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Análise Dinâmica de uma Coluna: Dados Experimentais - Prof. Augusto, Exercícios de Estruturas e Materiais

Documento contendo dados experimentais de uma análise dinâmica de uma coluna, incluindo medidas de forças, deslocamentos e ângulos. Os dados foram obtidos por estudantes durante um experimento e estão apresentados em tabela.

Tipologia: Exercícios

2023

Compartilhado em 11/01/2024

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bg1
Medidas Barra L2
L1 (m) 0.1 b (m) 0.003
L2 (m) 0.5 h (m) 0.01
L3 (m) 0.3 A (m²) 0.00003
Fprens (N) 795
h (m) 0Barra L1
T esc (Mpa) 1.50E+08 b (m) 0.005
G SAE 1020 210000000000 h (m) 0.01
A (m²) 0.00005
β1-Graus β1-Rad β2'-Graus β2'-Rad β2-Graus
0 0.00 0.00 0.00 180.00
1 0.02 0.20 0.00 179.80
2 0.03 0.40 0.01 179.60
3 0.05 0.60 0.01 179.40
4 0.07 0.80 0.01 179.20
5 0.09 1.00 0.02 179.00
6 0.10 1.20 0.02 178.80
7 0.12 1.40 0.02 178.60
8 0.14 1.60 0.03 178.40
9 0.16 1.79 0.03 178.21
10 0.17 1.99 0.03 178.01
11 0.19 2.19 0.04 177.81
12 0.21 2.38 0.04 177.62
13 0.23 2.58 0.05 177.42
14 0.24 2.77 0.05 177.23
15 0.26 2.97 0.05 177.03
16 0.28 3.16 0.06 176.84
17 0.30 3.35 0.06 176.65
18 0.31 3.54 0.06 176.46
19 0.33 3.73 0.07 176.27
20 0.35 3.92 0.07 176.08
21 0.37 4.11 0.07 175.89
22 0.38 4.30 0.07 175.70
23 0.40 4.48 0.08 175.52
24 0.42 4.67 0.08 175.33
25 0.44 4.85 0.08 175.15
26 0.45 5.03 0.09 174.97
27 0.47 5.21 0.09 174.79
28 0.49 5.39 0.09 174.61
29 0.51 5.56 0.10 174.44
30 0.52 5.74 0.10 174.26
31 0.54 5.91 0.10 174.09
32 0.56 6.08 0.11 173.92
pf3
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pf2a
pf2b
pf2c
pf2d
pf2e
pf2f
pf30
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pf35
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pf40
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β1-Graus β1-Rad β2'-Graus β2'-Rad β2-Graus

Se SR for menor que SR(D) a Coluna é Jonhson SR < (SR)D = Jonhson

((PI()^2)*($B$8))/(U13^2) Euler

$B$7-

(((1/$B$8)(($B$7U13)/

 - Medidas Barra L 
  • L1 (m) 0.1 b (m) 0.
  • L2 (m) 0.5 h (m) 0.
  • L3 (m) 0.3 A (m²) 0.
  • Fprens (N)
  • h (m) 0 Barra L
  • T esc (Mpa) 1.50E+08 b (m) 0.
  • G SAE 1020 210000000000 h (m) 0. - A (m²) 0. - 0 0.00 0.00 0.00 180. - 1 0.02 0.20 0.00 179. - 2 0.03 0.40 0.01 179. - 3 0.05 0.60 0.01 179. - 4 0.07 0.80 0.01 179. - 5 0.09 1.00 0.02 179. - 6 0.10 1.20 0.02 178. - 7 0.12 1.40 0.02 178. - 8 0.14 1.60 0.03 178. - 9 0.16 1.79 0.03 178.
    • 10 0.17 1.99 0.03 178.
    • 11 0.19 2.19 0.04 177.
    • 12 0.21 2.38 0.04 177.
    • 13 0.23 2.58 0.05 177.
    • 14 0.24 2.77 0.05 177.
    • 15 0.26 2.97 0.05 177.
    • 16 0.28 3.16 0.06 176.
    • 17 0.30 3.35 0.06 176.
    • 18 0.31 3.54 0.06 176.
    • 19 0.33 3.73 0.07 176.
    • 20 0.35 3.92 0.07 176.
    • 21 0.37 4.11 0.07 175.
    • 22 0.38 4.30 0.07 175.
    • 23 0.40 4.48 0.08 175.
    • 24 0.42 4.67 0.08 175.
    • 25 0.44 4.85 0.08 175.
    • 26 0.45 5.03 0.09 174.
    • 27 0.47 5.21 0.09 174.
    • 28 0.49 5.39 0.09 174.
    • 29 0.51 5.56 0.10 174.
    • 30 0.52 5.74 0.10 174.
    • 31 0.54 5.91 0.10 174.
    • 32 0.56 6.08 0.11 173.
  • 33 0.58 6.25 0.11 173.
  • 34 0.59 6.42 0.11 173.
  • 35 0.61 6.59 0.11 173.
  • 36 0.63 6.75 0.12 173.
  • 37 0.65 6.91 0.12 173.
  • 38 0.66 7.07 0.12 172.
  • 39 0.68 7.23 0.13 172.
  • 40 0.70 7.39 0.13 172.
  • 41 0.72 7.54 0.13 172.
  • 42 0.73 7.69 0.13 172.
  • 43 0.75 7.84 0.14 172.
  • 44 0.77 7.99 0.14 172.
  • 45 0.79 8.13 0.14 171.
  • 46 0.80 8.27 0.14 171.
  • 47 0.82 8.41 0.15 171.
  • 48 0.84 8.55 0.15 171.
  • 49 0.86 8.68 0.15 171.
  • 50 0.87 8.81 0.15 171.
  • 51 0.89 8.94 0.16 171.
  • 52 0.91 9.07 0.16 170.
  • 53 0.93 9.19 0.16 170.
  • 54 0.94 9.31 0.16 170.
  • 55 0.96 9.43 0.16 170.
  • 56 0.98 9.54 0.17 170.
  • 57 0.99 9.66 0.17 170.
  • 58 1.01 9.77 0.17 170.
  • 59 1.03 9.87 0.17 170.
  • 60 1.05 9.97 0.17 170.
  • 61 1.06 10.07 0.18 169.
  • 62 1.08 10.17 0.18 169.
  • 63 1.10 10.27 0.18 169.
  • 64 1.12 10.36 0.18 169.
  • 65 1.13 10.44 0.18 169.
  • 66 1.15 10.53 0.18 169.
  • 67 1.17 10.61 0.19 169.
  • 68 1.19 10.69 0.19 169.
  • 69 1.20 10.76 0.19 169.
  • 70 1.22 10.83 0.19 169.
  • 71 1.24 10.90 0.19 169.
  • 72 1.26 10.97 0.19 169.
  • 73 1.27 11.03 0.19 168.
  • 74 1.29 11.08 0.19 168.
  • 75 1.31 11.14 0.19 168.
  • 76 1.33 11.19 0.20 168.
  • 77 1.34 11.24 0.20 168.
  • 78 1.36 11.28 0.20 168.
  • 79 1.38 11.32 0.20 168.
  • 80 1.40 11.36 0.20 168.
  • 81 1.41 11.39 0.20 168.
  • 82 1.43 11.42 0.20 168.
  • 83 1.45 11.45 0.20 168.
    • 84 1.47 11.47 0.20 168.
    • 85 1.48 11.49 0.20 168.
    • 86 1.50 11.51 0.20 168.
    • 87 1.52 11.52 0.20 168.
    • 88 1.54 11.53 0.20 168.
    • 89 1.55 11.54 0.20 168.
    • 90 1.57 11.54 0.20 168.
    • 91 1.59 11.54 0.20 168.
    • 92 1.61 11.53 0.20 168.
    • 93 1.62 11.52 0.20 168.
    • 94 1.64 11.51 0.20 168.
    • 95 1.66 11.49 0.20 168.
    • 96 1.68 11.47 0.20 168.
    • 97 1.69 11.45 0.20 168.
    • 98 1.71 11.42 0.20 168.
    • 99 1.73 11.39 0.20 168.
  • 100 1.75 11.36 0.20 168.
  • 101 1.76 11.32 0.20 168.
  • 102 1.78 11.28 0.20 168.
  • 103 1.80 11.24 0.20 168.
  • 104 1.82 11.19 0.20 168.
  • 105 1.83 11.14 0.19 168.
  • 106 1.85 11.08 0.19 168.
  • 107 1.87 11.03 0.19 168.
  • 108 1.88 10.97 0.19 169.
  • 109 1.90 10.90 0.19 169.
  • 110 1.92 10.83 0.19 169.
  • 111 1.94 10.76 0.19 169.
  • 112 1.95 10.69 0.19 169.
  • 113 1.97 10.61 0.19 169.
  • 114 1.99 10.53 0.18 169.
  • 115 2.01 10.44 0.18 169.
  • 116 2.02 10.36 0.18 169.
  • 117 2.04 10.27 0.18 169.
  • 118 2.06 10.17 0.18 169.
  • 119 2.08 10.07 0.18 169.
  • 120 2.09 9.97 0.17 170.
  • 121 2.11 9.87 0.17 170.
  • 122 2.13 9.77 0.17 170.
  • 123 2.15 9.66 0.17 170.
  • 124 2.16 9.54 0.17 170.
  • 125 2.18 9.43 0.16 170.
  • 126 2.20 9.31 0.16 170.
  • 127 2.22 9.19 0.16 170.
  • 128 2.23 9.07 0.16 170.
  • 129 2.25 8.94 0.16 171.
  • 130 2.27 8.81 0.15 171.
  • 131 2.29 8.68 0.15 171.
  • 132 2.30 8.55 0.15 171.
  • 133 2.32 8.41 0.15 171.
  • 134 2.34 8.27 0.14 171.
  • 135 2.36 8.13 0.14 171.
  • 136 2.37 7.99 0.14 172.
  • 137 2.39 7.84 0.14 172.
  • 138 2.41 7.69 0.13 172.
  • 139 2.43 7.54 0.13 172.
  • 140 2.44 7.39 0.13 172.
  • 141 2.46 7.23 0.13 172.
  • 142 2.48 7.07 0.12 172.
  • 143 2.50 6.91 0.12 173.
  • 144 2.51 6.75 0.12 173.
  • 145 2.53 6.59 0.11 173.
  • 146 2.55 6.42 0.11 173.
  • 147 2.57 6.25 0.11 173.
  • 148 2.58 6.08 0.11 173.
  • 149 2.60 5.91 0.10 174.
  • 150 2.62 5.74 0.10 174.
  • 151 2.64 5.56 0.10 174.
  • 152 2.65 5.39 0.09 174.
  • 153 2.67 5.21 0.09 174.
  • 154 2.69 5.03 0.09 174.
  • 155 2.71 4.85 0.08 175.
  • 156 2.72 4.67 0.08 175.
  • 157 2.74 4.48 0.08 175.
  • 158 2.76 4.30 0.07 175.
  • 159 2.78 4.11 0.07 175.
  • 160 2.79 3.92 0.07 176.
  • 161 2.81 3.73 0.07 176.
  • 162 2.83 3.54 0.06 176.
  • 163 2.84 3.35 0.06 176.
  • 164 2.86 3.16 0.06 176.
  • 165 2.88 2.97 0.05 177.
  • 166 2.90 2.77 0.05 177.
  • 167 2.91 2.58 0.05 177.
  • 168 2.93 2.38 0.04 177.
  • 169 2.95 2.19 0.04 177.
  • 170 2.97 1.99 0.03 178.
  • 171 2.98 1.79 0.03 178.
  • 172 3.00 1.60 0.03 178.
  • 173 3.02 1.40 0.02 178.
  • 174 3.04 1.20 0.02 178.
  • 175 3.05 1.00 0.02 179.
  • 176 3.07 0.80 0.01 179.
  • 177 3.09 0.60 0.01 179.
  • 178 3.11 0.40 0.01 179.
  • 179 3.12 0.20 0.00 179.
  • 180 3.14 0.00 0.00 180.
      1. Força Aplicada na alavanca (N)
        1. Vantagem Mêcanica - Alavanca
  • 3.14 180. β2-Rad βb - Graus
  • 3.14 178.
  • 3.13 177.
  • 3.13 176.
  • 3.13 175.
  • 3.12 174.
  • 3.12 172.
  • 3.12 171.
  • 3.11 170.
  • 3.11 169.
  • 3.11 168.
  • 3.10 166.
  • 3.10 165.
  • 3.10 164.
  • 3.09 163.
  • 3.09 162.
  • 3.09 160.
  • 3.08 159.
  • 3.08 158.
  • 3.08 157.
  • 3.07 156.
  • 3.07 154.
  • 3.07 153.
  • 3.06 152.
  • 3.06 151.
  • 3.06 150.
  • 3.05 148.
  • 3.05 147.
  • 3.05 146.
  • 3.04 145.
  • 3.04 144.
  • 3.04 143.
  • 3.04 141.
  • 3.03 140.
  • 3.03 139.
  • 3.03 138.
  • 3.02 137.
  • 3.02 136.
  • 3.02 134.
  • 3.02 133.
  • 3.01 132.
  • 3.01 131.
  • 3.01 130.
  • 3.00 129.
  • 3.00 128.
  • 3.00 126.
  • 3.00 125.
  • 2.99 124.
  • 2.99 123.
  • 2.99 122.
  • 2.99 121.
  • 2.99 120.
  • 2.98 118.
  • 2.98 117.
  • 2.98 116.
  • 2.98 115.
  • 2.98 114.
  • 2.97 113.
  • 2.97 112.
  • 2.97 111.
  • 2.97 110.
  • 2.97 108.
  • 2.96 107.
  • 2.96 106.
  • 2.96 105.
  • 2.96 104.
  • 2.96 103.
  • 2.96 102.
  • 2.96 101.
  • 2.95 100.
  • 2.95 99.
  • 2.95 98.
  • 2.95 97.
  • 2.95 95.
  • 2.95 94.
  • 2.95 93.
  • 2.95 92.
  • 2.95 91.
  • 2.94 90.
  • 2.94 89.
  • 2.94 88.
  • 2.94 87.
  • 2.94 86.
  • 2.94 85.
  • 2.94 84.
  • 2.94 83.
  • 2.94 82.
  • 2.94 81.
  • 2.94 80.
  • 2.94 79.
  • 2.94 78.
  • 2.94 77.
  • 2.94 76.
  • 2.94 75.
  • 2.94 74.
  • 2.94 73.
  • 2.94 72.
  • 2.94 71.
  • 2.94 70.
  • 2.94 69.
  • 2.94 68.
  • 2.94 67.
  • 2.94 66.
  • 2.95 65.
  • 2.95 64.
  • 2.95 63.
  • 2.95 62.
  • 2.95 61.
  • 2.95 61.
  • 2.95 60.
  • 2.95 59.
  • 2.95 58.
  • 2.96 57.
  • 2.96 56.
  • 2.96 55.
  • 2.96 54.
  • 2.96 53.
  • 2.96 52.
  • 2.96 51.
  • 2.97 50.
  • 2.97 50.
  • 2.97 49.
  • 2.97 48.
  • 2.97 47.
  • 2.98 46.
  • 2.98 45.
  • 2.98 44.
  • 2.98 43.
  • 2.98 42.
  • 2.99 42.
  • 2.99 41.
  • 2.99 40.
  • 2.99 39.
  • 2.99 38.
  • 3.00 37.
  • 3.00 36.
  • 3.00 36.
  • 3.00 35.
  • 3.01 34.
  • 3.01 33.
  • 3.01 32.
  • 3.02 31.
  • 3.02 30.
  • 3.02 30.
  • 3.02 29.
  • 3.03 28.
  • 3.03 27.
  • 3.03 26.
  • 3.04 25.
  • 3.04 25.
  • 3.04 24.
  • 3.04 23.
  • 3.05 22.
  • 3.05 21.
  • 3.05 20.
  • 3.06 20.
  • 3.06 19.
  • 3.06 18.
  • 3.07 17.
  • 3.07 16.
  • 3.07 16.
  • 3.08 15.
  • 3.08 14.
  • 3.08 13.
  • 3.09 12.
  • 3.09 12.
  • 3.09 11.
  • 3.10 10.
  • 3.10 9.
  • 3.10 8.
  • 3.11 8.
  • 3.11 7.
  • 3.11 6.
  • 3.12 5.
  • 3.12 4.
  • 3.12 4.
  • 3.13 3.
  • 3.13 2.
  • 3.13 1.
  • 3.14 0.
  • 3.14 0.
  • 795.00 2.61 1. Força Média Aplicada na Lata (N) L2 - C.S L1 - C.S
    • 3.14 0.60 0.00 795. βb-Rad Cx Fcy Fb
    • 3.12 0.60 2.77 795.
    • 3.10 0.60 5.55 795.
    • 3.08 0.60 8.32 795.
    • 3.06 0.60 11.09 795.
    • 3.04 0.60 13.86 795.
    • 3.02 0.60 16.62 795.
    • 3.00 0.60 19.38 795.
    • 2.97 0.60 22.14 795.
    • 2.95 0.60 24.89 795.
    • 2.93 0.60 27.63 795.
    • 2.91 0.60 30.36 795.
    • 2.89 0.60 33.09 795.
    • 2.87 0.60 35.80 795.
    • 2.85 0.60 38.51 795.
    • 2.83 0.60 41.21 796.
    • 2.81 0.60 43.89 796.
    • 2.79 0.59 46.57 796.
    • 2.77 0.59 49.23 796.
    • 2.74 0.59 51.88 796.
    • 2.72 0.59 54.51 796.
    • 2.70 0.59 57.13 797.
    • 2.68 0.59 59.73 797.
    • 2.66 0.59 62.32 797.
    • 2.64 0.59 64.89 797.
    • 2.62 0.59 67.44 797.
    • 2.60 0.59 69.97 798.
    • 2.58 0.59 72.48 798.
    • 2.56 0.59 74.98 798.
    • 2.54 0.59 77.45 798.
    • 2.52 0.58 79.901 799.
    • 2.50 0.58 82.33 799.
    • 2.48 0.58 84.73 799.
  • 2.46 0.58 87.12 799.
  • 2.44 0.58 89.47 800.
  • 2.42 0.58 91.80 800.
  • 2.40 0.58 94.11 800.
  • 2.38 0.58 96.39 800.
  • 2.35 0.57 98.64 801.
  • 2.33 0.57 100.86 801.
  • 2.31 0.57 103.06 801.
  • 2.29 0.57 105.22 801.
  • 2.27 0.57 107.36 802.
  • 2.25 0.57 109.46 802.
  • 2.23 0.57 111.53 802.
  • 2.21 0.57 113.57 803.
  • 2.19 0.56 115.58 803.
  • 2.17 0.56 117.55 803.
  • 2.15 0.56 119.49 803.
  • 2.13 0.56 121.39 804.
  • 2.12 0.56 123.26 804.
  • 2.10 0.56 125.09 804.
  • 2.08 0.56 126.88 805.
  • 2.06 0.55 128.63 805.
  • 2.04 0.55 130.35 805.
  • 2.02 0.55 132.03 805.
  • 2.00 0.55 133.67 806.
  • 1.98 0.55 135.27 806.
  • 1.96 0.55 136.82 806.
  • 1.94 0.54 138.34 806.
  • 1.92 0.54 139.81 807.
  • 1.90 0.54 141.24 807.
  • 1.88 0.54 142.63 807.
  • 1.86 0.54 143.97 807.
  • 1.84 0.54 145.27 808.
  • 1.82 0.53 146.53 808.
  • 1.81 0.53 147.74 808.
  • 1.79 0.53 148.91 808.
  • 1.77 0.53 150.02 809.
  • 1.75 0.53 151.10 809.
  • 1.73 0.53 152.12 809.
  • 1.71 0.52 153.10 809.
  • 1.69 0.52 154.03 809.
  • 1.68 0.52 154.91 809.
  • 1.66 0.52 155.75 810.
  • 1.64 0.52 156.53 810.
  • 1.62 0.51 157.27 810.
  • 1.60 0.51 157.95 810.
  • 1.58 0.51 158.59 810.
  • 1.57 0.51 159.18 810.
  • 1.55 0.51 159.71 810.
  • 1.53 0.51 160.20 810.
  • 1.51 0.50 160.63 811.
  • 1.49 0.50 161.02 811.
  • 1.48 0.50 161.35 811.
  • 1.46 0.50 161.64 811.
  • 1.44 0.50 161.87 811.
  • 1.42 0.50 162.05 811.
  • 1.40 0.49 162.18 811.
  • 1.39 0.49 162.25 811.
  • 1.37 0.49 162.28 811.
  • 1.35 0.49 162.25 811.
  • 1.33 0.49 162.18 811.
  • 1.32 0.48 162.05 811.
  • 1.30 0.48 161.87 811.
  • 1.28 0.48 161.64 811.
  • 1.27 0.48 161.35 811.
  • 1.25 0.48 161.02 811.
  • 1.23 0.48 160.63 811.
  • 1.21 0.47 160.20 810.
  • 1.20 0.47 159.71 810.
  • 1.18 0.47 159.18 810.
  • 1.16 0.47 158.59 810.
  • 1.15 0.47 157.95 810.
  • 1.13 0.47 157.27 810.
  • 1.11 0.46 156.53 810.
  • 1.10 0.46 155.75 810.
  • 1.08 0.46 154.91 809.
  • 1.07 0.46 154.03 809.
  • 1.05 0.46 153.10 809.
  • 1.03 0.46 152.12 809.
  • 1.02 0.46 151.10 809.
  • 1.00 0.45 150.02 809.
  • 0.98 0.45 148.91 808.
  • 0.97 0.45 147.74 808.
  • 0.95 0.45 146.53 808.
  • 0.94 0.45 145.27 808.
  • 0.92 0.45 143.97 807.
  • 0.90 0.45 142.63 807.
  • 0.89 0.44 141.24 807.
  • 0.87 0.44 139.81 807.
  • 0.86 0.44 138.34 806.
  • 0.84 0.44 136.82 806.
  • 0.83 0.44 135.27 806.
  • 0.81 0.44 133.67 806.
  • 0.80 0.44 132.03 805.
  • 0.78 0.43 130.35 805.
  • 0.76 0.43 128.63 805.
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