1
Grinda bi hi Ai Zi Ai*Zi Zg Ii0 di Ai*(Zg-Zi)2 Ii 1 65 20 1300 10 13000 43333.33333 102.4082 13633677 13677009.99 2 20 160 3200 100 320000 6826666.667 12.40822 492684.6 7319351.244 3 130 20 2600 190 494000 86666.66667 -77.5918 15653259 15739925.8 4 22.5 22.5 253.125 27.5 6960.938 7119.140625 84.90822 1824881 1832000.001 5 22.5 22.5 253.125 27.5 6960.938 7119.140625 84.90822 1824881 1832000.001 6 15 15 112.5 175 19687.5 1406.25 -62.5918 440744.7 442150.9751 7 15 15 112.5 175 19687.5 1406.25 -62.5918 440744.7 442150.9751 7831.25 880296.9 41284588.98 Antretoaza bi hi Ai Zi Ai*Zi Zg Ii0 di Ai*(Zg-Zi)2 Ii 8 25 140 3500 70 245000 5716666.667 25.3125 2242529 7959195.964 9 81 20 1620 150 243000 54000 -54.6875 4844971 4898970.703 5120 488000 12858166.67 Grinda+Placa bi hi Ai Zi Ai*Zi Zg Ii0 di Ai*(Zg-Zi)2 Ii 1 65 20 1300 10 13000 43333.33333 115.5716 17363824 17407157.64 2 20 160 3200 100 320000 6826666.667 25.57157 32000000 8919163.376 3 210 20 4200 190 798000 140000 -64.4284 1.52E+08 17574294.58 4 22.5 22.5 253.125 27.5 6960.938 7119.140625 98.07157 191425.8 2441683.732 5 22.5 22.5 253.125 27.5 6960.938 7119.140625 98.07157 191425.8 2441683.732 6 15 15 112.5 175 19687.5 1406.25 -49.4284 3445313 276262.834 7 15 15 112.5 175 19687.5 1406.25 -49.4284 3445313 276262.834 9431.25 1184297 7027050.781 49336508.72 k11 k12 k13 k14 k15 k21 k22 k23 k24 k25 k31 k32 k33 k34 k35 50 0.634 0.382 0.165 -0.012 -0.17 0.382 0.314 0.215 0.102 -0.012 0.166 0.215 0.24 0.215 0.166 100 0.618 0.39 0.182 -0.006 -0.184 0.39 0.307 0.208 0.101 -0.006 0.182 0.208 0.221 0.208 0.182 0 0.65 0.374 0.148 -0.018 -0.156 0.374 0.321 0.222 0.103 -0.018 0.15 0.222 0.259 0.222 0.15 η l=1 η*l l=28,00m LM0,5 k11*LM0,5 η l=1 η l=28,00/2 LM*,5 (1- k11)*LM*,5 1 2 3 4 5 6 7 8 9 10 11 12 13 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0.05 1.4 0.91 -0.048 -0.672 -0.25410403 0.655895968 2.072 0.774928 0.306656 -0.0373 -0.32323 2 0.1 2.8 1.82 -0.084 -1.176 -0.44468206 1.375317944 3.976 1.487024 0.588448 -0.07157 -0.62026 3 0.15 4.2 2.73 -0.096 -1.344 -0.50820806 2.221791936 5.544 2.073456 0.820512 -0.09979 -0.86486 4 0.2 5.6 3.64 -0.072 -1.008 -0.38115605 3.258843952 6.608 2.471392 0.977984 -0.11894 -1.03085 5 0.25 7 4.55 0 0 0 4.55 7 2.618 1.036 -0.126 -1.092 0 η l=1 k11*LT10 η l=1 η l=24,00/2 LM*,5 (1- k11)*LM*,5 1 2 3 4 5 6 7 8 9 10 11 12 13 0 0 0 0 0 0 0 0 0 0 0 1 -0.1 -0.065 -0.048 -0.01815029 -0.08315029 -0.04685 -0.01818 -0.008334067 0.000349 0.008462 2 -0.2 -0.13 -0.084 -0.031763 -0.161763 -0.09824 -0.03812 -0.01747532 0.000732 0.017743 3 -0.3 -0.195 -0.096 -0.03630058 -0.23130058 -0.1587 -0.06159 -0.028230945 0.001182 0.028663 4 -0.4 -0.26 -0.072 -0.02722543 -0.28722543 -0.23277 -0.09033 -0.041408128 0.001734 0.042041 5 -0.5 -0.325 0 0 -0.325 -0.325 -0.12612 -0.057814055 0.002421 0.058698 6 -0.6 0 0.128 0.04840077 0.048400768 -0.0484 -0.01878 -0.008609984 0.000361 0.008742 7 -0.7 -0.455 0.304 0.11495182 -0.34004818 -0.56995 -0.22118 -0.101388388 0.004246 0.102939 8 -0.8 -0.52 0.516 0.1951156 -0.3248844 -0.71512 -0.27751 -0.127211484 0.005328 0.129157 9 -0.9 -0.585 0.752 0.28435451 -0.30064549 -0.86935 -0.33737 -0.154648953 0.006477 0.157014 10 -1 -0.65 1 0.378131 -0.271869 -1.02813 -0.39898 -0.182893607 0.00766 0.185691 Grinda bi hi Ai Zi Ai*Zi Zg Ii0 di Ai*(Zg-Zi)2 Ii 1 65 20 1300 10 13000 43333.33333 102.8238 13744557 13787890.61 2 20 160 3200 100 320000 6826666.667 12.82381 526240.5 7352907.18 3 130 20 2600 190 494000 86666.66667 -77.1762 15486026 15572692.95 4 22.5 22.5 253.125 27.5 6960.938 7119.140625 85.32381 1842789 1849907.852 5 22.5 22.5 253.125 27.5 6960.938 7119.140625 85.32381 1842789 1849907.852 6 15 15 112.5 175 19687.5 1406.25 -62.1762 434911.3 436317.5615 7 15 15 112.5 175 19687.5 1406.25 -62.1762 434911.3 436317.5615 8 10.1 10.1 51.005 176.6333 9009.183 289.0566694 -176.633 1591322 1591611.11 7882.255 889306.1 42877552.68 Grinda bi hi Ai Zi Ai*Zi Zg Ii0 di Ai*(Zg-Zi)2 Ii 1 65 20 1300 10 13000 43333.33333 97.12651 12263627 12306960.47 2 20 160 3200 100 320000 6826666.667 7.126512 162519 6989185.622 3 130 20 2600 190 494000 86666.66667 -82.8735 17856839 17943505.7 4 22.5 22.5 253.125 27.5 6960.938 7119.140625 79.62651 1604909 1612028.186 5 22.5 22.5 253.125 27.5 6960.938 7119.140625 79.62651 1604909 1612028.186 6 15 15 112.5 175 19687.5 1406.25 -67.8735 518266.2 519672.4169 7 15 15 112.5 175 19687.5 1406.25 -67.8735 518266.2 519672.4169 8 10.1 10.1 51.005 176.6333 9009.183 289.0566694 -176.633 1591322 1591611.11 9 62.99 20 629.9 35.83333 22571.42 13997.77778 -35.8333 808809.1 822806.875 8512.155 911877.5 43917470.98 Determinarea liniilor de infulenta forta taietoare Sect. Determinarea LM5 din incarcarea directa k11=0.617391 Determinarea LM5 din incarcarea indirecta Pe grinda simplu rezemata Pe grinda cu 2 deschideri LM5 (4)+(7) Δ=LM0,5- LM*,5 (3)-(6) k12Δ k13Δ k14Δ k15Δ Momente De Inertie 112.40822 95.3125 125.571571 Interpolare kij Moment pt sectiunea ideala in faza initiala Moment pt sectiunea ideala in faza finala 112.823812 107.126512 Determinarea liniilor de infulenta Sect. Determinarea LM5 din incarcarea directa k11=0.617391 Determinarea LM5 din incarcarea indirecta Pe grinda simplu rezemata Pe grinda cu 2 deschideri LM5 (4)+(7) Δ=LM0,5- LM*,5 (3)-(6) k12Δ k13Δ k14Δ k15Δ Print to PDF without this message by purchasing novaPDF (http://www.novapdf.com/)

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Grinda bi hi Ai Zi Ai*Zi Zg Ii0 di Ai*(Zg-Zi)2 Ii1 65 20 1300 10 13000 43333.33333 102.4082 13633677 13677009.992 20 160 3200 100 320000 6826666.667 12.40822 492684.6 7319351.2443 130 20 2600 190 494000 86666.66667 -77.5918 15653259 15739925.84 22.5 22.5 253.125 27.5 6960.938 7119.140625 84.90822 1824881 1832000.0015 22.5 22.5 253.125 27.5 6960.938 7119.140625 84.90822 1824881 1832000.0016 15 15 112.5 175 19687.5 1406.25 -62.5918 440744.7 442150.97517 15 15 112.5 175 19687.5 1406.25 -62.5918 440744.7 442150.9751

7831.25 880296.9 41284588.98

Antretoaza bi hi Ai Zi Ai*Zi Zg Ii0 di Ai*(Zg-Zi)2 Ii8 25 140 3500 70 245000 5716666.667 25.3125 2242529 7959195.9649 81 20 1620 150 243000 54000 -54.6875 4844971 4898970.703

5120 488000 12858166.67

Grinda+Placa bi hi Ai Zi Ai*Zi Zg Ii0 di Ai*(Zg-Zi)2 Ii1 65 20 1300 10 13000 43333.33333 115.5716 17363824 17407157.642 20 160 3200 100 320000 6826666.667 25.57157 32000000 8919163.3763 210 20 4200 190 798000 140000 -64.4284 1.52E+08 17574294.584 22.5 22.5 253.125 27.5 6960.938 7119.140625 98.07157 191425.8 2441683.7325 22.5 22.5 253.125 27.5 6960.938 7119.140625 98.07157 191425.8 2441683.7326 15 15 112.5 175 19687.5 1406.25 -49.4284 3445313 276262.8347 15 15 112.5 175 19687.5 1406.25 -49.4284 3445313 276262.834

9431.25 1184297 7027050.781 49336508.72

k11 k12 k13 k14 k15 k21 k22 k23 k24 k25 k31 k32 k33 k34 k3550 0.634 0.382 0.165 -0.012 -0.17 0.382 0.314 0.215 0.102 -0.012 0.166 0.215 0.24 0.215 0.166100 0.618 0.39 0.182 -0.006 -0.184 0.39 0.307 0.208 0.101 -0.006 0.182 0.208 0.221 0.208 0.182

0 0.65 0.374 0.148 -0.018 -0.156 0.374 0.321 0.222 0.103 -0.018 0.15 0.222 0.259 0.222 0.15

ηl=1

η*ll=28,00m

LM0,5k11*LM0,5

ηl=1

ηl=28,00/2

LM*,5

(1-k11)*LM*,5

1 2 3 4 5 6 7 8 9 10 11 12 130 0 0 0 0 0 0 0 0 0 0 0 01 0.05 1.4 0.91 -0.048 -0.672 -0.25410403 0.655895968 2.072 0.774928 0.306656 -0.0373 -0.323232 0.1 2.8 1.82 -0.084 -1.176 -0.44468206 1.375317944 3.976 1.487024 0.588448 -0.07157 -0.620263 0.15 4.2 2.73 -0.096 -1.344 -0.50820806 2.221791936 5.544 2.073456 0.820512 -0.09979 -0.864864 0.2 5.6 3.64 -0.072 -1.008 -0.38115605 3.258843952 6.608 2.471392 0.977984 -0.11894 -1.030855 0.25 7 4.55 0 0 0 4.55 7 2.618 1.036 -0.126 -1.092

0

ηl=1 k11*LT10

ηl=1

ηl=24,00/2

LM*,5

(1-k11)*LM*,5

1 2 3 4 5 6 7 8 9 10 11 12 130 0 0 0 0 0 0 0 0 0 01 -0.1 -0.065 -0.048 -0.01815029 -0.08315029 -0.04685 -0.01818 -0.008334067 0.000349 0.0084622 -0.2 -0.13 -0.084 -0.031763 -0.161763 -0.09824 -0.03812 -0.01747532 0.000732 0.0177433 -0.3 -0.195 -0.096 -0.03630058 -0.23130058 -0.1587 -0.06159 -0.028230945 0.001182 0.0286634 -0.4 -0.26 -0.072 -0.02722543 -0.28722543 -0.23277 -0.09033 -0.041408128 0.001734 0.0420415 -0.5 -0.325 0 0 -0.325 -0.325 -0.12612 -0.057814055 0.002421 0.0586986 -0.6 0 0.128 0.04840077 0.048400768 -0.0484 -0.01878 -0.008609984 0.000361 0.0087427 -0.7 -0.455 0.304 0.11495182 -0.34004818 -0.56995 -0.22118 -0.101388388 0.004246 0.1029398 -0.8 -0.52 0.516 0.1951156 -0.3248844 -0.71512 -0.27751 -0.127211484 0.005328 0.1291579 -0.9 -0.585 0.752 0.28435451 -0.30064549 -0.86935 -0.33737 -0.154648953 0.006477 0.157014

10 -1 -0.65 1 0.378131 -0.271869 -1.02813 -0.39898 -0.182893607 0.00766 0.185691

Grinda bi hi Ai Zi Ai*Zi Zg Ii0 di Ai*(Zg-Zi)2 Ii1 65 20 1300 10 13000 43333.33333 102.8238 13744557 13787890.612 20 160 3200 100 320000 6826666.667 12.82381 526240.5 7352907.183 130 20 2600 190 494000 86666.66667 -77.1762 15486026 15572692.954 22.5 22.5 253.125 27.5 6960.938 7119.140625 85.32381 1842789 1849907.8525 22.5 22.5 253.125 27.5 6960.938 7119.140625 85.32381 1842789 1849907.8526 15 15 112.5 175 19687.5 1406.25 -62.1762 434911.3 436317.56157 15 15 112.5 175 19687.5 1406.25 -62.1762 434911.3 436317.56158 10.1 10.1 51.005 176.6333 9009.183 289.0566694 -176.633 1591322 1591611.11

7882.255 889306.1 42877552.68

Grinda bi hi Ai Zi Ai*Zi Zg Ii0 di Ai*(Zg-Zi)2 Ii1 65 20 1300 10 13000 43333.33333 97.12651 12263627 12306960.472 20 160 3200 100 320000 6826666.667 7.126512 162519 6989185.6223 130 20 2600 190 494000 86666.66667 -82.8735 17856839 17943505.74 22.5 22.5 253.125 27.5 6960.938 7119.140625 79.62651 1604909 1612028.1865 22.5 22.5 253.125 27.5 6960.938 7119.140625 79.62651 1604909 1612028.1866 15 15 112.5 175 19687.5 1406.25 -67.8735 518266.2 519672.41697 15 15 112.5 175 19687.5 1406.25 -67.8735 518266.2 519672.41698 10.1 10.1 51.005 176.6333 9009.183 289.0566694 -176.633 1591322 1591611.119 62.99 20 629.9 35.83333 22571.42 13997.77778 -35.8333 808809.1 822806.875

8512.155 911877.5 43917470.98

Determinarea liniilor de infulenta forta taietoare

Sect.

Determinarea LM5 din incarcarea directa k11=0.617391 Determinarea LM5 din incarcarea indirecta Pe grinda simplu rezemata Pe grinda cu 2 deschideri

LM5

(4)+(7)

Δ=LM0,5-LM*,5

(3)-(6)

k12Δ k13Δ k14Δk15Δ

Momente De Inertie

112.40822

95.3125

125.571571

Interpolare kij

Moment pt sectiunea ideala in faza initiala

Moment pt sectiunea ideala in faza finala

112.823812

107.126512

Determinarea liniilor de infulenta

Sect.

Determinarea LM5 din incarcarea directa k11=0.617391 Determinarea LM5 din incarcarea indirecta Pe grinda simplu rezemata Pe grinda cu 2 deschideri

LM5

(4)+(7)

Δ=LM0,5-LM*,5

(3)-(6)

k12Δ k13Δ k14Δk15Δ

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