Lc 39.95 0 Lc/8 Lc/4 Lc/20 4.99375 9.9875 19.975

39.95 39.95 39.95 39.95

donnégper 4.437625 4.437625 4.437625 4.437625 4.437625

Lc/8 Lc/4 Lc/2M 0 522.884786 896.373919 1195.16523T 119.666105 89.7495789 59.8330526 0

M 0 387.322064 663.980681 885.307574T 88.6415594 66.4811695 44.3207797 0

DonnéenAL 0.2571625 0.2571625 0.2571625 0.2571625 0.2571625a1 1 AL 9.22974013 9.22974013 9.22974013 9.22974013a2 0.875 qAL 6.46081809 6.46081809 6.46081809 6.46081809LAL 8

Lc/8 Lc/4 Lc/2M 0 232.026064 397.758967 530.345289T 53.1009051 40.6553804 29.8692591 13.2752263

M 0 174.019548 298.319225 397.758967T 39.8256788 30.4915353 22.4019443 9.9564197

Donnéentr 0.56244 0.56244 0.56244 0.56244 0.56244qtr 0.1875 0.1875 0.1875 0.1875 0.1875

wtr 19.975 15.2933594 11.2359375 4.99375

Lc/8 Lc/4 Lc/2M 0 14.7271629 25.246565 33.6620867T 3.3704217 2.58047911 1.89586221 0.84260543

M 0 9.20447684 15.7791032 21.0388042T 2.10651356 1.61279945 1.18491388 0.52662839

0

0

0

sollicitation du au chargement prmanant

sollicitation du au chargement AL

sollicitation du au chargement du trottoire

sollicitation du au chargement BC

ELU

ELU

ELS

ELU

ELS

ELS

DonnéenBC 0.708δ_Bc 1.071bc 1.1

x=lc/8= 4.993751ére disposition 1 2 3 4

X 3.49375 4.99375 9.49375 13.99375Yi 3.18821085 4.36953125 7.23764765 9.09199683P 12 12 6 12Pi*yi 38.2585302 52.434375 43.4258859 109.103962somme 416.96568

2émé disposition 0.875 0.83745307 0.72481227 0.61217146X 4.99375 6.49375 10.99375 15.49375Yi 4.36953125 5.43821085 7.96840484 9.48483163P 12 12 6 12Pi*yi 52.434375 65.2585302 47.8104291 113.81798somme 456.080198sommepi*yi 456.080198 sommet pi*yi 41.9117647

x=lc/4= 9.98751ére disposition x 8.4875 9.9875 14.4875 18.9875

Yi 6.6843046 7.490625 9.2337414 9.96309058P 12 12 6 12Pi*Yi 80.2116552 89.8875 55.4024484 119.557087somme 520.981305

2éme disposition 0.75 0.71245307 0.59981227 0.48717146x 9.9875 11.4875 15.9875 20.4875yi 7.490625 8.1843046 9.58949859 9.98092538P 12 12 6 12Pi*Yi 89.8875 98.2116552 57.5369916 119.771105somme 537.595823somme pi*yi 537.595823 sommet pi*yi 34.4117647

0 0 x 0 1.5 6 10.5yM 0 1.4436796 5.09887359 7.74030038yT 1 0.96245307 0.84981227 0.73717146P 12 12 6 12somme pi*yi 299.658323 sommet pi*yi 49.4117647

Lc/2 19.975 0.5 0.46245307 0.34981227 0.237171462éme disposition x 19.975 21.475 25.975 30.475

Y 9.9875 9.9311796 9.08637359 7.22780038P 12 12 6 12Pi*Yi 119.85 119.174155 54.5182416 86.7336045somme 475.908323somme pi*yi 475.908323 sommet pi*yi 19.4117647

sollicitation du au chargement BC

Lc/8 Lc/4 Lc/2M 399.909518 608.662594 717.449409 595.502298T 65.9425536 55.933416 45.9242784 25.9060032M 299.932139 456.496946 538.087056 446.626723T 49.4569152 41.950062 34.4432088 19.4295024

DonnéenBt 0.628437 $δ_Bt 1.071bt 1

x=lc/8= 4.993751ére disposition 1 2

X 3.49375 4.99375Yi 3.18821085 4.36953125P 16 16Pi*yi 51.0113736 69.9125somme 120.923874

2émé disposition 0.875 0.83745307X 4.99375 6.49375Yi 4.36953125 5.43821085P 16 16Pi*yi 69.9125 87.0113736somme 156.923874sommepi*yi 156.923874 sommet pi*yi 27.3992491

x=lc/4= 9.493751ére disposition x 7.99375 9.49375

Yi 6.39424965 7.23764765P 16 16Pi*Yi 102.307994 115.802362somme 218.110357

2éme disposition 0.7623592 0.72481227x 9.49375 10.99375yi 7.23764765 7.96840484P 16 16Pi*Yi 115.802362 127.494477somme 243.29684somme pi*yi 243.29684 sommet pi*yi 23.7947434

0 x 0 1.5yM 0 1.4436796yT 1 0.96245307P 16 16somme pi*yi 23.0988736 sommet pi*yi 31.3992491

Lc/2 19.975 0.5 0.462453072éme disposition x 19.975 21.475

0

sollicitation du au chargement Bt

ELU

ELS

Y 9.9875 9.9311796P 16 16Pi*Yi 159.8 158.898874somme 318.698874somme pi*yi 318.698874 sommet pi*yi 15.3992491

Lc/8 Lc/4 Lc/2M 24.8749377 168.989694 262.003847 480.528605T 33.8135261 29.5059675 25.6243128 16.5832918M 18.6562033 126.742271 196.502885 360.396454T 25.3601446 22.1294757 19.2182346 12.4374689

DonnéeNmc 0.38209375 x 0 4.99375 9.9875 19.975δ_MC 1.06 t 0 4.23125 8.4625 16.925q 18 W M 0 24.6192188 42.204375 56.2725

V T 5.63429287 4.87179287 4.10929287 2.58429287Lc/8 Lc/4 Lc/2

ELU M 0 242.301632 415.374227 553.832303T 55.4525459 47.9480432 40.4435404 25.434535M 0 179.482691 307.684613 410.24615T 41.07596 35.517069 29.9581781 18.8403963

0

0

sollicitation du au chargement MC120

ELU

ELS

ELU

ELS

RESUTAT

0 Lc/8 Lc/4 Lc/2ELU 0 1146.27454 1639.06989 1824.32961ELS 0 853.023486 1217.84684 1352.9731

T ELU 188.97908 148.263474 107.653193 26.7486086ELS 140.204988 110.044031 79.9489024 19.9561308

0 0 0 00 0 0 00 0 0 0

M

T

perx G per c

xM = γ . g . .(L -x)2

per cx G per

L = γ . g .( -x)

2T

ALx Q1 AL AL c

xM = γ . .q . .(L -x)2

trx Q1 tr trM = . .q . .

2 cx L x

1( )². . .

2.tr cx Q tr tr

c

L xT q

L

5 615.49375 19.99375

9.48483163 9.987491212 6

113.81798 59.9249472

0.57462453 0.4619837316.99375 21.49375

9.76502562 9.9297627912 6

117.180307 59.5785767

20.4875 24.98759.98092538 9.35858495

12 6119.771105 56.1515097

0.44962453 0.3369837321.9875 26.4875

9.88611937 8.9258565412 6

118.633432 53.5551392

12 16.58.39549437 9.685231540.69962453 0.58698373

12 6

0.19962453 0.0869837331.975 36.475

6.38299437 3.1727315412 6

76.5959324 19.0363892