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TITLE
: DESIGN OF T - BENT CAP
Date :5/28/1998
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PROJECT
: METRO MANILA SKYWAY
Designed by :
afb
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BRIDGE NAME
: TYPICAL COPING PIER
Checked by :
afb
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LOCATION
: P1D2Job No. :4
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LEDGE.XLS FOR INVERTED T-CAP LEDGE DESIGN
AFB
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1. DATA
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1,1Dimensions
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Girder Spacing, S=2,60m.
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Bearing Pads thick , T
=0,05m.
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Bearing Pads length, B
=0,40m.
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Bearing Pads width, W
=0,40m.
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Ledge Flange height, h
=1,00m.
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Ledge Flange depth, d
=0,95m.
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Edge of Pad to Edge of Cap, x
=0,85m.
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From Face of Concrete, av
=0,40m.
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1,2
Ledge Effective Length
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Interior Girder, bint =W+d
=1,35m.
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Between Girders, bf =S-W-d
=1,25m.
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Ext. Girders, bext = W+d/2+x
=1,35m.
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1,3Loads per Girder
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DL per Girder , DLncdl
=251,52KN
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Added Load per Girder, DLcdl
=101,53KN
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LL+I per girder=215,43KN
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2. MATERIALS
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Conc. Strength @ 28 days, fc'
=27 580KPa
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Min. Yiel Stress of Steel, fy
=413 700
Kpa when f = or > 20 mm.
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=275 800
Kpa when f = or < 16 mm.
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3. DESIGN LOADS
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3,1Vertical Shear, Vu
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Added DL + LL
wu = 1.3(DLa+5/3*LL)/S
wu =230,65KN/m.
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Interior GirderVu-int =638,35KN
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Design for DL+Added (DL+LL+I)
Vu-int = 1.3*DLg +wg*bint
Vu-ext =638,35KN
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Exterior GirderVu-bet.=288,31KN
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Design for DL+Added (DL+LL+I)
Vu-ext = 1.3*DLg +wU*bext
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Between Girders
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Design for Added DL + LL +I
Vu-bet = wu*bf
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3,2
Horizontal Shear, NUC
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NUC, Greater Value of :
1. Horizontal Pad Shear, Fs
Contributory L =
20,00 m.
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2. 0.20*Vu per AASHTO Art. 8.16.6.8.3
0,000006
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Pad Shear Mod.,G =
1 165,00Kpa20,00
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Pad Displacement, Ds :
1. Temperature Movement =1.5*at*DT*L
= 0,0036m.
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2. P/S Shortening = 0.001* Contributory L
= 0,0200m.
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3. Shrinkage = .00005* Contributory L
= 0,0010m.
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Total Pad Displacement, DS, m. =
0,0246m.
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INT. GIRDEREXT. GIRDERBET. GIRDERS
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1. Pad Shear Fs =G*ADs/t
=91,7191,7191,71KN
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2. Min. Shear, 0.20Vu
=127,67127,6757,66KN
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Adopt Horizontal Shear, NUC
=127,67127,6791,71KN
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4. REINFORCEMENT AND DIMENSION CHECK
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4,1
Flange Dimension Check
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a=0,20 m.
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Interior Girder
ExteriorGirder
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Interior Girder, bo =W+2d+2(a+B)
=3,50 m.
Exterior Girder, bo =W+d+a+B =
1,95 m.
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4.1.1 Check Punching Shear
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Vc = f*332*fc'1/2*bo*d
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Vc(int.) =4 927,72KN
Vc > Vu , depth okay
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Vc(ext.) =2 745,44KN
Vc > Vu , depth okay
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Therefore use, h =
1,00 m.
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4.1.2 Check Applicability of Corbel Design
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av/d<1,00
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av/d =0,42
Corbel Design Okay
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4,2
Compute Primary Tension Reinforcement, As
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As to resist simultaneously :
1. Shear VU
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2. Moment VUav +NUC(h-d)
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3. Tensile Force NUC