Estrutura de dados - Aula de Revisão (Linguagem C/C++, Função, Vetor, Matriz, Ponteiros)
4 - Matriz de Dados
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MEMORIAL DE CÁLCULO
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MEMORIAL DE CÁLCULO
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DADOS
Quantidade UnidadesInfluência Longitudinal 6.00 mTelha 18.00 Kg/m²Cumeeira 10.00 Kg/mlBeirais 0.45 mAcessórios 4.00 Kg/m²Peso Aparente da madeira Angelim Ferro 1,170.00 Kg/m³Terças 0,08 x 0,20 0.02 m2Banzos 0,10 x 0,20 0.02 m2Montante 0,10 x 0,20 0.02 m2Diagonais 0,07 x 0,20 0.01 m2
Comprimentos das peças para cálculo do método de Influência
NÓS Banzo Superior (m) Banzo Inferior (m) Montante (m) Diagonais (m)P1 = P19 1.25 0.80 1.40 0.86P2 = P18 1.60 1.60 1.40 1.72P3 = P17 1.60 1.60 1.40 1.72P4 = P16 1.60 1.60 1.40 1.72P5 = P15 1.60 1.60 1.40 1.72P6 = P14 1.60 1.60 1.40 1.72P7 = P13 1.60 1.60 1.40 1.72P8 = P12 1.60 1.55 1.40 1.88P9 = P11 1.60 1.50 1.95 2.25
P10 1.60 1.50 2.50 2.46
PESO DA ESTRUTURA - TRELIÇA
NÓS PESO DAS TELHAS (Kg)PESO DAS TERÇAS (Kg)PESO DOS ACESSORIOS (Kg) PESO DO MADEIRAMENTO (Kg) TOTAL (Kg)
P1 = P19 135.00 112.32 30.00 135.81 413.13P2 = P18 172.80 112.32 38.40 217.81 541.33P3 = P17 172.80 112.32 38.40 217.81 541.33P4 = P16 172.80 112.32 38.40 217.81 541.33P5 = P15 172.80 112.32 38.40 217.81 541.33P6 = P14 172.80 112.32 38.40 217.81 541.33P7 = P13 172.80 112.32 38.40 217.81 541.33P8 = P12 172.80 112.32 38.40 220.71 544.23P9 = P11 172.80 112.32 38.40 243.36 566.88
P10 232.80 112.32 38.40 263.11 646.63TOTAL 1,750.20 1,123.20 375.60 2,169.84 5,418.84
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E S F O R Ç O S - NORMAIS NAS BARRAS AÇÕES PERMANENTES
BARRA N (kgf) TRAÇÃO
1 0.00 0.002 -509.353 413.10 413.104 -1,176.795 -2,449.976 2,353.30 2,353.307 -1,909.018 1,686.32 1,686.329 -1,367.55
10 1,018.48 1,018.4811 -826.2012 351.46 351.4613 -284.9714 -316.3415 -356.6816 -197.5517 134.79 134.7918 -692.0119 1,096.15 1,096.1520 -692.0121 134.79 134.7922 -197.5523 -356.6824 -316.3425 -284.9726 351.46 351.4627 -826.2028 1,018.48 1,018.4829 -1,367.5530 1,686.32 1,686.3231 -1,909.0132 2,353.30 2,353.3033 -2,449.9734 -1,176.7935 413.10 413.1036 -509.3537 0.00 0.0038 0.00 0.0039 -471.0440 -6,503.1341 -4,326.6942 -2,767.3143 -1,825.3744 -1,500.38
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45 -1,684.7946 -1,829.2047 -1,829.2048 -1,684.7949 -1,500.3850 -1,825.3751 -2,767.3152 -4,326.6953 -6,503.1354 -471.0455 0.00 0.0056 471.05 471.0557 1,559.29 1,559.2958 -617.0259 -2,176.4560 -3,118.4061 -3,443.3562 -3,150.8863 -2,997.1264 -2,547.5965 -2,547.5966 -2,997.1267 -3,150.8868 3,443.35 3,443.3569 -3,118.4070 -2,176.4571 -617.0272 1,559.29 1,559.2973 471.05 471.05
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E S F O R Ç O S - NORMAIS NAS BARRAS AÇÕES PERMANENTES
COMPRESSÃO
-509.35
-1,176.79-2,449.97
-1,909.01
-1,367.55
-826.20
-284.97-316.34-356.68-197.55
-692.01
-692.01
-197.55-356.68-316.34-284.97
-826.20
-1,367.55
-1,909.01
-2,449.97-1,176.79
-509.35
-471.04-6,503.13-4,326.69-2,767.31-1,825.37-1,500.38
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-1,684.79-1,829.20-1,829.20-1,684.79-1,500.38-1,825.37-2,767.31-4,326.69-6,503.13-471.04
-617.02-2,176.45-3,118.40-3,443.35-3,150.88-2,997.12-2,547.59-2,547.59-2,997.12-3,150.88
-3,118.40-2,176.45-617.02
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DADOS - CONFORME NBR 6123
ITENS Fórmulas Quantidade UnidadeVelocidade do Vento V₀ (Tabelado) 30.00 m/sFator topográfico S1 (Tabelado) 1.00Fator de rugosidade S2 (Tabelado) 0.79Conceitos probabilístico S3 (Tabelado) 0.95Velocidade Característica do vento Vk=V₀ x S1 x S2 x S3 22.52 m/s
ΔP= VK²X0,613 31.07 Kg/m2Transferência de Impacto para o plano de cobertura ΔP COBERTURA= ΔP*Ce 46.61 Kg/m2(Ce) TABELA 5 - NBR-6123 Ce 1.50Ângulo de projeção da cobertura (Seno) 20° 0.342
Comprimentos das peças para cálculo do método de Influência
NÓS Banzo Superior (m)P1 = P19 1.25P2 = P18 1.60P3 = P17 1.60P4 = P16 1.60P5 = P15 1.60P6 = P14 1.60P7 = P13 1.60P8 = P12 1.60P9 = P11 1.60
P10 1.60
AÇÃO DO VENTO NO PROJETO
NÓS AÇÃO DO VENTO (kg)P1 = P19 119.56P2 = P18 153.04P3 = P17 153.04P4 = P16 153.04P5 = P15 153.04P6 = P14 153.04P7 = P13 153.04P8 = P12 153.04P9 = P11 153.04
P10 153.04TOTAL 1,496.88
Carga de Impacto (Kg/m²)
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E S F O R Ç O S - NORMAIS NAS BARRAS AÇÕES DO VENTO
BARRA N (kgf) TRAÇÃO1 0.00 0.002 147.41 147.413 -119.554 336.10 336.105 687.04 687.046 -658.407 534.10 534.108 -469.849 381.02 381.0210 -281.0311 227.98 227.9812 -92.4613 74.96 74.9614 96.33 96.3315 90.99 90.9916 65.37 65.3717 -44.6018 194.92 194.9219 -308.7620 194.93 194.9321 -44.6222 65.39 65.3923 90.97 90.9724 96.34 96.3425 74.95 74.9526 -92.4527 227.97 227.9728 -281.0229 381.01 381.0130 -469.8331 534.09 534.0932 -658.3933 688.03 688.0334 336.06 336.0635 -119.5236 147.37 147.3737 0.00 0.0038 0.00 0.0039 136.29 136.2940 1,794.09 1,794.0941 1,185.18 1,185.1842 750.72 750.7243 490.82 490.8244 405.33 405.33
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45 464.61 464.6146 512.41 512.4147 512.42 512.4248 464.63 464.6349 405.36 405.3650 490.85 490.8551 750.77 750.7752 1,185.24 1,185.2453 1,794.16 1,794.1654 136.32 136.3255 0.00 0.0056 -136.3257 -447.1358 161.75 161.7559 596.24 596.2460 856.15 856.1561 941.63 941.6362 852.56 852.5663 801.69 801.6964 675.06 675.0665 675.06 675.0666 801.70 801.7067 852.58 852.5868 941.66 941.6669 856.19 856.1970 596.29 596.2971 161.81 161.8172 -447.0673 -136.29
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E S F O R Ç O S - NORMAIS NAS BARRAS AÇÕES DO VENTO
COMPRESSÃO
-119.55
-658.40
-469.84
-281.03
-92.46
-44.60
-308.76
-44.62
-92.45
-281.02
-469.83
-658.39
-119.52
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-136.32-447.13
-447.06-136.29
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TABELA DE COMBINAÇÕES DOS ESFORÇOS
BARRASAÇÕES PERMANENTES AÇÕES DO VENTO
TRAÇÃO + COMPRESSÃO - TRAÇÃO +
1 0.00 0.002 509.35 147.413 413.104 1,176.79 336.105 2,449.97 687.046 2,353.307 1,909.01 534.108 1,686.329 1,367.55 381.02
10 1,018.4811 826.20 227.9812 351.4613 284.97 74.9614 316.34 96.3315 356.68 90.9916 197.55 65.3717 134.7918 692.01 194.9219 1,096.1520 692.01 194.9321 134.7922 197.55 65.3923 356.68 90.9724 316.34 96.3425 284.97 74.9526 351.4627 826.20 227.9728 1,018.4829 1,367.55 381.0130 1,686.3231 1,909.01 534.0932 2,353.3033 2,449.97 688.0334 1,176.79 336.0635 413.1036 509.35 147.3737 0.00 0.0038 0.00 0.0039 471.04 136.2940 6,503.13 1,794.0941 4,326.69 1,185.1842 2,767.31 750.7243 1,825.37 490.82
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44 1,500.38 405.3345 1,684.79 464.6146 1,829.20 512.4147 1,829.20 512.4248 1,684.79 464.6349 1,500.38 405.3650 1,825.37 490.8551 2,767.31 750.7752 4,326.69 1,185.2453 6,503.13 1,794.1654 471.04 136.3255 0.00 0.0056 471.0557 1,559.2958 617.02 161.7559 2,176.45 596.2460 3,118.40 856.1561 3,443.35 941.6362 3,150.88 852.5663 2,997.12 801.6964 2,547.59 675.0665 2,547.59 675.0666 2,997.12 801.7067 3,150.88 852.5868 3,443.35 941.6669 3,118.40 856.1970 2,176.45 596.2971 617.02 161.8172 1,559.2973 471.05
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TABELA DE COMBINAÇÕES DOS ESFORÇOS
AÇÕES DO VENTO ESFORÇOS FINAISCOMPRESSÃO - TRAÇÃO + COMPRESSÃO -
509.35119.55 413.10
1,176.792,449.97
658.40 2,353.301,909.01
469.84 1,686.321,367.55
281.03 1,018.48826.20
92.46 351.46284.97316.34356.68197.55
44.60 134.79692.01
308.76 1,096.15692.01
44.62 134.79197.55356.68316.34284.97
92.45 351.46826.20
281.02 1,018.481,367.55
469.83 1,686.321,909.01
658.39 2,353.302,449.971,176.79
119.52 413.10509.35
471.046,503.134,326.692,767.311,825.37
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1,500.381,684.791,829.201,829.201,684.791,500.381,825.372,767.314,326.696,503.13471.04
136.32 471.05447.13 1,559.29
617.022,176.453,118.403,443.353,150.882,997.122,547.592,547.592,997.123,150.88
3,443.353,118.402,176.45617.02
447.06 1,559.29136.29 471.05
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TOTAL DE BARRAS POSIÇÃO DAS BARRAS ESPECIFICAÇÃO
N da Barra Posiçao Solicitações Seção (cm)1 Montante - 1 10 x 203 Montante Tração 1 10 x 205 Montante Compressão 1 10 x 207 Montante Compressão 1 10 x 209 Montante Compressão 1 10 x 20
11 Montante Compressão 1 10 x 2013 Montante Compressão 1 10 x 2015 Montante Compressão 1 10 x 2017 Montante Tração 1 10 x 2019 Montante Tração 1 10 x 2021 Montante Tração 1 10 x 2023 Montante Compressão 1 10 x 2025 Montante Compressão 1 10 x 2027 Montante Compressão 1 10 x 2029 Montante Compressão 1 10 x 2031 Montante Compressão 1 10 x 2033 Montante Compressão 1 10 x 2035 Montante Tração 1 10 x 2037 Montante - 1 10 x 20
N da Barra Posiçao Solicitações Seção (cm)2 Diagonal Compressão 2 7x204 Diagonal Compressão 2 7x206 Diagonal Tração 2 7x208 Diagonal Tração 2 7x20
10 Diagonal Tração 2 7x2012 Diagonal Tração 2 7x2014 Diagonal Compressão 2 7x2016 Diagonal Compressão 2 7x2018 Diagonal Compressão 2 7x2020 Diagonal Compressão 2 7x2022 Diagonal Compressão 2 7x2024 Diagonal Compressão 2 7x2026 Diagonal Tração 2 7x2028 Diagonal Tração 2 7x2030 Diagonal Tração 2 7x2032 Diagonal Tração 2 7x2034 Diagonal Compressão 2 7x2036 Diagonal Compressão 2 7x20
N da Barra Posiçao Solicitações Seção (cm)38 Banzo inferior - 2 10 x 2039 Banzo inferior Compressão 2 10 x 2040 Banzo inferior Compressão 2 10 x 2041 Banzo inferior Compressão 2 10 x 20
QTD DE PEÇAS
CÁLCULO DA SEÇÃO b X h
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42 Banzo inferior Compressão 2 10 x 2043 Banzo inferior Compressão 2 10 x 2044 Banzo inferior Compressão 2 10 x 2045 Banzo inferior Compressão 2 10 x 2046 Banzo inferior Compressão 2 10 x 2047 Banzo inferior Compressão 2 10 x 2048 Banzo inferior Compressão 2 10 x 2049 Banzo inferior Compressão 2 10 x 2050 Banzo inferior Compressão 2 10 x 2051 Banzo inferior Compressão 2 10 x 2052 Banzo inferior Compressão 2 10 x 2053 Banzo inferior Compressão 2 10 x 2054 Banzo inferior Compressão 2 10 x 2055 Banzo inferior - 2 10 x 20
N da Barra Posiçao Solicitações Seção (cm)56 Banzo superior Tração 2 10 x 2057 Banzo superior Tração 2 10 x 2058 Banzo superior Compressão 2 10 x 2059 Banzo superior Compressão 2 10 x 2060 Banzo superior Compressão 2 10 x 2061 Banzo superior Compressão 2 10 x 2062 Banzo superior Compressão 2 10 x 2063 Banzo superior Compressão 2 10 x 2064 Banzo superior Compressão 2 10 x 2065 Banzo superior Compressão 2 10 x 2066 Banzo superior Compressão 2 10 x 2067 Banzo superior Compressão 2 10 x 2068 Banzo superior Compressão 2 10 x 2069 Banzo superior Compressão 2 10 x 2060 Banzo superior Compressão 2 10 x 2071 Banzo superior Compressão 2 10 x 2072 Banzo superior Tração 2 10 x 2073 Banzo superior Tração 2 10 x 20
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BASE X ALTURA RESISTÊNCIA TRAÇÃO
Área (cm²) F_cod (Mpa) F_tod (Mpa) F_eod (Mpa) E_coef (Mpa)200.00 15.26 15.26 15.26 7,997.57200.00 15.26 15.26 15.26 7,997.57200.00 15.26 15.26 15.26 7,997.57200.00 15.26 15.26 15.26 7,997.57200.00 15.26 15.26 15.26 7,997.57200.00 15.26 15.26 15.26 7,997.57200.00 15.26 15.26 15.26 7,997.57200.00 15.26 15.26 15.26 7,997.57200.00 15.26 15.26 15.26 7,997.57200.00 15.26 15.26 15.26 7,997.57200.00 15.26 15.26 15.26 7,997.57200.00 15.26 15.26 15.26 7,997.57200.00 15.26 15.26 15.26 7,997.57200.00 15.26 15.26 15.26 7,997.57200.00 15.26 15.26 15.26 7,997.57200.00 15.26 15.26 15.26 7,997.57200.00 15.26 15.26 15.26 7,997.57200.00 15.26 15.26 15.26 7,997.57200.00 15.26 15.26 15.26 7,997.57A=BASE X 2 X ALTURA E_coef= kmod*E
Área (cm²) F_cod (Mpa) F_tod (Mpa) F_eod (Mpa) E_coef (Mpa)280.00 15.26 15.26 15.26 7997.568280.00 15.26 15.26 15.26 7997.568280.00 15.26 15.26 15.26 7997.568280.00 15.26 15.26 15.26 7997.568280.00 15.26 15.26 15.26 7997.568280.00 15.26 15.26 15.26 7997.568280.00 15.26 15.26 15.26 7997.568280.00 15.26 15.26 15.26 7997.568280.00 15.26 15.26 15.26 7997.568280.00 15.26 15.26 15.26 7997.568280.00 15.26 15.26 15.26 7997.568280.00 15.26 15.26 15.26 7997.568280.00 15.26 15.26 15.26 7997.568280.00 15.26 15.26 15.26 7997.568280.00 15.26 15.26 15.26 7997.568280.00 15.26 15.26 15.26 7997.568280.00 15.26 15.26 15.26 7997.568280.00 15.26 15.26 15.26 7997.568A=BASE X 2 X ALTURA E_coef= kmod*E
Área (cm²) F_cod (Mpa) F_tod (Mpa) F_eod (Mpa) E_coef (Mpa)400.00 15.26 15.26 15.26 7997.568400.00 15.26 15.26 15.26 7997.568400.00 15.26 15.26 15.26 7997.568400.00 15.26 15.26 15.26 7997.568
RESISTÊNCIA COMPRESSÃO
RESISTÊNCIA ELASTICIDADE
MÓDULO DE ELASTICIDADE
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400.00 15.26 15.26 15.26 7997.568400.00 15.26 15.26 15.26 7997.568400.00 15.26 15.26 15.26 7997.568400.00 15.26 15.26 15.26 7997.568400.00 15.26 15.26 15.26 7997.568400.00 15.26 15.26 15.26 7997.568400.00 15.26 15.26 15.26 7997.568400.00 15.26 15.26 15.26 7997.568400.00 15.26 15.26 15.26 7997.568400.00 15.26 15.26 15.26 7997.568400.00 15.26 15.26 15.26 7997.568400.00 15.26 15.26 15.26 7997.568400.00 15.26 15.26 15.26 7997.568400.00 15.26 15.26 15.26 7997.568A=BASE X 2 X ALTURA E_coef= kmod*E
Área (cm²) F_cod (Mpa) F_tod (Mpa) F_eod (Mpa) E_coef (Mpa)400.00 15.26 15.26 15.26 7997.568400.00 15.26 15.26 15.26 7997.568400.00 15.26 15.26 15.26 7997.568400.00 15.26 15.26 15.26 7997.568400.00 15.26 15.26 15.26 7997.568400.00 15.26 15.26 15.26 7997.568400.00 15.26 15.26 15.26 7997.568400.00 15.26 15.26 15.26 7997.568400.00 15.26 15.26 15.26 7997.568400.00 15.26 15.26 15.26 7997.568400.00 15.26 15.26 15.26 7997.568400.00 15.26 15.26 15.26 7997.568400.00 15.26 15.26 15.26 7997.568400.00 15.26 15.26 15.26 7997.568400.00 15.26 15.26 15.26 7997.568400.00 15.26 15.26 15.26 7997.568400.00 15.26 15.26 15.26 7997.568400.00 15.26 15.26 15.26 7997.568
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RAIO DE GIRAÇÃO
Y L (cm) I_x (cm4) I_y (cm4) I_min (cm)5.00 140.00 1,666.67 6,666.67 2.89 x5.00 140.00 1,666.67 6,666.67 2.89 x5.00 140.00 1,666.67 6,666.67 2.89 48.505.00 140.00 1,666.67 6,666.67 2.89 48.505.00 140.00 1,666.67 6,666.67 2.89 48.505.00 140.00 1,666.67 6,666.67 2.89 48.505.00 140.00 1,666.67 6,666.67 2.89 48.505.00 140.00 1,666.67 6,666.67 2.89 48.505.00 195.00 1,666.67 6,666.67 2.89 x5.00 250.00 1,666.67 6,666.67 2.89 x5.00 140.00 1,666.67 6,666.67 2.89 x5.00 140.00 1,666.67 6,666.67 2.89 48.505.00 140.00 1,666.67 6,666.67 2.89 48.505.00 140.00 1,666.67 6,666.67 2.89 48.505.00 140.00 1,666.67 6,666.67 2.89 48.505.00 140.00 1,666.67 6,666.67 2.89 48.505.00 140.00 1,666.67 6,666.67 2.89 48.505.00 140.00 1,666.67 6,666.67 2.89 x5.00 140.00 1,666.67 6,666.67 2.89 xy= b/2 I_x=b*h³/12 I_y=h*b³/12 Imin=I(menor valesbeltez=Lf/I_min
Y L (cm) I_x (cm4) I_y (cm4) I_min (cm)3.50 173.00 9,333.33 96,977.33 5.77 30.003.50 173.00 9,333.33 96,977.33 5.77 30.003.50 173.00 9,333.33 96,977.33 5.77 x3.50 173.00 9,333.33 96,977.33 5.77 x3.50 173.00 9,333.33 96,977.33 5.77 x3.50 173.00 9,333.33 96,977.33 5.77 x3.50 173.00 9,333.33 96,977.33 5.77 30.003.50 205.00 9,333.33 96,977.33 5.77 35.503.50 246.00 9,333.33 96,977.33 5.77 42.603.50 246.00 9,333.33 96,977.33 5.77 42.603.50 205.00 9,333.33 96,977.33 5.77 35.503.50 173.00 9,333.33 96,977.33 5.77 30.003.50 173.00 9,333.33 96,977.33 5.77 x3.50 173.00 9,333.33 96,977.33 5.77 x3.50 173.00 9,333.33 96,977.33 5.77 x3.50 173.00 9,333.33 96,977.33 5.77 x3.50 173.00 9,333.33 96,977.33 5.77 30.003.50 173.00 9,333.33 96,977.33 5.77 30.00y= b/2 I_x=b*h³/12 I_y=h*b³/12 Imin=I(menor valesbeltez=Lf/I_min
Y L (cm) I_x (cm4) I_y (cm4) I_min (cm)5.00 160.00 13,333.33 43,333.33 5.77 x5.00 160.00 13,333.33 43,333.33 5.77 27.705.00 160.00 13,333.33 43,333.33 5.77 27.705.00 160.00 13,333.33 43,333.33 5.77 27.70
MENOR LADO DIVIDO POR 2
COMPRIMENTO DA BARRA
PONTO DE INÉRCIA EM X
PONTO DE INÉRCIA EM Y
MOMENTO DA FLAMBAGEM (CURVA DA
ESTRUTURA)
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5.00 160.00 13,333.33 43,333.33 5.77 27.705.00 160.00 13,333.33 43,333.33 5.77 27.705.00 160.00 13,333.33 43,333.33 5.77 27.705.00 150.00 13,333.33 43,333.33 5.77 26.005.00 150.00 13,333.33 43,333.33 5.77 26.005.00 150.00 13,333.33 43,333.33 5.77 26.005.00 150.00 13,333.33 43,333.33 5.77 26.005.00 160.00 13,333.33 43,333.33 5.77 27.705.00 160.00 13,333.33 43,333.33 5.77 27.705.00 160.00 13,333.33 43,333.33 5.77 27.705.00 160.00 13,333.33 43,333.33 5.77 27.705.00 160.00 13,333.33 43,333.33 5.77 27.705.00 160.00 13,333.33 43,333.33 5.77 27.705.00 160.00 13,333.33 43,333.33 5.77 xy= b/2 I_x=b*h³/12 I_y=h*b³/12 Imin=I(menor valesbeltez=Lf/I_min
Y L (cm) I_x (cm4) I_y (cm4) I_min (cm)5.00 160.00 13,333.33 43,333.33 5.77 x5.00 160.00 13,333.33 43,333.33 5.77 x5.00 160.00 13,333.33 43,333.33 5.77 27.705.00 160.00 13,333.33 43,333.33 5.77 27.705.00 160.00 13,333.33 43,333.33 5.77 27.705.00 160.00 13,333.33 43,333.33 5.77 27.705.00 160.00 13,333.33 43,333.33 5.77 27.705.00 160.00 13,333.33 43,333.33 5.77 27.705.00 160.00 13,333.33 43,333.33 5.77 27.705.00 160.00 13,333.33 43,333.33 5.77 27.705.00 160.00 13,333.33 43,333.33 5.77 27.705.00 160.00 13,333.33 43,333.33 5.77 27.705.00 160.00 13,333.33 43,333.33 5.77 27.705.00 160.00 13,333.33 43,333.33 5.77 27.705.00 160.00 13,333.33 43,333.33 5.77 27.705.00 160.00 13,333.33 43,333.33 5.77 27.705.00 160.00 13,333.33 43,333.33 5.77 x5.00 160.00 13,333.33 43,333.33 5.77 x
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Nivel de Esbeltez N (kgf) ND (kgf) Ϭtod (Mpa)Peça Tracionada 0.00 0.00 xPeça Tracionada 413.10 578.34 0.41Peça Medianamente Esbelta 2,449.97 3,429.96 xPeça Medianamente Esbelta 1,909.01 2,672.62 xPeça Medianamente Esbelta 1,367.55 1,914.57 xPeça Medianamente Esbelta 826.20 1,156.67 xPeça Medianamente Esbelta 284.97 398.95 xPeça Medianamente Esbelta 356.68 499.36 xPeça Tracionada 134.79 188.71 0.13Peça Tracionada 1,096.15 1,534.61 1.10Peça Tracionada 134.79 188.71 0.13Peça Medianamente Esbelta 356.68 499.36 xPeça Medianamente Esbelta 284.97 398.95 xPeça Medianamente Esbelta 826.20 1,156.67 xPeça Medianamente Esbelta 1,367.55 1,914.57 xPeça Medianamente Esbelta 1,909.01 2,672.62 xPeça Medianamente Esbelta 2,449.97 3,429.96 xPeça Tracionada 413.10 578.34 0.41Peça Tracionada 0.00 0.00 xesbeltez=Lf/I_min Nd=N*1,4
Nivel de Esbeltez N (kgf) ND (kgf) Ϭtod (Mpa)Peça Curta 509.35 713.09 xPeça Curta 1,176.79 1,647.51 xPeça Tracionada 2,353.30 3,294.62 1.68Peça Tracionada 1,686.32 2,360.85 1.20Peça Tracionada 1,018.48 1,425.87 0.73Peça Tracionada 351.46 492.05 0.25Peça Curta 316.34 442.87 xPeça Curta 197.55 276.57 xPeça Medianamente Esbelta 692.01 968.81 xPeça Medianamente Esbelta 692.01 968.81 xPeça Curta 197.55 276.57 xPeça Curta 316.34 442.87 xPeça Tracionada 351.46 492.05 0.25Peça Tracionada 1,018.48 1,425.87 0.73Peça Tracionada 1,686.32 2,360.85 1.20Peça Tracionada 2,353.30 3,294.62 1.68Peça Curta 1,176.79 1,647.51 xPeça Curta 509.35 713.09 xesbeltez=Lf/I_min Nd=N*1,4
Nivel de Esbeltez N (kgf) ND (kgf) Ϭtod (Mpa)Peça Tracionada 0.00 0.00 xPeça Curta 471.04 659.46 xPeça Curta 6,503.13 9,104.39 xPeça Curta 4,326.69 6,057.37 x
1º N > (MAIOR) QUE ZERO A PEÇA ESTÁ TRACIONADA OK 2º N ≤ 40 A PEÇA ESTÁ
CURTA OK 3º N ≤ 80 A PEÇA ESTÁ MEDIANAMENTE ESBELTA OK 3º N ≤ 140 A
PEÇA ESTÁ ESBELTA NÃO PASSA
CARGA CARACTERÍSTICA
CARGA DE CÁLCULO
TENSÃO NORMAL NA TRAÇÃO
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Peça Curta 2,767.31 3,874.23 xPeça Curta 1,825.37 2,555.51 xPeça Curta 1,500.38 2,100.53 xPeça Curta 1,684.79 2,358.70 xPeça Curta 1,829.20 2,560.89 xPeça Curta 1,829.20 2,560.89 xPeça Curta 1,684.79 2,358.71 xPeça Curta 1,500.38 2,100.53 xPeça Curta 1,825.37 2,555.51 xPeça Curta 2,767.31 3,874.23 xPeça Curta 4,326.69 6,057.37 xPeça Curta 6,503.13 9,104.39 xPeça Curta 471.04 659.46 xPeça Tracionada 0.00 0.00 xesbeltez=Lf/I_min Nd=N*1,4
Nivel de Esbeltez N (kgf) ND (kgf) Ϭtod (Mpa)Peça Tracionada 471.05 659.47 0.24Peça Tracionada 1,559.29 2,183.01 0.78Peça Curta 617.02 863.83 xPeça Curta 2,176.45 3,047.03 xPeça Curta 3,118.40 4,365.76 xPeça Curta 3,443.35 4,820.69 xPeça Curta 3,150.88 4,411.23 xPeça Curta 2,997.12 4,195.97 xPeça Curta 2,547.59 3,566.62 xPeça Curta 2,547.59 3,566.62 xPeça Curta 2,997.00 4,195.80 xPeça Curta 3,150.88 4,411.23 xPeça Curta 3,443.35 4,820.69 xPeça Curta 3,118.40 4,365.76 xPeça Curta 2,176.45 3,047.03 xPeça Curta 617.02 863.83 xPeça Tracionada 1,559.29 2,183.01 0.78Peça Tracionada 471.05 659.47 0.24
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CARGA CRÍTICA
Ϭtnd (Mpa) e_i e_a e_1 F_E e_dx x x x x xx x x x x x
1.71 0.167 0.467 0.6333 67,119.76 0.671.34 0.167 0.467 0.6333 67,119.76 0.660.96 0.167 0.467 0.6333 67,119.76 0.650.58 0.167 0.467 0.6333 67,119.76 0.640.20 0.167 0.467 0.6333 67,119.76 0.640.25 0.167 0.467 0.6333 67,119.76 0.64
x x x x x xx x x x x xx x x x x x
0.25 0.167 0.467 0.6333 67,119.76 0.640.20 0.167 0.467 0.6333 67,119.76 0.640.58 0.167 0.467 0.6333 67,119.76 0.640.96 0.167 0.467 0.6333 67,119.76 0.651.34 0.167 0.467 0.6333 67,119.76 0.661.71 0.167 0.467 0.6333 67,119.76 0.67
x x x x x xx x x x x x
Ϭtnd (Mpa) e_i e_a e_1 F_E e_d0.25 x x x x x0.59 x x x x x
x x x x x xx x x x x xx x x x x xx x x x x x
0.16 x x x x x0.10 x x x x x0.35 0.117 0.820 0.9367 121,737.46 0.940.35 0.117 0.820 0.9367 121,737.46 0.940.10 x x x x x0.16 x x x x x
x x x x x xx x x x x xx x x x x xx x x x x x
0.59 x x x x x0.25 x x x x x
Ϭtnd (Mpa) e_i e_a e_1 F_E e_dx x x x x x
0.16 x x x x x2.28 x x x x x1.51 x x x x x
TENÇÃO NORMAL À COMPRESSÃO
EXCENTRICIDADE INICIAL
EXCENTRICIDADE ACIDENTAL
EXCENTRICIDADE DE 1ª ORDEM
EXCENTRICIDADE DE CÁLCULOS
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0.97 x x x x x0.64 x x x x x0.53 x x x x x0.59 x x x x x0.64 x x x x x0.64 x x x x x0.59 x x x x x0.53 x x x x x0.64 x x x x x0.97 x x x x x1.51 x x x x x2.28 x x x x x0.16 x x x x x
x x x x x x
Ϭtnd (Mpa) e_i e_a e_1 F_E e_dx x x x x xx x x x x x
0.22 x x x x x0.76 x x x x x1.09 x x x x x1.21 x x x x x1.10 x x x x x1.05 x x x x x0.89 x x x x x0.89 x x x x x1.05 x x x x x1.10 x x x x x1.21 x x x x x1.09 x x x x x0.76 x x x x x0.22 x x x x x
x x x x x xx x x x x x
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MOMENTO FLETOR TENSÃO ANALITICO
e_c e_(1,ef) 0_MD(Mpa) Verificaçãox x x x PASSOUx x x x PASSOUx x 2,289.30 0.6868 PASSOUx x 1,762.85 0.5289 PASSOUx x 1,248.16 0.3744 PASSOUx x 745.41 0.2236 PASSOUx x 254.18 0.0763 PASSOUx x 318.63 0.0956 PASSOUx x x x PASSOUx x x x PASSOUx x x x PASSOUx x 318.63 0.0956 PASSOUx x 254.18 0.0763 PASSOUx x 745.41 0.2236 PASSOUx x 1,248.16 0.3744 PASSOUx x 1,762.85 0.5289 PASSOUx x 2,289.30 0.6868 PASSOUx x x x PASSOUx x x x PASSOUx x
e_c e_(1,ef) 0_MD(Mpa)x x x x PASSOUx x x x PASSOUx x x x PASSOUx x x x PASSOUx x x x PASSOUx x x x PASSOUx x x x PASSOUx x x x PASSOUx x 914.73 0.0343 PASSOUx x 914.73 0.0343 PASSOUx x x x PASSOUx x x x PASSOUx x x x PASSOUx x x x PASSOUx x x x PASSOUx x x x PASSOUx x x x PASSOUx x x x PASSOU
e_c e_(1,ef) 0_MD(Mpa)x x x x PASSOUx x x x PASSOUx x x x PASSOUx x x x PASSOU
EXCENTRICIDADE DE COMBATE À
FLUÊNCIA
EXCENTRICIDADE DE 1ª RDEM
EFETIVA
MD (Kg.cm²)
MD (Kg.cm²)
MD (Kg.cm²)
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x x x x PASSOUx x x x PASSOUx x x x PASSOUx x x x PASSOUx x x x PASSOUx x x x PASSOUx x x x PASSOUx x x x PASSOUx x x x PASSOUx x x x PASSOUx x x x PASSOUx x x x PASSOUx x x x PASSOUx x x x PASSOU
e_c e_(1,ef) 0_MD(Mpa)x x x x PASSOUx x x x PASSOUx x x x PASSOUx x x x PASSOUx x x x PASSOUx x x x PASSOUx x x x PASSOUx x x x PASSOUx x x x PASSOUx x x x PASSOUx x x x PASSOUx x x x PASSOUx x x x PASSOUx x x x PASSOUx x x x PASSOUx x x x PASSOUx x x x PASSOUx x x x PASSOU
MD (Kg.cm²)
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FLEXÃO OBLIQUA DAS TERÇAS
FORÇAS Total (Kg)
cos 20
P1 135.00 112.32 30.00 277.32 0.9396P2 172.80 112.32 38.40 323.52P3 172.80 112.32 38.40 323.52P4 172.80 112.32 38.40 323.52P5 172.80 112.32 38.40 323.52P6 172.80 112.32 38.40 323.52P7 172.80 112.32 38.40 323.52P8 172.80 112.32 38.40 323.52P9 172.80 112.32 38.40 323.52P10 a 116.40 56.16 19.20 191.76TOTAL 1,633.80 1,067.04 356.40 3,057.24
Terças
Forças distribuidas Momento Fletor
Pv (Kg) Ph (Kg) Mpv (Kg.cm) Mph (Kg.m) myᵹ mxᵹP1 0.43 0.16 19,542.74 28,453.03 91.61 36.64P2 0.51 0.18 22,798.45 33,193.15 106.87 42.75P3 0.51 0.18 22,798.45 33,193.15 106.87 42.75P4 0.51 0.18 22,798.45 33,193.15 106.87 42.75P5 0.51 0.18 22,798.45 33,193.15 106.87 42.75P6 0.51 0.18 22,798.45 33,193.15 106.87 42.75P7 0.51 0.18 22,798.45 33,193.15 106.87 42.75P8 0.51 0.18 22,798.45 33,193.15 106.87 42.75P9 0.51 0.18 22,798.45 33,193.15 106.87 42.75
PESO DO TELHADO
(Kg)
PESO DAS TERÇAS
(Kg)
PESO DOS ACESSÓRIOS
(Kg)
Influência do momento fletor
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P10 a 0.30 0.11 13,513.33 19,674.58 63.34 25.34
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FLEXÃO SIMPLES NA TRELIÇA
INFLUÊNCIA DA FLECHA
Vef (Trame) Vef. Final L/200 L/150 Verificação no vão
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DIMENSIONAMENTO DOS NÓS - LIGAÇÕES
Nº doBarra
Ligação tnó (cm) (cm) (cm)
11
B.I.M.T. 10 5 5
55 D.G. 7 10 7
21
B.S.M.T. 10 5 5
56 D.G. 7 10 70 Err:512Err:512
33
B.I.M.T. 10 5 5
2 D.G. 7 10 70 Err:512Err:512
43
B.S.M.T. 10 5 5
4 D.G. 7 10 70 Err:512Err:512
55
B.I.M.T. 10 5 5
4 D.G. 7 10 70 Err:512Err:512
65
B.S.M.T. 10 5 5
6 D.G. 7 10 70 Err:512Err:512
77
B.I.M.T. 10 5 5
6 D.G. 7 10 70 Err:512Err:512
87
B.S.M.T. 10 5 5
8 D.G. 7 10 70 Err:512Err:512
99
B.I.M.T. 10 5 5
8 D.G. 7 10 70 Err:512Err:512
109
B.S.M.T. 10 5 5
10 D.G. 7 10 70 Err:512Err:512
1111
B.I.M.T. 10 5 5
10 D.G. 7 10 70 Err:512Err:512
1211
B.S.M.T. 10 5 5
12 D.G. 7 10 70 Err:512Err:512
1313
B.I.M.T. 10 5 5
12 D.G. 7 10 70 Err:512Err:512
1413
B.S.M.T. 10 5 5
14 D.G. 7 10 70 Err:512Err:512
1515
B.I.M.T. 10 5 5
14 D.G. 7 10 70 Err:512Err:512
1615
B.S.M.T. 10 5 5
16 D.G. 7 10 70 Err:512Err:512
1717
B.I.M.T. 10 5 5
16 D.G. 7 10 7
1919
B.I.M.T. 10 5 5
20 D.G. 7 10 721 D.G. 7 10 70
20 19 B.S. M.T. 10 5 50
2121
B.S.M.T. 10 5 5
20 D.G. 7 10 7###
2221
B.I.M.T. 10 5 5
22 D.G. 7 10 7###
t1 t2
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2323
B.S.M.T. 10 5 5
22 D.G. 7 10 70 0
2423
B.I.M.T. 10 5 5
24 D.G. 7 10 7###
2525
B.S.M.T. 10 5 5
24 D.G. 7 10 7###
2625
B.I.M.T. 10 5 5
26 D.G. 7 10 7###
2727
B.S.M.T. 10 5 5
26 D.G. 7 10 7###
2827
B.I.M.T. 10 5 5
28 D.G. 7 10 7###
2928
B.S.M.T. 10 5 5
28 D.G. 7 10 7###
3029
B.I.M.T. 10 5 5
30 D.G. 7 10 7###
3131
B.S.M.T. 10 5 5
30 D.G. 7 10 7###
3231
B.I.M.T. 10 5 5
32 D.G. 7 10 7###
3333
B.S.M.T. 10 5 5
32 D.G. 7 10 7###
3433
B.I.M.T. 10 5 5
34 D.G. 7 10 7###
3535
B.S.M.T. 10 5 5
34 D.G. 7 10 7###
3635
B.I.M.T. 10 5 5
36 D.G. 7 10 7###
3737
B.S.M.T. 10 5 5
36 D.G. 7 10 7###
3837
B.I.M.T. 10 5 5
38 D.G. 7 10 7###
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DIMENSIONAMENTO DOS NÓS - LIGAÇÕES
t/2 d βlinhNd (Kg)
Paraf. Paraf.(cm) (cm) calc. arred.2.5 1.6 3.13 Err:509 0.00 0 4
3.5 1.6 4.38 Err:509 0.00 0 4
2.5 1.6 3.13 Err:509 0.00 0 43.5 1.6 4.38 Err:509 659.47 1 4
2.5 1.6 3.13 Err:509 578.34 1.2 43.5 1.6 4.38 Err:509 713.09 1 4
2.5 1.6 3.13 Err:509 578.34 1.2 43.5 1.6 4.38 Err:509 1,647.51 2.4 4Err:5122.5 1.6 3.13 Err:509 3,429.96 7 73.5 1.6 4.38 Err:509 1,647.51 2.4 4Err:5122.5 1.6 3.13 Err:509 3,429.96 7 73.5 1.6 4.38 Err:509 3,294.62 4.8 5Err:5122.5 1.6 3.13 Err:509 2,672.62 5.5 63.5 1.6 4.38 Err:509 3,294.62 4.8 5Err:5122.5 1.6 3.13 Err:509 2,672.62 5.5 63.5 1.6 4.38 Err:509 2,360.85 3.5 4Err:5122.5 1.6 3.13 Err:509 1,914.57 3.9 43.5 1.6 4.38 Err:509 2,360.85 3.5 4Err:5122.5 1.6 3.13 Err:509 1,914.57 3.9 43.5 1.6 4.38 Err:509 1,425.87 2.1 4Err:5122.5 1.6 3.13 Err:509 1,156.67 2.4 43.5 1.6 4.38 Err:509 1,425.87 2.1 4Err:5122.5 1.6 3.13 Err:509 1,156.67 2.4 43.5 1.6 4.38 Err:509 492.05 0.7 4Err:5122.5 1.6 3.13 Err:509 398.95 0.8 43.5 1.6 4.38 Err:509 492.05 0.7 4Err:5122.5 1.6 3.13 Err:509 398.95 0.8 43.5 1.6 4.38 Err:509 442.87 0.6 4Err:5122.5 1.6 3.13 Err:509 499.36 1 43.5 1.6 4.38 Err:509 442.87 0.6 4Err:5122.5 1.6 3.13 Err:509 499.36 1 43.5 1.6 4.38 Err:509 276.57 0.4 4Err:5122.5 1.6 3.13 Err:509 188.71 0.4 43.5 1.6 4.38 Err:509 276.57 0.4 4
2.5 1.6 3.13 Err:509 1,534.61 3.1 43.5 1.6 4.38 Err:509 968.81 1.4 43.5 1.6 4.38 Err:509 188.71 0.3 402.5 1.6 3.13 Err:509 1,534.61 3.1 402.5 1.6 3.13 Err:509 188.71 0.4 43.5 1.6 4.38 Err:509 968.81 1.4 4#VALUE!2.5 1.6 3.13 Err:509 188.71 0.4 43.5 1.6 4.38 Err:509 276.57 0.4 4#VALUE!
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2.5 1.6 3.13 Err:509 499.36 1 43.5 1.6 4.38 Err:509 276.57 0.4 402.5 1.6 3.13 Err:509 499.36 1 43.5 1.6 4.38 Err:509 442.87 0.6 4#VALUE!2.5 1.6 3.13 Err:509 398.95 0.8 43.5 1.6 4.38 Err:509 442.87 0.6 4#VALUE!2.5 1.6 3.13 Err:509 398.95 0.8 43.5 1.6 4.38 Err:509 492.05 0.7 4#VALUE!2.5 1.6 3.13 Err:509 1,156.67 2.4 43.5 1.6 4.38 Err:509 492.05 0.7 4#VALUE!2.5 1.6 3.13 Err:509 1,156.67 2.4 43.5 1.6 4.38 Err:509 1,425.87 2.1 4#VALUE!2.5 1.6 3.13 Err:509 1,425.87 2.9 43.5 1.6 4.38 Err:509 1,425.87 2.1 4#VALUE!2.5 1.6 3.13 Err:509 1,914.57 3.9 43.5 1.6 4.38 Err:509 2,360.85 3.5 4#VALUE!2.5 1.6 3.13 Err:509 2,672.62 5.5 63.5 1.6 4.38 Err:509 2,360.85 3.5 4#VALUE!2.5 1.6 3.13 Err:509 2,672.62 5.5 63.5 1.6 4.38 Err:509 3,294.62 4.8 5#VALUE!2.5 1.6 3.13 Err:509 3,429.96 7 73.5 1.6 4.38 Err:509 3,294.62 4.8 5#VALUE!2.5 1.6 3.13 Err:509 3,429.96 7 73.5 1.6 4.38 Err:509 1,647.51 2.4 4#VALUE!2.5 1.6 3.13 Err:509 578.34 1.2 43.5 1.6 4.38 Err:509 1,647.51 2.4 4#VALUE!2.5 1.6 3.13 Err:509 578.34 1.2 43.5 1.6 4.38 Err:509 713.09 1 4#VALUE!2.5 1.6 3.13 Err:509 0.00 0 43.5 1.6 4.38 Err:509 713.09 1 4#VALUE!2.5 1.6 3.13 Err:509 0.00 0 43.5 1.6 4.38 Err:509 0.00 0 4#VALUE!
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DIMENSIONAMENTO DOS NÓS - LIGAÇÕES
4
4
4
4
7
7
6
6
4
4
4
4
4
4
4
4
4
4
4
4
4
Parafuso a utilizar
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4
4
4
4
4
4
4
4
6
6
7
7
4
4
4
4
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DIMENSIONAMENTO DAS EMENDAS
Nº da Emenda Barra tt/2
d βlinhEmenda (cm) (cm) (cm) (cm)
1 B.S. 59 10 5 5 2.5 1.6 3.13 4.73
2 B.S. 63 10 5 5 2.5 1.6 3.13 4.73
3 B.S. 66 10 5 5 2.5 1.6 3.13 4.73
4 B.S. 70 10 5 5 2.5 1.6 3.13 4.73
5 B.I. 52 10 5 5 2.5 1.6 3.13 4.73
6 B.I. 41 10 5 5 2.5 1.6 3.13 4.73
t1 t2
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DIMENSIONAMENTO DAS EMENDAS
Paraf. Paraf.(kg) calc. à utilizar
488.32 6.2 7
488.32 8.6 9
488.32 8.6 9
488.32 6.2 7
488.32 12.4 13
488.32 12.4 13
Rvd1