calculo deflexion guadua

DETERMI!R "! IER#I! MIIM! RE$%ERID!DI&E'!R RE$%ERID!DI&E'!R "! (I)%ET! (I)%ET! E )%!D%! #* %! #!R)! #!R)! DE DI&E'* + ,300-M / %! "% DE 2.00M E, 9500M! DETERMI!R "! IER#I! DE" E"EMET*

w variable y luz kte w (k/cm) l (cm) 0.3 0.35 0.4 0.45 0.5 0.55 0.6 0.65 0.7 0.75 0.8

E (k/cm2) K 200 95000 200 95000 200 95000 200 95000 200 95000 200 95000 200 95000 200 95000 200 95000 200 95000 200 95000

L/K m i cm4 De cm 350 0.00571429 115.1315789 350 0.00571429 134.3201754 350 0.00571429 153.5087719 350 0.00571429 172.6973684 350 0.00571429 191.8859649 350 0.00571429 211.0745614 350 0.00571429 230.2631579 350 0.00571429 249.4517544 350 0.00571429 268.6403509 350 0.00571429 287.8289474 350 0.00571429 307.0175439

w kte y luz variable w (k/cm) l (cm) 0.4 0.4 0.4 0.4 0.4 0.4 0.4

E (k/cm2) K 200 95000 250 95000 300 95000 350 95000 400 95000 450 95000 500 95000

L/K m i cm4 De cm 350 0.00571429 153.5087719 350 0.00714286 299.8218202 350 0.00857143 518.0921053 350 0.01 822.7110746 350 0.01142857 1228.070175 350 0.01285714 1748.560855 350 0.01428571 2398.574561

w kte y luz variable w (k/cm) l (cm) 0.3 0.35 0.4 0.4 0.4

E (k/cm2) K 200 95000 250 95000 300 95000 200 95000 250 95000

L/K m i cm4 De cm 350 0.00571429 115.1315789 350 0.00714286 262.3440927 350 0.00857143 518.0921053 350 0.00571429 153.5087719 350 0.00714286 299.8218202

t cm

I cm4 1 289.811922 1 289.811922 1 289.811922 1 289.811922 1 289.811922 1 289.811922 1 289.811922 1 289.811922 1 289.811922 1 289.811922 1 289.811922

t cm

I cm4 1 289.811922 1 527.002168 1 867.864971 2 1766.36047 2 2199.11486 1 1936.00647 2 3267.25636

t cm

I cm4 1 289.811922 1 289.811922 1 289.811922 1 527.002168 1 527.002168

10 10 10 10 10 10 10 10 10 10 10

10 12 14 15 16 18 18

10 10 10 12 12

30

0.4 0.4

300 350

w kte y luz variable w (k/cm) l (cm) 0.5 0.55 0.6 0.65 0.7 0.75 0.8 0.85 0.9 0.95

95000 95000

350 0.00857143 518.0921053 350 0.01 822.7110746

E (k/cm2) K 260 95000 260 95000 260 95000 260 95000 260 95000 260 95000 260 95000 260 95000 260 95000 260 95000

12 12

L/K m i cm4 De cm 350 0.00742857 421.5734649 350 0.00742857 463.7308114 350 0.00742857 505.8881579 350 0.00742857 548.0455044 350 0.00742857 590.2028509 350 0.00742857 632.3601974 350 0.00742857 674.5175439 350 0.00742857 716.6748904 350 0.00742857 758.8322368 350 0.00742857 800.9895833

1 527.002168 1 527.002168

t cm

12.5 12.5 12.5 12.5 12.5 12.5 12.5 12.5 12.5 12.5

I cm4 1.5 798.60267 1.5 798.60267 1.5 798.60267 1.5 798.60267 1.5 798.60267 1.5 798.60267 1.5 798.60267 1.5 798.60267 1.5 798.60267 1.5 798.60267

#*"%M!& P (CARGA) KG

2000 2000 3000 4000 5000 5000 5000 5000

LUZ CM

K= 1 KE

300 300 300 300 300 300 300 300

"% (!RI!"E / &E##I* #*&T!TE

DE( cm)

 (cm)

12 12.5 14 16 14 14 15 14

A(cm2)

1 1.7 1.5 2 2 2.5 2.5 2.5

34.55751919 57.67964112 58.90486225 87.9645943 75.39822369 90.32078879 98.17477042 90.32078879

I(cm4)

527.002168 861.805938 1167.05258 2199.11486 1394.86714 1563.67866 1994.17502 1563.67866

RADI! DE GIR!

3.905124838 3.8653913127 4.4511234537 5 4.3011626335 4.1608292443 4.5069390943 4.1608292443

E"#ELEZ

76.822128 77.6118058 67.3987148 60 69.7485832 72.1010122 66.5640235 72.1010122

E00 $

CK

75000 75000 75000 75000 75000 75000 75000 75000

59.3682139 59.3682139 59.3682139 59.3682139 59.3682139 59.3682139 59.3682139 59.3682139

P (CARGA) KG

LUZ CM

1000 1000 1000 1000 1000 1000 1000 1000

K= 1 KE

DE( cm)

300 320 340 360 380 400 420 440

 (cm)

12 12 12 12 12 12 12 12

A(cm2)

1 1 1 1 1 1 1 2

34.55751919 34.55751919 34.55751919 34.55751919 34.55751919 34.55751919 34.55751919 62.83185307 125.6637061 3.958406744

I(cm4)

527.002168 527.002168 527.002168 527.002168 527.002168 527.002168 527.002168 816.81409

RADI! DE GIR!

3.905124838 3.905124838 3.905124838 3.905124838 3.905124838 3.905124838 3.905124838 3.6055512755

E"#ELEZ

E00 $

76.822128 81.9436032 87.0650784 92.1865536 97.3080287 102.429504 107.550979 122.034043

7.91681349

CK

75000 75000 75000 75000 75000 75000 75000 75000

59.3682139 59.3682139 59.3682139 59.3682139 59.3682139 59.3682139 59.3682139 59.3682139

26.4

"% (!RI!"E / &E##I* #*&T!TE P (CARGA) KG

1000 1000 1000 1000 1000 1000 1000 1000

LUZ CM

K= 1 KE

300 320 340 360 380 400 420 440

"% (!RI!"E / &E##I* #*&T!TE

DE( cm)

 (cm)

14 14 14 14 14 14 14 14

A(cm2)

1 1 1 1 1 1 1 1

40.8407045 40.8407045 40.8407045 40.8407045 40.8407045 40.8407045 40.8407045 40.8407045

I(cm4)

867.864971 867.864971 867.864971 867.864971 867.864971 867.864971 867.864971 867.864971

RADI! DE GIR!

4.6097722286 4.6097722286 4.6097722286 4.6097722286 4.6097722286 4.6097722286 4.6097722286 4.6097722286

E"#ELEZ

65.0791373 69.4177465 73.7563557 78.0949648 82.433574 86.7721831 91.1107923 95.4494014

E00 $

CK

75000 75000 75000 75000 75000 75000 75000 75000

59.3682139 59.3682139 59.3682139 59.3682139 59.3682139 59.3682139 59.3682139 59.3682139

P (CARGA) KG

LUZ CM

1500 1500 1500 1500 1500 1500 1500 1500 P (CARGA) KG

1000 1000 1000 1000 1000 1000 1000 1000

K= 1 KE

DE( cm)

300 320 340 360 380 400 420 440 LUZ CM

 (cm)

15 15 15 15 15 15 15 15 K= 1 KE

DE( cm)

300 320 340 360 380 400 420 440

A(cm2)

1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5  (cm)

16 16 16 16 16 16 16 16

63.61725124 63.61725124 63.61725124 63.61725124 63.61725124 63.61725124 63.61725124 63.61725124 A(cm2)

1 1 1 1 1 1 1 1

47.1238898 47.1238898 47.1238898 47.1238898 47.1238898 47.1238898 47.1238898 47.1238898

I(cm4)

1467.17286 1467.17286 1467.17286 1467.17286 1467.17286 1467.17286 1467.17286 1467.17286 I(cm4)

1331.24989 1331.24989 1331.24989 1331.24989 1331.24989 1331.24989 1331.24989 1331.24989

RADI! DE GIR!

4.8023431781 4.8023431781 4.8023431781 4.8023431781 4.8023431781 4.8023431781 4.8023431781 4.8023431781 RADI! DE GIR!

5.3150729064 5.3150729064 5.3150729064 5.3150729064 5.3150729064 5.3150729064 5.3150729064 5.3150729064

E"#ELEZ

E00$

62.4695048 66.6341384 70.7987721 74.9634057 79.1280394 83.292673 87.4573067 91.6219403 E"#ELEZ

CK

75000 75000 75000 75000 75000 75000 75000 75000 E00$

59.3682139 59.3682139 59.3682139 59.3682139 59.3682139 59.3682139 59.3682139 59.3682139 CK

56.4432521 60.2061356 63.9690191 67.7319025 71.494786 75.2576695 79.0205529 82.7834364

75000 75000 75000 75000 75000 75000 75000 75000

59.3682139 59.3682139 59.3682139 59.3682139 59.3682139 59.3682139 59.3682139 59.3682139

& #3 MM;< -= 272.2713633111 129.52125 272.2713633111 146.25 272.2713633111 163.125 272.2713633111 180 272.2713633111 196.875 272.2713633111 213.75

E>?uerz@ De le
E>?uerz@ eBMCa 4.75706473 5.37147933 5.99126541 6.61105148 7.23083756 7.85062364

#!"#%"* *R "EI*

#!R)! + kM 115.13 130 145 160 175 190

"% M

 # 3 3 3 3 3 3

6 6 6 6 6 6

:e  12 12 12 12 12 12

t  2 2 2 2 2 2

! 2 62.83185307 62.83185307 62.83185307 62.83185307 62.83185307 62.83185307

I4 816.81409 816.81409 816.81409 816.81409 816.81409 816.81409

205 220 235 250 265 280 295 310 325 340 355 370

#!R)! + kM 115.13 115.13 115.13 115.13 115.13 115.13 115.13 115.13 115.13 115.13 115.13 115.13 115.13

3 3 3 3 3 3 3 3 3 3 3 3

"% M 3 3.2 3.4 3.6 3.8 4 4.2 4.4 4.6 4.8 5 5.2 5.4

6 6 6 6 6 6 6 6 6 6 6 6

 # 6 6 6 6 6 6 6 6 6 6 6 6 6

12 12 12 12 12 12 12 12 12 12 12 12

:e  12 12 12 12 12 12 12 12 12 12 12 12 12

2 2 2 2 2 2 2 2 2 2 2 2

t  2 2 2 2 2 2 2 2 2 2 2 2 2

62.83185307 62.83185307 62.83185307 62.83185307 62.83185307 62.83185307 62.83185307 62.83185307 62.83185307 62.83185307 62.83185307 62.83185307

! 2 62.83185307 62.83185307 62.83185307 62.83185307 62.83185307 62.83185307 62.83185307 62.83185307 62.83185307 62.83185307 62.83185307 62.83185307 62.83185307

816.81409 816.81409 816.81409 816.81409 816.81409 816.81409 816.81409 816.81409 816.81409 816.81409 816.81409 816.81409

I4 816.81409 816.81409 816.81409 816.81409 816.81409 816.81409 816.81409 816.81409 816.81409 816.81409 816.81409 816.81409 816.81409

272.2713633111 272.2713633111 272.2713633111 272.2713633111 272.2713633111 272.2713633111 272.2713633111 272.2713633111 272.2713633111 272.2713633111 272.2713633111 272.2713633111

& #3 272.2713633111 272.2713633111 272.2713633111 272.2713633111 272.2713633111 272.2713633111 272.2713633111 272.2713633111 272.2713633111 272.2713633111 272.2713633111 272.2713633111 272.2713633111

230.625 247.5 264.375 281.25 298.125 315 331.875 348.75 365.625 382.5 399.375 416.25

84.7040971 90.9019579 97.0998186 103.297679 109.49554 115.693401 121.891262 128.089122 134.286983 140.484844 146.682705 152.880566

8.47040971 9.09019579 9.70998186 10.3297679 10.949554 11.5693401 12.1891262 12.8089122 13.4286983 14.0484844 14.6682705 15.2880566

MM;< -= 129.52125 147.3664 166.36285 186.5106 207.80965 230.26 253.86165 278.6146 304.51885 331.5744 359.78125 389.1394 419.64885

E>?uerz@ De le
E>?uerz@ eBMCa 4.75706473 5.41248254 6.11018537 6.85017321 7.63244608 8.45700397 9.32384688 10.2329748 11.1843877 12.1780857 13.2140687 14.2923367 15.4128897

%C

%ADMI"I#LE

140 140 140 140 140 140 140 140

41.9375 41.0884375 54.484375 68.75 50.875 47.609375 55.859375 47.609375

PADMI"I#LE

1449.25596 2369.96633 3209.3946 6047.56586 3835.88463 4300.1163 5483.98132 4300.1163

%C

%ADMI"I#LE

140 140 140 140 140 140 140 140

%C

41.9375 36.8591309 32.6503028 29.1232639 26.138331 23.5898438 21.3966837 16.6193182

%ADMI"I#LE

140 140 140 140 140 140 140 140

58.4375 51.361084 45.4963235 40.5815972 36.4222645 32.8710938 29.815051 27.1661932

PADMI"I#LE

1449.25596 1273.76012 1128.31346 1006.42775 903.275876 815.206478 739.416307 1044.22256

PADMI"I#LE

2386.62867 2097.62285 1858.1019 1657.38102 1487.51094 1342.47863 1217.66769 1109.48647

%C

%ADMI"I#LE

140 140 140 140 140 140 140 140 %C

63.421875 55.7418823 49.3768923 44.0429688 39.5288695 35.6748047 32.3580995 29.4833097 %ADMI"I#LE

PADMI"I#LE

4034.72536 3546.14533 66.6389005 3141.22216 2801.89261 2514.71802 2269.53301 2058.53334 1875.64712 PADMI"I#LE

140 140 140 140 140 140 140 140

77.6875 68.2800293 60.4833478 53.9496528 48.420187 43.6992188 39.6364796 36.1150568

3660.93719 3217.62058 2850.21061 2542.31749 2281.74756 2059.27717 1867.8251 1701.88196

#@rtaBte -) 172.695 195 217.5 240 262.5 285

E&%ER* -#M2 1.37426314 1.5517607 1.73081001 1.90985932 2.08890863 2.26795794

E&%ER* M! 0.13742631 0.15517607 0.173081 0.19098593 0.20889086 0.22679579

307.5 330 352.5 375 397.5 420 442.5 465 487.5 510 532.5 555

2.44700725 2.62605656 2.80510587 2.98415518 3.16320449 3.3422538 3.52130312 3.70035243 3.87940174 4.05845105 4.23750036 4.41654967

0.24470073 0.26260566 0.28051059 0.29841552 0.31632045 0.33422538 0.35213031 0.37003524 0.38794017 0.4058451 0.42375004 0.44165497

#@rtaBte -) 172.695 184.208 195.721 207.234 218.747 230.26 241.773 253.286 264.799 276.312 287.825 299.338 310.851

E&%ER* -#M2 1.37426314 1.46588069 1.55749823 1.64911577 1.74073332 1.83235086 1.9239684 2.01558595 2.10720349 2.19882103 2.29043857 2.38205612 2.47367366

E&%ER* M! 0.13742631 0.14658807 0.15574982 0.16491158 0.17407333 0.18323509 0.19239684 0.20155859 0.21072035 0.2198821 0.22904386 0.23820561 0.24736737

DETERMI!R "! IER#I! MIIM! RE$%ERID!DI&E'!R "! (I)%ET! E )%!D%! #* %! #!R)! DE DI&E'* + ,300-M / %! "% DE 2.00M E, 9500M! DETERMI!R "! IER#I! DE" E"EMET*

w variable y luz kte w (k/cm) l (cm) 0.3 0.35 0.4 0.45 0.5 0.55 0.6 0.65 0.7 0.75 0.8

E (k/cm2) K 200 95000 200 95000 200 95000 200 95000 200 95000 200 95000 200 95000 200 95000 200 95000 200 95000 200 95000

L/K m i cm4 De cm 350 0.00571429 115.1315789 350 0.00571429 134.3201754 350 0.00571429 153.5087719 350 0.00571429 172.6973684 350 0.00571429 191.8859649 350 0.00571429 211.0745614 350 0.00571429 230.2631579 350 0.00571429 249.4517544 350 0.00571429 268.6403509 350 0.00571429 287.8289474 350 0.00571429 307.0175439

w kte y luz variable w (k/cm) l (cm) 0.4 0.4 0.4 0.4 0.4 0.4 0.4

E (k/cm2) K 200 95000 250 95000 300 95000 350 95000 400 95000 450 95000 500 95000

L/K m i cm4 De cm 350 0.00571429 153.5087719 350 0.00714286 299.8218202 350 0.00857143 518.0921053 350 0.01 822.7110746 350 0.01142857 1228.070175 350 0.01285714 1748.560855 350 0.01428571 2398.574561

w kte y luz variable w (k/cm) l (cm) 0.3 0.35 0.4 0.4 0.4

E (k/cm2) K 200 95000 250 95000 300 95000 200 95000 250 95000

L/K m i cm4 De cm 350 0.00571429 115.1315789 350 0.00714286 262.3440927 350 0.00857143 518.0921053 350 0.00571429 153.5087719 350 0.00714286 299.8218202

t cm

I cm4 1 289.811922 1 289.811922 1 289.811922 1 289.811922 1 289.811922 1 289.811922 1 289.811922 1 289.811922 1 289.811922 1 289.811922 1 289.811922

t cm

I cm4 1 289.811922 1 527.002168 1 867.864971 2 1766.36047 2 2199.11486 1 1936.00647 2 3267.25636

t cm

I cm4 1 289.811922 1 289.811922 1 289.811922 1 527.002168 1 527.002168

10 10 10 10 10 10 10 10 10 10 10

10 12 14 15 16 18 18

10 10 10 12 12

30

0.4 0.4

300 350


95000 95000

350 0.00857143 518.0921053 350 0.01 822.7110746

E (k/cm2) K 260 95000 260 95000 260 95000 260 95000 260 95000 260 95000 260 95000 260 95000 260 95000 260 95000

12 12

L/K m i cm4 De cm 350 0.00742857 337.2587719 350 0.00742857 379.4161184 350 0.00742857 421.5734649 350 0.00742857 463.7308114 350 0.00742857 505.8881579 350 0.00742857 548.0455044 350 0.00742857 590.2028509 350 0.00742857 632.3601974 350 0.00742857 674.5175439 350 0.00742857 758.8322368

1 527.002168 1 527.002168

t cm

13 13 13 13 13 13 13 13 13 13

I cm4 1 683.296402 1 683.296402 1 683.296402 1 683.296402 1 683.296402 1 683.296402 1 683.296402 1 683.296402 1 683.296402 1 683.296402


2000 2000 3000 4000 5000 5000 5000 5000

LUZ CM

K= 1 KE

300 300 300 300 300 300 300 300

"% (!RI!"E / &E##I* #*&T!TE

DE( cm)

 (cm)

12 12.5 14 16 14 14 15 14

A(cm2)

1 1.7 1.5 2 2 2.5 2.5 2.5

34.55751919 57.67964112 58.90486225 87.9645943 75.39822369 90.32078879 98.17477042 90.32078879

I(cm4)

527.002168 861.805938 1167.05258 2199.11486 1394.86714 1563.67866 1994.17502 1563.67866

RADI! DE GIR!

3.905124838 3.8653913127 4.4511234537 5 4.3011626335 4.1608292443 4.5069390943 4.1608292443

E"#ELEZ

76.822128 77.6118058 67.3987148 60 69.7485832 72.1010122 66.5640235 72.1010122

E00$

CK

76000 76000 76000 76000 76000 76000 76000 76000

58.723261 58.723261 58.723261 58.723261 58.723261 58.723261 58.723261 58.723261

P (CARGA) KG

LUZ CM

1000 1000 1000 1000 1000 1000 1000 1000

K= 1 KE

DE( cm)

300 320 340 360 380 400 420 440

 (cm)

12 12 12 12 12 12 12 12

A(cm2)

1 1 1 1 1 1 1 2

34.55751919 34.55751919 34.55751919 34.55751919 34.55751919 34.55751919 34.55751919 62.83185307 125.6637061 3.958406744

I(cm4)

527.002168 527.002168 527.002168 527.002168 527.002168 527.002168 527.002168 816.81409

RADI! DE GIR!

3.905124838 3.905124838 3.905124838 3.905124838 3.905124838 3.905124838 3.905124838 3.6055512755

E"#ELEZ

E00$

76.822128 81.9436032 87.0650784 92.1865536 97.3080287 102.429504 107.550979 122.034043

7.91681349

CK

76000 76000 76000 76000 76000 76000 76000 76000

58.723261 58.723261 58.723261 58.723261 58.723261 58.723261 58.723261 58.723261

26.4


1000 1000 1000 1000 1000 1000 1000 1000

LUZ CM

K= 1 KE

300 320 340 360 380 400 420 440

"% (!RI!"E / &E##I* #*&T!TE

DE( cm)

 (cm)

14 14 14 14 14 14 14 14

A(cm2)

1 1 1 1 1 1 1 1

40.8407045 40.8407045 40.8407045 40.8407045 40.8407045 40.8407045 40.8407045 40.8407045

I(cm4)

867.864971 867.864971 867.864971 867.864971 867.864971 867.864971 867.864971 867.864971

RADI! DE GIR!

4.6097722286 4.6097722286 4.6097722286 4.6097722286 4.6097722286 4.6097722286 4.6097722286 4.6097722286

E"#ELEZ

65.0791373 69.4177465 73.7563557 78.0949648 82.433574 86.7721831 91.1107923 95.4494014

E00$

CK

76000 76000 76000 76000 76000 76000 76000 76000

58.723261 58.723261 58.723261 58.723261 58.723261 58.723261 58.723261 58.723261

P (CARGA) KG

LUZ CM

1500 1500 1500 1500 1500 1500 1500 1500 P (CARGA) KG

1000 1000 1000 1000  1000 1000 1000

K= 1 KE

DE( cm)

300 320 340 360 380 400 420 440 LUZ CM

 (cm)

15 15 15 15 15 15 15 15 K= 1 KE

DE( cm)

300 320 340 360 380 400 420 440

A(cm2)

1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5  (cm)

16 16 16 16 16 16 16 16

63.61725124 63.61725124 63.61725124 63.61725124 63.61725124 63.61725124 63.61725124 63.61725124 A(cm2)

1 1 1 1 1 1 1 1

47.1238898 47.1238898 47.1238898 47.1238898 47.1238898 47.1238898 47.1238898 47.1238898

I(cm4)

1467.17286 1467.17286 1467.17286 1467.17286 1467.17286 1467.17286 1467.17286 1467.17286 I(cm4)

1331.24989 1331.24989 1331.24989 1331.24989 1331.24989 1331.24989 1331.24989 1331.24989

RADI! DE GIR!

4.8023431781 4.8023431781 4.8023431781 4.8023431781 4.8023431781 4.8023431781 4.8023431781 4.8023431781 RADI! DE GIR!

5.3150729064 5.3150729064 5.3150729064 5.3150729064 5.3150729064 5.3150729064 5.3150729064 5.3150729064

E"#ELEZ

E00$

62.4695048 66.6341384 70.7987721 74.9634057 79.1280394 83.292673 87.4573067 91.6219403 E"#ELEZ

CK

76000 76000 76000 76000 76000 76000 76000 76000 E00$

58.723261 58.723261 58.723261 58.723261 58.723261 58.723261 58.723261 58.723261 CK

56.4432521 60.2061356 63.9690191 67.7319025 71.494786 75.2576695 79.0205529 82.7834364

75000 76000 76000 76000 76000 76000 76000 76000

58.3356445 58.723261 58.723261 58.723261 58.723261 58.723261 58.723261 58.723261

& #3 MM;< -= 149.2060160914 45 149.2060160914 61.875 149.2060160914 78.75 149.2060160914 95.625 149.2060160914 112.5 149.2060160914 129.375

E>?uerz@ De le
E>?uerz@ eBMCa 3.01596418 4.14695075 5.27793732 6.40892388 7.53991045 8.67089702

#!"#%"* *R "EI*

#!R)! + kM 40 55 70 85 100 115

"% M

 # 3 3 3 3 3 3

5 5 5 5 5 5

:e  10 10 10 10 10 10

t  1.5 1.5 1.5 1.5 1.5 1.5

! 2 40.05530633 40.05530633 40.05530633 40.05530633 40.05530633 40.05530633

I4 373.01504 373.01504 373.01504 373.01504 373.01504 373.01504

130 145 160 175 190 205 220 235 250 265 280 295

#!R)! + kM 115.13 115.13 115.13 115.13 115.13 115.13 115.13 115.13 115.13 115.13 115.13 115.13 115.13

3 3 3 3 3 3 3 3 3 3 3 3

"% M 3 3.2 3.4 3.6 3.8 4 4.2 4.4 4.6 4.8 5 5.2 5.4

5 5 5 5 5 5 5 5 5 5 5 5

 # 6 6 6 6 6 6 6 6 6 6 6 6 6

10 10 10 10 10 10 10 10 10 10 10 10

:e  12 12 12 12 12 12 12 12 12 12 12 12 12

1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5

t  2 2 2 2 2 2 2 2 2 2 2 2 2

40.05530633 40.05530633 40.05530633 40.05530633 40.05530633 40.05530633 40.05530633 40.05530633 40.05530633 40.05530633 40.05530633 40.05530633

! 2 62.83185307 62.83185307 62.83185307 62.83185307 62.83185307 62.83185307 62.83185307 62.83185307 62.83185307 62.83185307 62.83185307 62.83185307 62.83185307

373.01504 373.01504 373.01504 373.01504 373.01504 373.01504 373.01504 373.01504 373.01504 373.01504 373.01504 373.01504

I4 816.81409 816.81409 816.81409 816.81409 816.81409 816.81409 816.81409 816.81409 816.81409 816.81409 816.81409 816.81409 816.81409

149.2060160914 149.2060160914 149.2060160914 149.2060160914 149.2060160914 149.2060160914 149.2060160914 149.2060160914 149.2060160914 149.2060160914 149.2060160914 149.2060160914

& #3 272.2713633111 272.2713633111 272.2713633111 272.2713633111 272.2713633111 272.2713633111 272.2713633111 272.2713633111 272.2713633111 272.2713633111 272.2713633111 272.2713633111 272.2713633111

146.25 163.125 180 196.875 213.75 230.625 247.5 264.375 281.25 298.125 315 331.875

98.0188359 109.328702 120.638567 131.948433 143.258299 154.568164 165.87803 177.187896 188.497761 199.807627 211.117493 222.427358

9.80188359 10.9328702 12.0638567 13.1948433 14.3258299 15.4568164 16.587803 17.7187896 18.8497761 19.9807627 21.1117493 22.2427358

MM;< -= 129.52125 147.3664 166.36285 186.5106 207.80965 230.26 253.86165 278.6146 304.51885 331.5744 359.78125 389.1394 419.64885

E>?uerz@ De le
E>?uerz@ eBMCa 4.75706473 5.41248254 6.11018537 6.85017321 7.63244608 8.45700397 9.32384688 10.2329748 11.1843877 12.1780857 13.2140687 14.2923367 15.4128897

%C

%ADMI"I#LE

145 145 145 145 145 145 145 145

42.4966667 41.6362833 55.2108333 69.6666667 51.5533333 48.2441667 56.6041667 48.2441667

PADMI"I#LE

1468.57937 2401.56588 3252.18653 6128.20007 3887.02976 4357.45119 5557.10107 4357.45119

%C

%ADMI"I#LE

145 145 145 145 145 145 145 145

%C

42.4966667 37.3505859 33.0856401 29.5115741 26.4868421 23.904375 21.6819728 16.8409091

%ADMI"I#LE

145 145 145 145 145 145 145 145

59.2166667 52.0458984 46.1029412 41.1226852 36.9078947 33.309375 30.212585 27.5284091

PADMI"I#LE

1468.57937 1290.74359 1143.35764 1019.84679 915.319554 826.075898 749.275191 1058.14553

PADMI"I#LE

2418.45038 2125.59116 1882.8766 1679.47943 1507.34442 1360.37834 1233.90326 1124.27962

%C

%ADMI"I#LE

145 145 145 145 145 145 145 145 %C

64.2675 56.4851074 50.0352509 44.6302083 40.0559211 36.1504688 32.7895408 29.8764205 %ADMI"I#LE

PADMI"I#LE

4088.52169 3593.42727 66.6389005 3183.10512 2839.25118 2548.24759 2299.79345 2085.98046 1900.65575 PADMI"I#LE

145 145 145 145 145 145 145 145

77.6875 69.1904297 61.2897924 54.6689815 49.0657895 44.281875 40.164966 36.5965909

3660.93719 3260.52218 2888.21342 2576.21506 2312.17086 2086.7342 1892.72943 1724.57372

#@rtaBte -) 60 82.5 105 127.5 150 172.5

E&%ER* -#M2 0.74896444 1.0298261 1.31068777 1.59154943 1.8724111 2.15327276

E&%ER* M! 0.07489644 0.10298261 0.13106878 0.15915494 0.18724111 0.21532728

195 217.5 240 262.5 285 307.5 330 352.5 375 397.5 420 442.5

2.43413442 2.71499609 2.99585775 3.27671942 3.55758108 3.83844275 4.11930441 4.40016607 4.68102774 4.9618894 5.24275107 5.52361273

0.24341344 0.27149961 0.29958578 0.32767194 0.35575811 0.38384427 0.41193044 0.44001661 0.46810277 0.49618894 0.52427511 0.55236127

#@rtaBte -) 172.695 184.208 195.721 207.234 218.747 230.26 241.773 253.286 264.799 276.312 287.825 299.338 310.851

E&%ER* -#M2 1.37426314 1.46588069 1.55749823 1.64911577 1.74073332 1.83235086 1.9239684 2.01558595 2.10720349 2.19882103 2.29043857 2.38205612 2.47367366

E&%ER* M! 0.13742631 0.14658807 0.15574982 0.16491158 0.17407333 0.18323509 0.19239684 0.20155859 0.21072035 0.2198821 0.22904386 0.23820561 0.24736737

DETERMI!R "! IER#I! MIIM! RE$%ERID!DI&E'!R "! (I)%ET! E )%!D%! #* %! #!R)! DE DI&E'* + ,300-M / %! "% DE 2.00M E, 9500M! DETERMI!R "! IER#I! DE" E"EMET*

w variable y luz kte w (k/cm) l (cm) 0.3 0.35 0.4 0.45 0.5 0.55 0.6 0.65 0.7 0.75 0.8 w kte y luz variable w (k/cm) l (cm) 0.4 0.4 0.4 0.4 0.4 0.4 0.4 w kte y luz variable w (k/cm) l (cm) 0.3 0.35 0.4 0.4 0.4 0.4 0.4

E (k/cm2)

200 200 200 200 200 200 200 200 200 200 200

K

95000 95000 95000 95000 95000 95000 95000 95000 95000 95000 95000

E (k/cm2)

200 250 300 350 400 450 500

K

95000 95000 95000 95000 95000 95000 95000

E (k/cm2)

200 250 300 200 250 300 350

350 350 350 350 350 350 350 350 350 350 350

K

95000 95000 95000 95000 95000 95000 95000

L/K m i cm4 De cm 0.00571429 115.1315789 0.00571429 134.3201754 0.00571429 153.5087719 0.00571429 172.6973684 0.00571429 191.8859649 0.00571429 211.0745614 0.00571429 230.2631579 0.00571429 249.4517544 0.00571429 268.6403509 0.00571429 287.8289474 0.00571429 307.0175439

L/K m i cm4 De cm 350 0.00571429 153.5087719 350 0.00714286 299.8218202 350 0.00857143 518.0921053 350 0.01 822.7110746 350 0.01142857 1228.070175 350 0.01285714 1748.560855 350 0.01428571 2398.574561

L/K m i cm4 De cm 350 0.00571429 115.1315789 350 0.00714286 262.3440927 350 0.00857143 518.0921053 350 0.00571429 153.5087719 350 0.00714286 299.8218202 350 0.00857143 518.0921053 350 0.01 822.7110746

t cm

10 10 10 10 10 10 10 10 10 10 10

1 1 1 1 1 1 1 1 1 1 1

t cm

I cm4 1 289.811922 1 527.002168 1 867.864971 2 1766.36047 2 2199.11486 1 1936.00647 2 3267.25636

t cm

I cm4 1 289.811922 1 289.811922 1 289.811922 1 527.002168 1 527.002168 1 527.002168 1 527.002168

10 12 14 15 16 18 18

10 10 10 12 12 12 12

I cm4 289.811922 289.811922 289.811922 289.811922 289.811922 289.811922 289.811922 289.811922 289.811922 289.811922 289.811922

30


E (k/cm2)

260 260 260 260 260 260 260 260 260 260

K

95000 95000 95000 95000 95000 95000 95000 95000 95000 95000

L/K m i cm4 De cm 350 0.00742857 337.2587719 350 0.00742857 379.4161184 350 0.00742857 421.5734649 350 0.00742857 463.7308114 350 0.00742857 505.8881579 350 0.00742857 548.0455044 350 0.00742857 590.2028509 350 0.00742857 632.3601974 350 0.00742857 674.5175439 350 0.00742857 758.8322368

t cm

I cm4 1 683.296402 1 683.296402 1 683.296402 1 683.296402 1 683.296402 1 683.296402 1 683.296402 1 683.296402 1 683.296402 1 683.296402

13 13 13 13 13 13 13 13 13 13


LUZ CM

2000 2000 3000 4000 5000 5000 5000 5000

K= 1 KE

DE( cm)

300 300 300 300 300 300 300 300

 (cm)

12 12.5 14 16 14 14 15 14

A(cm2)

1 1.7 1.5 2 2 2.5 2.5 2.5

34.55751919 57.67964112 58.90486225 87.9645943 75.39822369 90.32078879 98.17477042 90.32078879

I(cm4)

527.002168 861.805938 1167.05258 2199.11486 1394.86714 1563.67866 1994.17502 1563.67866

RADI! DE GIR!

3.905124838 3.8653913127 4.4511234537 5 4.3011626335 4.1608292443 4.5069390943 4.1608292443

E"#ELEZ

E00$

76.822128 77.6118058 67.3987148 60 69.7485832 72.1010122 66.5640235 72.1010122

CK

76000 76000 76000 76000 76000 76000 76000 76000

58.7232609731 58.7232609731 58.7232609731 58.7232609731 58.7232609731 58.7232609731 58.7232609731 58.7232609731


LUZ CM

1000 1000 1000 1000 1000

K= 1 KE

300 320 340 360 380

DE( cm)

 (cm)

12 12 12 12 12

A(cm2)

1 1 1 1 1

34.55751919 34.55751919 34.55751919 34.55751919 34.55751919

I(cm4)

527.002168 527.002168 527.002168 527.002168 527.002168

RADI! DE GIR!

3.905124838 3.905124838 3.905124838 3.905124838 3.905124838

E"#ELEZ

76.822128 81.9436032 87.0650784 92.1865536 97.3080287

E00$

CK

76000 76000 76000 76000 76000

58.7232609731 58.7232609731 58.7232609731 58.7232609731 58.7232609731

1000 1000 1000

400 420 440

12 12 12

1 34.55751919 527.002168 1 34.55751919 527.002168 2 62.83185307 816.81409 125.6637061 3.958406744 7.91681349

3.905124838 102.429504 3.905124838 107.550979 3.6055512755 122.034043

76000 76000 76000

58.7232609731 58.7232609731 58.7232609731

26.4


LUZ CM

1000 1000 1000 1000 1000 1000 1000 1000

K= 1 KE

DE( cm)

300 320 340 360 380 400 420 440

 (cm)

14 14 14 14 14 14 14 14

A(cm2)

1 1 1 1 1 1 1 1

40.8407045 40.8407045 40.8407045 40.8407045 40.8407045 40.8407045 40.8407045 40.8407045

I(cm4)

867.864971 867.864971 867.864971 867.864971 867.864971 867.864971 867.864971 867.864971

RADI! DE GIR!

4.6097722286 4.6097722286 4.6097722286 4.6097722286 4.6097722286 4.6097722286 4.6097722286 4.6097722286

E"#ELEZ

E00$

65.0791373 69.4177465 73.7563557 78.0949648 82.433574 86.7721831 91.1107923 95.4494014

CK

76000 76000 76000 76000 76000 76000 76000 76000

58.7232609731 58.7232609731 58.7232609731 58.7232609731 58.7232609731 58.7232609731 58.7232609731 58.7232609731


LUZ CM

1500 1500 1500 1500 1500 1500 1500 1500 P (CARGA) KG

K= 1 KE

DE( cm)

300 320 340 360 380 400 420 440 LUZ CM

 (cm)

15 15 15 15 15 15 15 15 K= 1 KE

DE( cm)

A(cm2)

1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5  (cm)

63.61725124 63.61725124 63.61725124 63.61725124 63.61725124 63.61725124 63.61725124 63.61725124 A(cm2)

I(cm4)

1467.17286 1467.17286 1467.17286 1467.17286 1467.17286 1467.17286 1467.17286 1467.17286 I(cm4)

RADI! DE GIR!

4.8023431781 4.8023431781 4.8023431781 4.8023431781 4.8023431781 4.8023431781 4.8023431781 4.8023431781 RADI! DE GIR!

E"#ELEZ

E00$

62.4695048 66.6341384 70.7987721 74.9634057 79.1280394 83.292673 87.4573067 91.6219403 E"#ELEZ

CK

76000 76000 76000 76000 76000 76000 76000 76000 E00$

58.7232609731 58.7232609731 58.7232609731 58.7232609731 58.7232609731 58.7232609731 58.7232609731 58.7232609731 CK

1000 1000 1000 1000

300 320 340 360 380 400 420 440

 1000 1000 1000

16 16 16 16 16 16 16 16

1 1 1 1 1 1 1 1

47.1238898 47.1238898 47.1238898 47.1238898 47.1238898 47.1238898 47.1238898 47.1238898

1331.24989 1331.24989 1331.24989 1331.24989 1331.24989 1331.24989 1331.24989 1331.24989

5.3150729064 5.3150729064 5.3150729064 5.3150729064 5.3150729064 5.3150729064 5.3150729064 5.3150729064

56.4432521 60.2061356 63.9690191 67.7319025 71.494786 75.2576695 79.0205529 82.7834364

75000 76000 76000 76000 76000 76000 76000 76000

58.3356444534 58.7232609731 58.7232609731 58.7232609731 58.7232609731 58.7232609731 58.7232609731 58.7232609731

& #3 MM;< -= 149.2060160914 45 149.2060160914 61.875 149.2060160914 78.75 149.2060160914 95.625 149.2060160914 112.5 149.2060160914 129.375 149.2060160914 146.25 149.2060160914 163.125 149.2060160914 180 149.2060160914 196.875 149.2060160914 213.75 149.2060160914 230.625 149.2060160914 247.5 149.2060160914 264.375 149.2060160914 281.25 149.2060160914 298.125 149.2060160914 315 149.2060160914 331.875

E>?uerz@ De le
E>?uerz@ eBMCa 3.0159641802 4.1469507478 5.2779373153 6.4089238829 7.5399104505 8.670897018 9.8018835856 10.9328701532 12.0638567207 13.1948432883 14.3258298559 15.4568164235 16.587802991 17.7187895586 18.8497761262 19.9807626937 21.1117492613 22.2427358289

#!"#%"* *R "EI*

#!R)! + kM 40 55 70 85 100 115 130 145 160 175 190 205 220 235 250 265 280 295

"% M

 # 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3

:e  5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5

t  10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10

1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5

! 2 40.05530633 40.05530633 40.05530633 40.05530633 40.05530633 40.05530633 40.05530633 40.05530633 40.05530633 40.05530633 40.05530633 40.05530633 40.05530633 40.05530633 40.05530633 40.05530633 40.05530633 40.05530633

I4 373.01504 373.01504 373.01504 373.01504 373.01504 373.01504 373.01504 373.01504 373.01504 373.01504 373.01504 373.01504 373.01504 373.01504 373.01504 373.01504 373.01504 373.01504

#!R)! + kM 115.13 115.13 115.13 115.13 115.13 115.13 115.13 115.13 115.13 115.13 115.13 115.13 115.13

"% M

 #

3 3.2 3.4 3.6 3.8 4 4.2 4.4 4.6 4.8 5 5.2 5.4

:e  6 6 6 6 6 6 6 6 6 6 6 6 6

t  12 12 12 12 12 12 12 12 12 12 12 12 12

2 2 2 2 2 2 2 2 2 2 2 2 2

! 2 62.83185307 62.83185307 62.83185307 62.83185307 62.83185307 62.83185307 62.83185307 62.83185307 62.83185307 62.83185307 62.83185307 62.83185307 62.83185307

I4 816.81409 816.81409 816.81409 816.81409 816.81409 816.81409 816.81409 816.81409 816.81409 816.81409 816.81409 816.81409 816.81409

& #3 272.2713633111 272.2713633111 272.2713633111 272.2713633111 272.2713633111 272.2713633111 272.2713633111 272.2713633111 272.2713633111 272.2713633111 272.2713633111 272.2713633111 272.2713633111

MM;< -= 129.52125 147.3664 166.36285 186.5106 207.80965 230.26 253.86165 278.6146 304.51885 331.5744 359.78125 389.1394 419.64885

E>?uerz@ De le
 #M

t 

E>?uerz@ eBMCa 4.7570647322 5.4124825398 6.1101853672 6.8501732144 7.6324460815 8.4570039684 9.3238468751 10.2329748017 11.1843877482 12.1780857145 13.2140687006 14.2923367066 15.4128897324

#!R)! #RITI#! #*"%M!& #R #R,FG
#R MB !RTI#%"!D!= !RTI#%"!D! I RE#T!)%"!R I #IR#%"!R "e,1" E M! 4 M4 "  0.9565719282 21538 0.00045 3.269074E=07 1.5190007933 21538 0.0007145833 0.000001655

r 10 10

RE"!#I* DE E&E"TE b #M 20 20

30 35

DI!METR* M 0.0508 0.0762

2.2674297556 3.2284302575 4.4285737415 7.6525754253

21538 21538 21538 21538

0.0010666667 5.230518E=06 0.00151875 2.64795E=05 0.0020833333 8.368829E=05 0.0036 0.0002043171

#R MB EM*TR!D!= EM*TR!D! "e,05" E M! I RE#T!)%"!R 3.8262877126 21538 0.00045 6.0760031733 21538 0.0007145833 9.0697190225 21538 0.0010666667 12.9137210301 21538 0.00151875 17.7142949659 21538 0.0020833333 1.7005723167 21538 0.0002

#R MB !RTI#%"!D!= EM*TR!D! "e,0.7" E M! I RE#T!)%"!R 1.9521876085 21538 0.00045 3.100001619 21538 0.0007145833 4.6274076646 21538 0.0010666667 6.5886331786 21538 0.00151875 9.0379055948 21538 0.0020833333 0.8676389371 21538 0.0002

#R MB "IRE =EM*TR!D! "e,2" E M! I RE#T!)%"!R 0.239142982 21538 0.00045 0.3797501983 21538 0.0007145833 0.5668574389 21538 0.0010666667 0.8071075644 21538 0.00151875 1.1071434354 21538 0.0020833333

10 10 10 10

" 

20 20 20 20

r

RE"!#I* DE E&E"TE b #M

10 10 10 10 10 10

" 


10 10 10 10 10 10

 #M


t 

DI!METR* #M

t 

DI!METR* #M

t 

DI!METR* #M

30 35 40 45 50 20

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30 35 40 45 50 20

20 20 20 20 20 30

r 10 10 10 10 10

 #M 20 20 20 20 20 30

r

" 

40 45 50 60

30 35 40 45 50

0.1062857698

21538

0.0002

10

30

20

%C

%ADMI"I#LE

145 145 145 145 145 145 145 145

%C

42.4966667 41.6362833 55.2108333 69.6666667 51.5533333 48.2441667 56.6041667 48.2441667

%ADMI"I#LE

145 145 145 145 145

42.4966667 37.3505859 33.0856401 29.5115741 26.4868421

PADMI"I#LE

1468.5793738226 2401.5658802335 3252.1865324732 6128.2000696025 3887.0297584336 4357.4511878837 5557.1010675804 4357.4511878837

PADMI"I#LE

1468.5793738226 1290.7435902738 1143.3576439795 1019.8467873768 915.3195543216

145 23.904375 145 21.6819728 145 16.8409091

%C

%ADMI"I#LE

145 145 145 145 145 145 145 145

%C

%ADMI"I#LE

145 145 145 145 145 145 145 145 %C

59.2166667 52.0458984 46.1029412 41.1226852 36.9078947 33.309375 30.212585 27.5284091

64.2675 56.4851074 50.0352509 44.6302083 40.0559211 36.1504688 32.7895408 29.8764205 %ADMI"I#LE

826.0758977752 749.2751907258 1058.1455255955

PADMI"I#LE

2418.450384611 2125.5911583495 1882.8765970155 1679.4794337576 1507.3444225415 1360.3783413437 1233.9032574546 1124.2796209452

PADMI"I#LE

4088.5216937578 3593.4272699043 66.6389004581 3183.1051248979 2839.2511762207 2548.2475930623 2299.7934527388 2085.9804559989 1900.6557460651 PADMI"I#LE

145 145 145 145 145 145 145 145

77.6875 69.1904297 61.2897924 54.6689815 49.0657895 44.281875 40.164966 36.5965909

3660.9371891364 3260.5221840746 2888.2134225713 2576.2150590219 2312.1708562967 2086.7341978077 1892.7294311181 1724.5737171965

#@rtaBte -) 60 82.5 105 127.5 150 172.5 195 217.5 240 262.5 285 307.5 330 352.5 375 397.5 420 442.5

E&%ER* -#M2 0.74896444 1.0298261 1.31068777 1.59154943 1.8724111 2.15327276 2.43413442 2.71499609 2.99585775 3.27671942 3.55758108 3.83844275 4.11930441 4.40016607 4.68102774 4.9618894 5.24275107 5.52361273

E&%ER* M! 0.0748964438 0.1029826102 0.1310687767 0.1591549431 0.1872411095 0.2153272759 0.2434134424 0.2714996088 0.2995857752 0.3276719417 0.3557581081 0.3838442745 0.4119304409 0.4400166074 0.4681027738 0.4961889402 0.5242751067 0.5523612731

#@rtaBte -) 172.695 184.208 195.721 207.234 218.747 230.26 241.773 253.286 264.799 276.312 287.825 299.338 310.851

E&%ER* -#M2 1.37426314 1.46588069 1.55749823 1.64911577 1.74073332 1.83235086 1.9239684 2.01558595 2.10720349 2.19882103 2.29043857 2.38205612 2.47367366

E&%ER* M! 0.1374263145 0.1465880688 0.1557498231 0.1649115774 0.1740733317 0.183235086 0.1923968403 0.2015585946 0.2107203489 0.2198821032 0.2290438575 0.2382056118 0.2473673661

#R - DI!METR* CulH 3.141592654 956.571928 3.141592654 1519.00079

#R=#IR#%"!R k EM! " M 2 69.4583661912 200000 3.048 3 351.632978843 200000 3.048

9.2416 9.2416

3.141592654 3.141592654 3.141592654 3.141592654

2267.42976 3228.43026 4428.57374 7652.57543

#R - 3.141592654 3826.28771 3.141592654 6076.00317 3.141592654 9069.71902 3.141592654 12913.721 3.141592654 17714.295 3.141592654 1700.57232

#R - 3.141592654 1952.18761 3.141592654 3100.00162 3.141592654 4627.40766 3.141592654 6588.63318 3.141592654 9037.90559 3.141592654 867.638937

3.141592654 3.141592654 3.141592654 3.141592654 3.141592654

#R - 239.142982 379.750198 566.857439 807.107564 1107.14344

4 6 8 10

1111.33385906 5626.12766149 17781.3417449 43411.4788695

200000 200000 200000 200000

3.048 3.048 3.048 3.048

9.2416 9.2416 9.2416 9.2416

3.141592654

106.28577

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#!R)! M%ERT! - #!R)! (I(! -

200.05 50.01 250.06 80.1 20.02 100.12

M*MET* #!R)! M%ERT! -=M M*MET* #!R)! (I(! -=M

NB

N 422.6014

?y Ca 0.65

!

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?O kB2 b  240 21100

#

:O 0.35

0.07

D E 1824.095 0.2316773 0.6932139 0.34434734 11.5623612

calculo deflexion guadua

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