360.9

-2.97 < -15.75 SAFE.

15.75
IF Mcap < Mact:

Mact - Mcap = -8.3 KN-m

Say: 5- 20mm

AsFy ( 314.16 ) ( 5 ) ( 413 )


Ac = =
0.85fc' 0.85 ( 35 )

Ac = 21806.4 mm2

Ac 21806.4
a = =
b 1687.5

a = 12.9 mm

Mtu = Φ{AsFy[(h-d')-(a/2)]}

Mtu = 246.1
DEFLECTION:

L = 7.025 m
Eci = 27805.6 Mpa
Ec = 27805.6 Mpa

I(basic) = 1.0553E+09
I(T-section) = 1.3642E+09
e(T-section)= 14.1 mm

A. Camber due to prestressing

Initial Stress, fj = Jf -(FR+ES)


fj = 0.8fpu
fj = 1488.0 Mpa

Initial force P1 = fj(Aps)


= 146.9 KN

where:
Aps = n(Acable)
= 98.7

wps = 8Pe/L2 along length


= 0.3 kN/m
= 4Pe/L
wps = 1.2 kN/m

wg = 7.348 kN/m

Due to prestress:
δPs = 5WpsL4
384Eci(Ibasic)
δPs = 0.28 mm

Due to girder weight


δG = 5WGL4
384Eci(Ibasic)
δG = 6.14

Camber at release = -5.9 mm

B. Deflection
STAAD VALUE = 14.077 mm
(D+F+L) except SW

C. Net deflection vs. Allowable


δALLOW = L/480
= 14.6 mm

δNET = 19.9 mm
I. REFERENCES IV. BEAM/GIRDER INFORMATION
NATIONAL STRUCTURAL CODE OF Beam designation: LINE 15 (@K-L)
THE PHILIPPINES Beam classification: Interior Beam
Section Location: Midspan
II. GRAVITY LOADS Length, L = 4.725 m
Flange width,Bf = 1.181 m
Conc. Unit Wt. = 23.6 kN/m3 S1 = 1.350 m
SDL = 2.4 kPa S2 = 1.525 m
Wt. Of Slab = 3.1 kPa
t = 130.0 mm
Least of:
Live Load = 1.9 kPa L/4 = 1.181 m
= 0.0 kPa 16t + bw = 2.330 m
S1/2 +S2/2 +bw = 1.688 m
III. DESIGN STRESSES

Concrete:
At release of prestress:
fci = 35.0 MPa Flange thickness, Ft = 0.130 m
0.6 fci = 21.0 MPa Beam/Girder depth, d = 0.500 m
0.25 √fci = 1.5 MPa Beam/Girder width, bw = 0.250 m

At service condition:
f'c = 35.0 MPa
0.45 f'c = 15.8 MPa
0.62 √f'c = 3.7 MPa

Modulus of Elasticity of Concrete 1181


Ec, 4700 √f'c = 2.78E+04 MPa
Ecir, 4700 √fcir = 2.78E+04 MPa
500 A 130

Deformed bars:
B
Fy = 413.0 MPa

Prestressing steel: 250


fpu = 1860.0 MPa
fj, 0.8fpu = 1488.0 MPa
Ep = 1.93E+05 MPa
Area of cable for 12mmΦ, V. SECTION PROPERTIES
Aps = 98.71 mm2

SHAPE A SHAPE B
Assumed values for friction loss (Type of duct: Bright, metal sheathing)
K = 0.00656 K/m
Width 1181 Width 250
μ = 0.3

Depth 130 Depth 370

Area 153562.5 Area 92500

y 435 y 185

AreaA*y 6.68E+07 AreaB*y 1.71E+07

IA 2.16E+08 IB 1.06E+09

AreaA*d2 1.36E+09 AreaB*d2 2.25E+09

Total Area = 246062.50 mm2

Area*y = 8.39E+07 mm3

I = 1.27E+09 mm4

Area*d2 = 3.61E+09 mm4

Yt = 159.0 mm

Yb = 341.0 mm
Project: Proposed Three-Storey Residences Designed by:
Location: 27, 8th Street, New Manila, Quezon City Checked by:
Client:

IN.A. = 4.88E+09 mm4 -Mtotal -P +Pe


db + + = -3.24 Mpa
ST = 30692479.59 mm3
Sb A Sb

SB = 1.43E+07 mm3

Eccentricity at section = 9.0 mm -3.24 < -15.75 SAFE.

Dist. Of cable from ext fiber = 150.0 mm

VII. CONSIDERING LOSSES

VI. CHECKING OF STRESSES (PRESTRESS + PERMANENT)

MDL = 41.0 Knm


Time Dependent Losses = 277.0 Mpa
Net Prestressing force, Fnet = (Fj - ∑Losses) (Acables)
Fnet per cable = 110.00 KN

Fnet = ( 1488 - 277 ) ( 98.71 )


No. Of cables = 1.0 pcs
= 119.5 KN

###DUE TO GRAVITY LOADS Prestressing force at release:

Fi = (Fj - FR) (Acables)


+Mtotal 41.0
dt
= = = 1.34 Mpa Fi = 144.3 KN
St 3.07E+07

1.0 DUE TO PRESTRESS AT RELEASE


-Mtotal -41.0
db
= = = -2.87 Mpa
Sb 1.43E+07 -Pi (Pi)e
dt = +
A ST
2.0 DUE TO PRESTRESS LOADS
-1.44E+05 1.30E+06
dt = + = -0.54 Mpa
-P -Pe 246062.5 3.07E+07
dt = + =
A St

-110000.0 -987820.7 - Pi -(Pi)e


dt = + = -0.48 Mpa db = +
246062.5 30692479.6 A Sb

-1.44E+05 -1295771.3
db = + = -0.68 Mpa
-P +Pe 246062.5 14308541.6
db = + =
A Sb
2.0 DUE TO GIRDER WEIGHT

-110000.0 987820.7
db + = -0.38 Mpa +Mtotal -133.00
246062.5 14308541.6 dt = = = -4.3333
St 3.07E+07

3.0 COMBINED STRESSES (SERVICE DEAD)


-Mtotal 133.0
db = = = 9.3 Mpa
+Mtotal -P -Pe Sb 1.43E+07
dt = + + = 0.86 Mpa
St A St

0.86 < 3.67 SAFE.


Project: Proposed Three-Storey Residences Designed by:
Location: Checked by:
Client:

VII. CHECKING OF STRESSES (PRESTRESS + SVC LOADS) VIII. CHECK ULTIMATE MOMENT CAPACITY

MSVC = 41.0 Knm


Aps (TOTAL) = (ncables) (Aps)
Fnet per cable = 110.00 KN
Aps (TOTAL) = 98.7 mm2
No. Of cables = 1.0 pcs

fpu = 1488.0 MPa

###DUE TO DEAD LOAD AND LIVE LOAD

Dtotal = 500.0 mm
+Mtotal 41.0
d = 350.0 mm
dt
= = = 1.3358321 Mpa
St 3.07E+07

Depth of rectangular stress block:

-Mtotal -41.0
Aps (fpu) ( 98.71 ) ( 1488 )
db
= = = -2.87 Mpa a = =
0.85f'cb 0.85 ( 35 ) ( 1181.25 )
Sb 1.43E+07

a = 4.2 mm < tflange

2.0 DUE TO PRESTRESS LOADS


Aps ( 98.71 )
ρ = = = 0.00024
bd ( 1181.25 ) ( 350 )
-P -Pe
dt = + =
0.28 (fpu) (ρ)
A St fsu = fpu (1 -
β fc' )
0.28 * 1488 * 0.00024
-110000.0 -987820.7 fsu = 1488 (1 - )
0.81 * 35
dt = + = -0.48 Mpa
246062.5 30692479.6 fsu = 1482.8 Mpa

Considering prestressing steel only:

-P +Pe
p*fsu
db = + = Mucap = [
Φ Aps*fsu*d( 1-0.6
fc'
)]
A Sb

-110000.0 987820.7 Mucap = 45.8 Knm


db + = -0.38 Mpa
246062.5 14308541.6 Mact = 41.0 Knm

Mucap > Mucap Remarks:


3.0 COMBINED STRESSES (SERVICE LOADS) SAFE

-Mtotal -P -Pe
dt = + + = 0.86 Mpa
IX. DEFORMED BAR REQUIREMENT (IF ANY)
St A St

YB = 341.0 mm
YC = 159.0 mm

0.86 < 3.67 SAFE.


159.0

+Mtotal -P +Pe
500

db = + + = -3.24 Mpa
Sb A Sb
341.0

-3.24 < -15.75 SAFE.

15.75
IF Mcap < Mact:

Mact - Mcap = -4.8 KN-m

Say: 5- 20mm

AsFy ( 314.16 ) ( 5 ) ( 413 )


Ac = =
0.85fc' 0.85 ( 35 )

Ac = 21806.4 mm2

Ac 21806.4
a = =
b 1181.3

a = 18.5 mm

Mtu = Φ{AsFy[(h-d')-(a/2)]}

Mtu = 244.5
DEFLECTION:

L = 4.725 m
Eci = 27805.6 Mpa
Ec = 27805.6 Mpa

I(basic) = 1.0553E+09
I(T-section) = 1.2715E+09
e(T-section)= 9.0 mm

A. Camber due to prestressing

Initial Stress, fj = Jf -(FR+ES)


fj = 0.8fpu
fj = 1488.0 Mpa

Initial force P1 = fj(Aps)


= 146.9 KN

where:
Aps = n(Acable)
= 98.7

wps = 8Pe/L2 along length


= 0.5 kN/m
= 4Pe/L
wps = 1.1 kN/m

wg = 5.797 kN/m

Due to prestress:
δPs = 5WpsL4
384Eci(Ibasic)
δPs = 0.09 mm

Due to girder weight


δG = 5WGL4
384Eci(Ibasic)
δG = 1.06

Camber at release = -1.0 mm

B. Deflection
STAAD VALUE = 14.077 mm
(D+F+L) except SW

C. Net deflection vs. Allowable


δALLOW = L/480
= 9.8 mm

δNET = 15.1 mm
I. REFERENCES IV. BEAM/GIRDER INFORMATION
NATIONAL STRUCTURAL CODE OF Beam designation: LINE 2 @ I
THE PHILIPPINES Beam classification: Interior Beam
Section Location: End
II. GRAVITY LOADS Length, L = 4.725 m
Flange width,Bf = 1.181 m
Conc. Unit Wt. = 23.6 kN/m 3
S1 = 1.350 m
SDL = 2.4 kPa S2 = 1.500 m
Wt. Of Slab = 3.1 kPa
t = 130.0 mm
Least of:
Live Load = 1.9 kPa L/4 = 1.181 m
= 0.0 kPa 16t + bw = 2.330 m
S1/2 +S2/2 +bw = 1.675 m
III. DESIGN STRESSES

Concrete:
At release of prestress:
fci = 35.0 MPa Flange thickness, Ft = 0.130 m
0.6 fci = 21.0 MPa Beam/Girder depth, d = 0.500 m
0.25 √fci = 1.5 MPa Beam/Girder width, bw = 0.250 m

At service condition:
f'c = 35.0 MPa
0.45 f'c = 15.8 MPa
0.62 √f'c = 3.7 MPa

Modulus of Elasticity of Concrete 250


Ec, 4700 √f'c = 2.78E+04 MPa
Ecir, 4700 √fcir = 2.78E+04 MPa

A
500

Deformed bars:
Fy = 413.0 MPa
B 130

Prestressing steel: 1181


fpu = 1860.0 MPa
fj, 0.8fpu = 1488.0 MPa
Ep = 1.93E+05 MPa
Area of cable for 12mmΦ, V. SECTION PROPERTIES
Aps = 98.71 mm2

SHAPE B SHAPE A
Assumed values for friction loss (Type of duct: Bright, metal sheathing)
K = 0.00656 K/m
Width 1181 Width 250
μ = 0.3

Depth 130 Depth 370

Area 153562.5 Area 92500

y 65 y 315

AreaA*y 9.98E+06 AreaB*y 2.91E+07

IA 2.16E+08 IB 1.06E+09

AreaA*d2 1.36E+09 AreaB*d2 2.25E+09

Total Area = 246062.50 mm2

Area*y = 3.91E+07 mm3

I = 1.27E+09 mm4

Area*d2 = 3.61E+09 mm4

Yt = 341.0 mm

Yb = 159.0 mm
Project: Proposed Three-Storey Residences Designed by:
Location: 27, 8th Street, New Manila, Quezon City Checked by:
Client:

IN.A. = 4.88E+09 mm4 +Mtotal -P -Pe


db + + = -0.01 Mpa
ST = 14308541.62 mm3
Sb A Sb

SB = 3.07E+07 mm3

Eccentricity at section = 59.0 mm -0.01 < -15.75 SAFE.

Dist. Of cable from ext fiber = 100.0 mm

VII. CONSIDERING LOSSES

VI. CHECKING OF STRESSES (PRESTRESS + PERMANENT)

MDL = 20.0 Knm


Time Dependent Losses = 277.0 Mpa
Net Prestressing force, Fnet = (Fj - ∑Losses) (Acables)
Fnet per cable = 110.00 KN

Fnet = ( 1488 - 277 ) ( 98.71 )


No. Of cables = 1.0 pcs
= 119.5 KN

###DUE TO GRAVITY LOADS Prestressing force at release:

Fi = (Fj - FR) (Acables)


-Mtotal -20.0
dt
= = = -1.40 Mpa Fi = 142.5 KN
St 1.43E+07

1.0 DUE TO PRESTRESS AT RELEASE


+Mtotal 20.0
db
= = = 0.65 Mpa
Sb 3.07E+07 -Pi (Pi)e
dt = +
A ST
2.0 DUE TO PRESTRESS LOADS
-1.42E+05 8.40E+06
dt = + = 0.01 Mpa
-P +Pe 246062.5 1.43E+07
dt = + =
A St

-110000.0 6487820.7 - Pi -(Pi)e


dt = + = 0.01 Mpa db = +
246062.5 14308541.6 A Sb

-1.42E+05 -8403101.3
db = + = -0.85 Mpa
-P -Pe 246062.5 30692479.6
db = + =
A Sb
2.0 DUE TO GIRDER WEIGHT

-110000.0 -6487820.7
db + = -0.66 Mpa -Mtotal -133.00
246062.5 30692479.6 dt = = = -9.2951
St 1.43E+07

3.0 COMBINED STRESSES (SERVICE DEAD)


+Mtotal 133.0
db = = = 4.3 Mpa
-Mtotal -P +Pe Sb 3.07E+07
dt = + + = -1.39 Mpa
St A St

-1.39 < -15.75 SAFE.


Project: Proposed Three-Storey Residences Designed by:
Location: Checked by:
Client:

VII. CHECKING OF STRESSES (PRESTRESS + SVC LOADS) VIII. CHECK ULTIMATE MOMENT CAPACITY

MSVC = 20.0 Knm


Aps (TOTAL) = (ncables) (Aps)
Fnet per cable = 110.00 KN
Aps (TOTAL) = 98.7 mm2
No. Of cables = 1.0 pcs

fpu = 1488.0 MPa

###DUE TO DEAD LOAD AND LIVE LOAD

Dtotal = 500.0 mm
-Mtotal -20.0
d = 400.0 mm
dt
= = = -1.397766 Mpa
St 1.43E+07

Depth of rectangular stress block:

+Mtotal 20.0
Aps (fpu) ( 98.71 ) ( 1488 )
db
= = = 0.65 Mpa a = =
0.85f'cb 0.85 ( 35 ) ( 1181.25 )
Sb 3.07E+07

a = 4.2 mm < tflange

2.0 DUE TO PRESTRESS LOADS


Aps ( 98.71 )
ρ = = = 0.00021
bd ( 1181.25 ) ( 400 )
-P +Pe
dt = + =
0.28 (fpu) (ρ)
A St fsu = fpu (1 -
β fc' )
0.28 * 1488 * 0.00021
-110000.0 6487820.7 fsu = 1488 (1 - )
0.81 * 35
dt = + = 0.01 Mpa
246062.5 14308541.6 fsu = 1483.5 Mpa

Considering prestressing steel only:

-P -Pe
p*fsu
db = + = Mucap = [
Φ Aps*fsu*d( 1-0.6
fc'
)]
A Sb

-110000.0 -6487820.7 Mucap = 52.4 Knm


db + = -0.66 Mpa
246062.5 30692479.6 Mact = 20.0 Knm

Mucap > Mucap Remarks:


3.0 COMBINED STRESSES (SERVICE LOADS) SAFE

-Mtotal -P +Pe
dt = + + = -1.39 Mpa
IX. DEFORMED BAR REQUIREMENT (IF ANY)
St A St

YB = 159.0 mm
YC = 341.0 mm

-1.39 < -15.75 SAFE.


341.0

+Mtotal -P -Pe
500

db = + + = -0.01 Mpa
Sb A Sb
159.0

-0.01 < -15.75 SAFE.

15.75
IF Mcap < Mact:

Mact - Mcap = -32.4 KN-m

Say: 5- 20mm

AsFy ( 314.16 ) ( 5 ) ( 413 )


Ac = =
0.85fc' 0.85 ( 35 )

Ac = 21806.4 mm2

Ac 21806.4
a = =
b 1181.3

a = 18.5 mm

Mtu = Φ{AsFy[(h-d')-(a/2)]}

Mtu = 244.5
DEFLECTION:

L = 4.725 m
Eci = 27805.6 Mpa
Ec = 27805.6 Mpa

I(basic) = 1.0553E+09
I(T-section) = 1.2715E+09
e(T-section)= 59.0 mm

A. Camber due to prestressing

Initial Stress, fj = Jf -(FR+ES)


fj = 0.8fpu
fj = 1488.0 Mpa

Initial force P1 = fj(Aps)


= 146.9 KN

where:
Aps = n(Acable)
= 98.7

wps = 8Pe/L2 along length


= 3.1 kN/m
= 4Pe/L
wps = 7.3 kN/m

wg = 5.797 kN/m

Due to prestress:
δPs = 5WpsL4
384Eci(Ibasic)
δPs = 0.57 mm

Due to girder weight


δG = 5WGL4
384Eci(Ibasic)
δG = 1.06

Camber at release = -0.5 mm

B. Deflection
STAAD VALUE = 14.077 mm
(D+F+L) except SW

C. Net deflection vs. Allowable


δALLOW = L/480
= 9.8 mm

δNET = 14.6 mm
I. REFERENCES IV. BEAM/GIRDER INFORMATION
NATIONAL STRUCTURAL CODE OF Beam designation: LINE 3 @H end
THE PHILIPPINES Beam classification: Interior Beam
Section Location: End
II. GRAVITY LOADS Length, L = 4.725 m
Flange width,Bf = 1.181 m
Conc. Unit Wt. = 23.6 kN/m3 S1 = 1.350 m
SDL = 2.4 kPa S2 = 1.500 m
Wt. Of Slab = 3.1 kPa
t = 130.0 mm
Least of:
Live Load = 1.9 kPa L/4 = 1.181 m
= 0.0 kPa 16t + bw = 2.330 m
S1/2 +S2/2 +bw = 1.675 m
III. DESIGN STRESSES

Concrete:
At release of prestress:
fci = 35.0 MPa Flange thickness, Ft = 0.130 m
0.6 fci = 21.0 MPa Beam/Girder depth, d = 0.500 m
0.25 √fci = 1.5 MPa Beam/Girder width, bw = 0.250 m

At service condition:
f'c = 35.0 MPa
0.45 f'c = 15.8 MPa
0.62 √f'c = 3.7 MPa

Modulus of Elasticity of Concrete 1181


Ec, 4700 √f'c = 2.78E+04 MPa
Ecir, 4700 √fcir = 2.78E+04 MPa
500 A 130

Deformed bars:
B
Fy = 413.0 MPa

Prestressing steel: 250


fpu = 1860.0 MPa
fj, 0.8fpu = 1488.0 MPa
Ep = 1.93E+05 MPa
Area of cable for 12mmΦ, V. SECTION PROPERTIES
Aps = 98.71 mm2

SHAPE A SHAPE B
Assumed values for friction loss (Type of duct: Bright, metal sheathing)
K = 0.00656 K/m
Width 1181 Width 250
μ = 0.3

Depth 130 Depth 370

Area 153562.5 Area 92500

y 435 y 185

AreaA*y 6.68E+07 AreaB*y 1.71E+07

IA 2.16E+08 IB 1.06E+09

AreaA*d2 1.36E+09 AreaB*d2 2.25E+09

Total Area = 246062.50 mm2

Area*y = 8.39E+07 mm3

I = 1.27E+09 mm4

Area*d2 = 3.61E+09 mm4

Yt = 159.0 mm

Yb = 341.0 mm
Project: Proposed Three-Storey Residences Designed by:
Location: 27, 8th Street, New Manila, Quezon City Checked by:
Client:

IN.A. = 4.88E+09 mm4 -Mtotal -P +Pe


db + + = -0.45 Mpa
ST = 30692479.59 mm3
Sb A Sb

SB = 1.43E+07 mm3

Eccentricity at section = 0.0 mm -0.45 < -15.75 SAFE.

Dist. Of cable from ext fiber = 159.0 mm

VII. CONSIDERING LOSSES

VI. CHECKING OF STRESSES (PRESTRESS + PERMANENT)

MDL = 0.0 Knm


Time Dependent Losses = 277.0 Mpa
Net Prestressing force, Fnet = (Fj - ∑Losses) (Acables)
Fnet per cable = 110.00 KN

Fnet = ( 1488 - 277 ) ( 98.71 )


No. Of cables = 1.0 pcs
= 119.5 KN

###DUE TO GRAVITY LOADS Prestressing force at release:

Fi = (Fj - FR) (Acables)


+Mtotal 0.0
dt
= = = 0.00 Mpa Fi = 144.6 KN
St 3.07E+07

1.0 DUE TO PRESTRESS AT RELEASE


-Mtotal 0.0
db
= = = 0.00 Mpa
Sb 1.43E+07 -Pi (Pi)e
dt = +
A ST
2.0 DUE TO PRESTRESS LOADS
-1.45E+05 0.00E+00
dt = + = -0.59 Mpa
-P -Pe 246062.5 3.07E+07
dt = + =
A St

-110000.0 0.0 - Pi -(Pi)e


dt = + = -0.45 Mpa db = +
246062.5 30692479.6 A Sb

-1.45E+05 0.0
db = + = -0.59 Mpa
-P +Pe 246062.5 14308541.6
db = + =
A Sb
2.0 DUE TO GIRDER WEIGHT

-110000.0 0.0
db + = -0.45 Mpa +Mtotal -133.00
246062.5 14308541.6 dt = = = -4.3333
St 3.07E+07

3.0 COMBINED STRESSES (SERVICE DEAD)


-Mtotal 133.0
db = = = 9.3 Mpa
+Mtotal -P -Pe Sb 1.43E+07
dt = + + = -0.45 Mpa
St A St

-0.45 < -15.75 SAFE.


Project: Proposed Three-Storey Residences Designed by:
Location: Checked by:
Client:

VII. CHECKING OF STRESSES (PRESTRESS + SVC LOADS) VIII. CHECK ULTIMATE MOMENT CAPACITY

MSVC = 103.0 Knm


Aps (TOTAL) = (ncables) (Aps)
Fnet per cable = 110.00 KN
Aps (TOTAL) = 98.7 mm2
No. Of cables = 1.0 pcs

fpu = 1488.0 MPa

###DUE TO DEAD LOAD AND LIVE LOAD

Dtotal = 500.0 mm
+Mtotal 103.0
d = 341.0 mm
dt
= = = 3.3558709 Mpa
St 3.07E+07

Depth of rectangular stress block:

-Mtotal -103.0
Aps (fpu) ( 98.71 ) ( 1488 )
db
= = = -7.20 Mpa a = =
0.85f'cb 0.85 ( 35 ) ( 1181.25 )
Sb 1.43E+07

a = 4.2 mm < tflange

2.0 DUE TO PRESTRESS LOADS


Aps ( 98.71 )
ρ = = = 0.00025
bd ( 1181.25
( 341.019812039624
) )
-P -Pe
dt = + =
0.28 (fpu) (ρ)
A St fsu = fpu (1 -
β fc' )
0.28 * 1488 * 0.00025
-110000.0 0.0 fsu = 1488 (1 - )
0.81 * 35
dt = + = -0.45 Mpa
246062.5 30692479.6 fsu = 1482.7 Mpa

Considering prestressing steel only:

-P +Pe
p*fsu
db = + = Mucap = [
Φ Aps*fsu*d( 1-0.6
fc'
)]
A Sb

-110000.0 0.0 Mucap = 44.6 Knm


db + = -0.45 Mpa
246062.5 14308541.6 Mact = 103.0 Knm

Mucap < Mucap Remarks: PROVIDE NON PT


3.0 COMBINED STRESSES (SERVICE LOADS)
REINF.

-Mtotal -P -Pe
dt = + + = 2.91 Mpa
IX. DEFORMED BAR REQUIREMENT (IF ANY)
St A St

YB = 341.0 mm
YC = 159.0 mm

2.91 < 3.67 SAFE.


159.0

+Mtotal -P +Pe
500

db = + + = -7.65 Mpa
Sb A Sb
341.0

-7.65 < -15.75 SAFE.

15.75
IF Mcap < Mact:

Mact - Mcap = 58.4 KN-m

Say: 5- 20mm

AsFy ( 314.16 ) ( 5 ) ( 413 )


Ac = =
0.85fc' 0.85 ( 35 )

Ac = 21806.4 mm2

Ac 21806.4
a = =
b 1181.3

a = 18.5 mm

Mtu = Φ{AsFy[(h-d')-(a/2)]}

Mtu = 244.5
DEFLECTION:

L = 4.725 m
Eci = 27805.6 Mpa
Ec = 27805.6 Mpa

I(basic) = 1.0553E+09
I(T-section) = 1.2715E+09
e(T-section)= 0.0 mm

A. Camber due to prestressing

Initial Stress, fj = Jf -(FR+ES)


fj = 0.8fpu
fj = 1488.0 Mpa

Initial force P1 = fj(Aps)


= 146.9 KN

where:
Aps = n(Acable)
= 98.7

wps = 8Pe/L2 along length


= 0.0 kN/m
= 4Pe/L
wps = 0.0 kN/m

wg = 5.797 kN/m

Due to prestress:
δPs = 5WpsL4
384Eci(Ibasic)
δPs = 0.00 mm

Due to girder weight


δG = 5WGL4
384Eci(Ibasic)
δG = 1.06

Camber at release = -1.1 mm

B. Deflection
STAAD VALUE = 14.077 mm
(D+F+L) except SW

C. Net deflection vs. Allowable


δALLOW = L/480
= 9.8 mm

δNET = 15.1 mm

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