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quickBridgeMoment and shear envelopesV1.2 - 2001
Prof. Noyan TurkkanÉcole de génie / School of eng.Université de MonctonMoncton, N.-B., Canada, E1A 3E9
Truck definition
Number of axles3
Axle No X W1 0.0 0.00 X is the coordinate and2 4.3 0.00 W the weight of the axle3 8.6 0.00 Coordinate of axle 1 is 04 0.0 0.005 0.0 0.006 0.0 0.00
Camion de diseñoX
P1 3.63 0P2 14.51 4.3P3 14.51 8.6
Bridge geometry
Number of span1
Span No L q div L is the length,1 35 0.952 50 q uniform load and
div number of divisionson a particular spanL and div must be > 0
Results
X Vmax Mmin Mmax No Rmin Rmax0.00 16.7 0.0 0.0 1 0.0 16.70.70 16.0 0.0 11.4 2 0.0 16.71.40 15.3 0.0 22.4
2.10 14.7 0.0 32.9 M max2.80 14.0 0.0 42.9 145.8 kg-m
3.50 13.3 0.0 52.5
4.20 12.7 0.0 61.6 X4.90 12.0 0.0 70.2 17.5 m5.60 11.3 0.0 78.46.30 10.7 0.0 86.17.00 10.0 0.0 93.3 1457757.70 9.3 0.0 100.18.40 8.7 0.0 106.49.10 8.0 0.0 112.29.80 7.3 0.0 117.6
10.50 6.7 0.0 122.511.20 6.0 0.0 126.911.90 5.3 0.0 130.812.60 4.7 0.0 134.313.30 4.0 0.0 137.414.00 3.3 0.0 139.914.70 2.7 0.0 142.015.40 2.0 0.0 143.716.10 1.3 0.0 144.816.80 0.7 0.0 145.517.50 0.0 0.0 145.818.20 0.7 0.0 145.518.90 1.3 0.0 144.819.60 2.0 0.0 143.720.30 2.7 0.0 142.021.00 3.3 0.0 139.921.70 4.0 0.0 137.422.40 4.7 0.0 134.323.10 5.3 0.0 130.823.80 6.0 0.0 126.924.50 6.7 0.0 122.525.20 7.3 0.0 117.625.90 8.0 0.0 112.226.60 8.7 0.0 106.427.30 9.3 0.0 100.128.00 10.0 0.0 93.328.70 10.7 0.0 86.129.40 11.3 0.0 78.430.10 12.0 0.0 70.230.80 12.7 0.0 61.631.50 13.3 0.0 52.5
32.20 14.0 0.0 42.932.90 14.7 0.0 32.933.60 15.3 0.0 22.434.30 16.0 0.0 11.435.00 16.7 0.0 0.0
0 00.7 01.4 0
2.1 0
2.8 0
3.5 0
4.2 0
4.9 05.6 06.3 0
7 07.7 08.4 09.1 09.8 0
10.5 011.2 011.9 012.6 013.3 0
14 014.7 015.4 016.1 016.8 017.5 018.2 018.9 019.6 020.3 0
21 021.7 022.4 023.1 023.8 024.5 025.2 025.9 026.6 027.3 0
28 028.7 029.4 030.1 030.8 031.5 0
32.2 032.9 033.6 034.3 0
35 011.22 011.44 011.66 011.88 0
12.1 012.32 012.54 012.76 012.98 0
13.2 013.42 013.64 013.86 014.08 0
14.3 014.52 014.74 014.96 015.18 0
15.4 015.62 015.84 016.06 016.28 0
16.5 016.72 016.94 017.16 017.38 0
17.6 017.82 018.04 018.26 018.48 0
18.7 018.92 019.14 019.36 019.58 0
19.8 020.02 020.24 020.46 020.68 0
20.9 0
21.12 021.34 021.56 021.78 0
22 097.6129 -722.849698.3871 -677.6715
99.16129 -632.493499.93548 -587.3153100.7097 -542.1372101.4839 -496.9591102.2581 -451.781103.0323 -406.6029103.8065 -361.4248104.5806 -316.2467105.3548 -271.0686
106.129 -225.8905106.9032 -180.7124107.6774 -135.5343108.4516 -90.3562109.2258 -45.1781
110 -7.66E-11
011.4287622.39104
32.88684
42.91616
52.479
61.57536
70.2052478.3686486.06556
93.296100.06
106.3574112.1884
117.553122.451
126.8826130.8476134.3462137.3784
139.944142.0432143.6758
144.842145.5418
145.775145.5418
144.842143.6758142.0432
139.944137.3784134.3462130.8476126.8826
122.451117.553
112.1884106.3574
100.0693.296
86.0655678.3686470.2052461.57536
52.479
42.9161632.8868422.3910411.42876
1.516E-13545.149
545.1397544.6426543.6577542.1851540.2246537.7764534.8404531.4166
527.505523.1056518.2185512.8436506.9808500.6303493.7921
486.466478.6522
470.389461.7188452.5609442.9152432.7817422.1604411.0513399.4544387.3698374.7974361.7372348.1892334.1534320.7176306.8206292.4624277.6429262.3621246.6201230.4168213.7523196.6265179.0395160.9912142.4817123.5109104.0789
84.1856463.8311143.0153221.73829
1.722E-121706.299
1729.271724.9461692.1371653.9721616.8641595.9481548.899
1474.441371.38
1238.6171075.14919.066
734.2258519.8688275.3239
1.637E-11
Bridge moment envelopes
0 5 10 15 20 25 30 35 40
0.0
20.0
40.0
60.0
80.0
100.0
120.0
140.0
160.0
Span
Mo
me
nt
0 5 10 15 20 25 30 35 40
0.0
20.0
40.0
60.0
80.0
100.0
120.0
140.0
160.0
Span
Mo
me
nt
Bridge shear envelope
0 5 10 15 20 25 30 35 40
0.0
2.0
4.0
6.0
8.0
10.0
12.0
14.0
16.0
18.0
Span
Sh
ea
r
0 5 10 15 20 25 30 35 40
0.0
2.0
4.0
6.0
8.0
10.0
12.0
14.0
16.0
18.0
Span
Sh
ea
r
HELP
Partial help is provided on each worksheet.
Procedure
Truck worksheetUse the scroll bar to choose the number of axles. Input axle Xcoordinates in ascending order beginning with 0.0 for the first axle. Input the axle weights
Bridge worksheet Use the scroll bar to choose the number of spans. For each span, input the span length L, uniform load q and number of divisions.
Click the compute button to run the truck
Do not forget to use consistent units throughout.
HELP - continued
Program
Tips and tricks
2 to 20 axles and 1 to 5 spans with EI constant throughout. Truck will move from left to right with the first axle in front. Critical values of shears (absolute values) and moments will be computed on each division point. Total number of divisions must be less then 500. Results and graphs are displayed on Results, MEnvelope and VEnvelope worksheets.
Reverse the truck geometry to simulate moving from right to left.Instead of axle loads, use wheel loads multiplied by impact and lateral distributions factors to obtain quickly design moments, shears and support reactions.Use q(uniform load) to simulate lane load. Dead load or any other uniform load may be simulated by using zero axle loads.For a simple span, for example, AASHTO users may simulate lane load by choosing 2 axles with the 2nd axle weight set to 0.0.
DISCLAIMER
In using this program, the user accepts and understands that nowarranty is expressed or implied by me (N. Turkkan) on the accuracyor the reliability of the program. The users must clearly understandthe program and must verify their own results.
This program is freeware. However, any contribution is welcome.Contributions are used for scholarships and may be sent to :
Prof. Noyan TurkkanUniversité de MonctonSchool of EngineeringMoncton, N.B., CanadaE1A 3E9
Please report all bugs and suggestions to :