6 QuickBridge

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quickBridge Moment and shear envelopes V1.2 - 2001 Prof. Noyan Turkkan École de génie / School of eng. Université de Moncton Moncton, N.-B., Canada, E1A 3E9 [email protected]

Transcript of 6 QuickBridge

Page 1: 6 QuickBridge

quickBridgeMoment and shear envelopesV1.2 - 2001

Prof. Noyan TurkkanÉcole de génie / School of eng.Université de MonctonMoncton, N.-B., Canada, E1A 3E9

[email protected]

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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

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Camion de diseñoX

P1 3.63 0P2 14.51 4.3P3 14.51 8.6

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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.

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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.

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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 :

[email protected]