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5T Girder

The document presents a detailed analysis of vertical and horizontal loads on an abutment with a total width of 8.92m, including various unfactored and factored forces and moments. It evaluates stability and safety criteria under different strength conditions, confirming that all criteria meet the required design margins. The analysis includes calculations for eccentricity, sliding, and bearing capacity, indicating satisfactory performance of the structure.

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16 views1 page

5T Girder

The document presents a detailed analysis of vertical and horizontal loads on an abutment with a total width of 8.92m, including various unfactored and factored forces and moments. It evaluates stability and safety criteria under different strength conditions, confirming that all criteria meet the required design margins. The analysis includes calculations for eccentricity, sliding, and bearing capacity, indicating satisfactory performance of the structure.

Uploaded by

damikiyas12
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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Total Width of the abutment = 8.

92m
Moment Factored Factored
Unfactored Factored Forces Factored Forces Arm from Pt. Unfactored Moments Moments
Loads (Strength I) (Strength Ia) A Moments (Strength I) (Strength Ia)
W1 513.79 642.24 462.41 1.50 770.69 963.36 693.62
W2 368.65 460.81 331.78 3.30 1216.53 1520.66 1094.88
W3 32.11 40.14 28.90 3.30 105.97 132.46 95.37
W4 46.24 57.80 41.62 3.50 161.84 202.31 145.66
W5 254.81 318.51 229.33 3.98 1014.99 1268.74 913.49
W6 196.95 246.19 177.26 4.18 822.28 1027.85 740.05
W7 128.45 160.56 115.60 5.00 642.24 802.80 578.02
Vertical Loads

W8 200.66 250.83 180.60 4.37 876.22 1095.28 788.60


W9 215.20 269.00 193.68 4.18 898.47 1123.09 808.62
W10 604.39 755.48 543.95 5.00 3021.94 3777.42 2719.75
W11 606.92 758.65 546.23 1.50 910.38 1137.97 819.34
RDL 782.74 978.43 704.47 3.20 2504.78 3130.97 2254.30
RLL 890.59 1558.52 1558.52 3.20 2849.87 4987.28 4987.28
Pav 195.71 264.21 195.71 5.50 1076.42 1453.16 1076.42
Ppv 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Qsv 33.60 45.36 33.60 5.50 184.79 249.47 184.79
Qlv 28.46 38.42 28.46 5.50 156.52 211.30 156.52
TOTAL 5,099.27 6,845.15 5,372.11 17,213.93 23,084.12 18,056.70
Brf 162.50 284.38 284.38 6.58 1069.25 1871.19 1871.19
EQ 37.82 0.00 0.00 3.70 139.95 0.00 0.00
Horizontal Loads

WL 9.93 0.00 0.00 6.58 65.33 0.00 0.00


CR,SH,TU 89.06 44.53 44.53 4.78 425.70 212.85 212.85
Pah 234.57 351.85 211.11 1.59 373.75 560.62 336.37
Pph 0.00 0.00 0.00 -0.67 0.00 0.00 0.00
Qsh 40.27 60.40 36.24 2.39 96.24 144.36 86.62
Qlh 32.84 49.27 29.56 2.39 78.50 117.75 70.65
TOTAL 606.99 790.43 605.82 2,248.72 2,906.77 2,577.68
∑M 20,177.35 15,479.02

Stability and Safety Criteria


1 Eccentricity %=(emax-e)*100/emax

Design Margin
V ∑M Xo=∑M/V e=B/2-Xo emax=B/4 Remark
(%)
Strength I 6,845.153 20,177.35 2.948 -0.198 1.375 85.62 OK!
Strength Ia 5,372.114 15,479.02 2.881 -0.131 1.375 90.45 OK!

2 Sliding %=(φs*Fr-H)*100/φs*Fr φs = 0.8


Design Margin
V tanδ Fr=V*tanδ φs *Fr HL Remark
(%)
Strength I 6,845.153 0.33 2225.080 1780.064 790.428 55.60 OK!
Strength Ia 5,372.114 0.33 1746.255 1397.004 605.818 56.63 OK!

3 Bearing Capacity %=(φb*RI*qult-qmax)*100/(φb*RI*qult) φb = 0.5 2


sult= 500 Kpa RI=(1-(H/V))3= 0.684 qmax=Vn/(2*Xo*B)
Design Margin
Hn Vn Hn/Vn φb*RI*qult (%) Remark
qmax
Strength I 606.994 5,099.27 0.119 170.929 157.266 7.99 OK!
Strength Ia 606.994 5,099.27 0.119 170.929 160.885 5.88 OK!

Designed by: Dr. Abrham G. Criteria (Abt) 11/29/2015

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