Esercitazioni Costruzioni aeronautiche

V T(z) M(z)

Dati del problema v(z) Modulo elastico E 7.2E+10 Pa 0 500 -500 0 Diagramma del taglio Tensione di snervamento σ_s 4.41E+08 Pa 0.02 495 -490.05 -5.2E-08 () = − + Tensione di rottura σ_r 5.16E+08 Pa 0.04 490 -480.2 -2.07E-07 600 Lunghezza trave l 2 m 0.06 485 -470.45 -4.62E-07 500 Larghezza trave a 0.12 m 0.08 480 -460.8 -8.15E-07 400 Altezza trave b 0.2 m 0.1 475 -451.25 -1.27E-06 Taglio 300 Spessore cap d 0.01 m 0.12 470 -441.8 -1.81E-06 200 Spessore web t 0.01 m 0.14 465 -432.45 -2.45E-06 100 Carico esterno q 250 N/m 0.16 460 -423.2 -3.17E-06 0.18 455 -414.05 -3.99E-06 0 0 0.5 1 1.5 2 2.5 Momenti d'inerzia 0.2 450 -405 -4.89E-06 Posizione I_1 1.08E-05 m⁴ 0.22 445 -396.05 -5.88E-06 I_2 4.86E-06 m⁴ 0.24 440 -387.2 -6.95E-06 I_3 1.08E-05 m⁴ 0.26 435 -378.45 -8.1E-06 I 2.65E-05 m⁴ 0.28 430 -369.8 -9.33E-06 Diagramma del momento 0.3 425 -361.25 -1.06E-05 Reazioni vincolari 0.32 420 -352.8 -1.2E-05 Posizione =− + − Reazione lungo y -500 N 0.34 415 -344.45 -1.35E-05 -600 2 2 Momento intorno ad x 500 Nm 0.36 410 -336.2 -1.5E-05 -500 0.38 405 -328.05 -1.66E-05 -400 Momento 0.4 400 -320 -1.83E-05 -300 0.42 395 -312.05 -2E-05 -200 0.44 390 -304.2 -2.18E-05 -100 0.46 385 -296.45 -2.37E-05 0 0 0.5 1 1.5 2 2.5 0.48 380 -288.8 -2.56E-05 0.5 375 -281.25 -2.76E-05 0.52 370 -273.8 -2.96E-05 0.54 365 -266.45 -3.17E-05 Deflessione della linea media 0.56 360 -259.2 -3.39E-05 0 0.5 1 1.5 2 2.5 0.58 355 -252.05 -3.61E-05 0 =− ( − 4 + 6 ) 0.6 350 -245 -3.84E-05 24 0.62 345 -238.05 -4.07E-05 -0.00005 0.64 340 -231.2 -4.31E-05 -0.0001 Deflessione 0.66 335 -224.45 -4.55E-05 0.68 330 -217.8 -4.79E-05 -0.00015 0.7 325 -211.25 -5.05E-05 -0.0002 0.72 320 -204.8 -5.3E-05 -0.00025 0.74 315 -198.45 -5.56E-05 -0.0003 0.76 310 -192.2 -5.82E-05 0.78 305 -186.05 -6.09E-05 Posizione 0.8 300 -180 -6.36E-05 0.82 295 -174.05 -6.64E-05 0.84 290 -168.2 -6.92E-05 0.86 285 -162.45 -7.2E-05 0.88 280 -156.8 -7.49E-05 =− n≡ ≡ 0.9 275 -151.25 -7.78E-05 0.92 270 -145.8 -8.07E-05 Massima deflessione -0.000262 m 0.94 265 -140.45 -8.36E-05 σ 1883949 Pa 0.96 260 -135.2 -8.66E-05 (nel punto più sollecitato) Plasticizzazione Falso 0.98 255 -130.05 -8.96E-05 Rottura Falso 1 250 -125 -9.27E-05 1.02 245 -120.05 -9.57E-05 1.04 240 -115.2 -9.88E-05 1.06 235 -110.45 -0.000102 1.08 230 -105.8 -0.000105 1.1 225 -101.25 -0.000108 1.12 220 -96.8 -0.000111 1.14 215 -92.45 -0.000115 1.16 210 -88.2 -0.000118 1.18 205 -84.05 -0.000121 1.2 200 -80 -0.000124 1.22 195 -76.05 -0.000128 1.24 190 -72.2 -0.000131 1.26 185 -68.45 -0.000134 1.28 180 -64.8 -0.000138 1.3 175 -61.25 -0.000141 1.32 170 -57.8 -0.000144 1.34 165 -54.45 -0.000148 1.36 160 -51.2 -0.000151 1.38 155 -48.05 -0.000154 1.4 150 -45 -0.000158 1.42 145 -42.05 -0.000161 1.44 140 -39.2 -0.000165 1.46 135 -36.45 -0.000168 1.48 130 -33.8 -0.000171 1.5 125 -31.25 -0.000175 1.52 120 -28.8 -0.000178 1.54 115 -26.45 -0.000182 1.56 110 -24.2 -0.000185 1.58 105 -22.05 -0.000189 1.6 100 -20 -0.000192 1.62 95 -18.05 -0.000195 1.64 90 -16.2 -0.000199 1.66 85 -14.45 -0.000202 1.68 80 -12.8 -0.000206 1.7 75 -11.25 -0.000209 1.72 70 -9.8 -0.000213 1.74 65 -8.45 -0.000216 1.76 60 -7.2 -0.00022 1.78 55 -6.05 -0.000223 1.8 50 -5 -0.000227 1.82 45 -4.05 -0.00023 1.84 40 -3.2 -0.000234 1.86 35 -2.45 -0.000237 1.88 30 -1.8 -0.000241 1.9 25 -1.25 -0.000244 1.92 20 -0.8 -0.000248 1.94 15 -0.45 -0.000251 1.96 10 -0.2 -0.000255 1.98 5 -0.05 -0.000258 2 0 0 -0.000262

Parametro Simbolo Valore Unità di misura

Dati del velivolo Velocità (m/s) n+ Ude (V>Vc) Ude (V<Vc) n+ Ude 7.6 n+ Ude 15.2 Inviluppo n+ Lw + Velocità (m/s) n- Ude (V>Vc) Ude (V<Vc) n- Ude 7.6 n- Ude 15.2 Inviluppo n- Lw- Superficie alare S 18.6 m² 42.4577 0.00 7.6 15.20 1.14 1.28 0.00 -10.48 55.3581 0.00 7.60 15.20 0.82 0.64 0.00 -17.81 Diagramma di manovra e di raffica Corda media aerodinamica c 1.5 m Vs 42.4577 1.00 7.6 15.20 1.14 1.28 1.00 18.02 VsR 55.3581 -1.00 7.60 15.20 0.82 0.64 -1.00 -46.31 Coefficiente di portanza massimo CLmax 1.36 43 1.03 7.6 15.20 1.14 1.28 1.03 18.49 56 -1.02 7.60 15.20 0.82 0.63 -1.02 -47.39 4.00 Coefficiente di portanza massimo in volo rovescio CLmaxR 0.8 44 1.07 7.6 15.20 1.14 1.29 1.07 19.36 57 -1.06 7.60 15.20 0.81 0.63 -1.06 -49.10 Coefficiente di momento focale Cmf 0.02 45 1.12 7.6 15.20 1.15 1.29 1.12 20.24 58 -1.10 7.60 15.20 0.81 0.62 -1.10 -50.84 3.00 Gradiente retta di portanza Clα 5 rad^-1 46 1.17 7.6 15.20 1.15 1.30 1.17 21.15 59 -1.14 7.60 15.20 0.81 0.61 -1.14 -52.61 Distanza fuoco impennaggio - baricentro a 0.06 m 47 1.23 7.6 15.20 1.15 1.31 1.23 22.08 60 -1.17 7.60 15.20 0.80 0.61 -1.17 -54.40 2.00 Distanza fuoco parziale -- fuoco impennaggio a+l 6 m 48 1.28 7.6 15.20 1.16 1.31 1.28 23.03 61 -1.21 7.60 15.20 0.80 0.60 -1.21 -56.23 [-] Peso massimo al decollo W max T-O 2850 kg f 49 1.33 7.6 15.20 1.16 1.32 1.33 24.00 62 -1.25 7.60 15.20 0.80 0.59 -1.25 -58.09 1.00 n 50 1.39 7.6 15.20 1.16 1.33 1.39 24.99 63 -1.30 7.60 15.20 0.79 0.59 -1.30 -59.98 V [m/s] Dati noti 51 1.44 7.6 15.20 1.17 1.33 1.44 26.00 64 -1.34 7.60 15.20 0.79 0.58 -1.34 -61.90 0.00 Densità aria al livello del mare ρ0 0.125 kgf s² m^-4 52 1.50 7.6 15.20 1.17 1.34 1.50 27.03 65 -1.38 7.60 15.20 0.79 0.58 -1.38 -63.85 0 20 40 60 80 100 120 140 53 1.56 7.6 15.20 1.17 1.35 1.56 28.08 66 -1.42 7.60 15.20 0.78 0.57 -1.42 -65.83 -1.00 Dati ricavati 54 1.62 7.6 15.20 1.18 1.35 1.62 29.15 Vg 66.1882 -1.43 7.60 15.20 0.78 0.57 -1.43 -66.21 Velocità di stallo Vs 42.4577 m/s 55 1.68 7.6 15.20 1.18 1.36 1.68 30.24 67 -1.43 7.60 15.20 0.78 0.56 -1.43 -66.83 -2.00 Velocità di stallo in volo rovescio VsR 55.35807 m/s 56 1.74 7.6 15.20 1.18 1.37 1.74 31.35 68 -1.43 7.60 15.20 0.78 0.56 -1.43 -67.62 Volo dritto Volo rovescio Velocità di crociera Vc 342.5115 km/h 57 1.80 7.6 15.20 1.19 1.37 1.80 32.48 69 -1.43 7.60 15.20 0.77 0.55 -1.43 -68.42 Vc 95.14207 m/s 58 1.87 7.6 15.20 1.19 1.38 1.87 33.63 70 -1.43 7.60 15.20 0.77 0.54 -1.43 -69.22 Raffica 7.6 Raffica 15.2 Velocità di affondata Vd 133.1989 m/s 59 1.93 7.6 15.20 1.19 1.39 1.93 34.80 71 -1.43 7.60 15.20 0.77 0.54 -1.43 -70.04 Raffica 7.6 rovescio Raffica 15.2 rovescio Fattore di carico limite nlim 3.573869 60 2.00 7.6 15.20 1.20 1.39 2.00 35.99 72 -1.43 7.60 15.20 0.76 0.53 -1.43 -70.87 Fattore di carico limite in volo rovescio nlimR -1.429548 61 2.06 7.6 15.20 1.20 1.40 2.06 37.20 73 -1.43 7.60 15.20 0.76 0.52 -1.43 -71.72 Velocità a nlim Va 80.26493 m/s 62 2.13 7.6 15.20 1.20 1.41 2.13 38.43 74 -1.43 7.60 15.20 0.76 0.52 -1.43 -72.57 Velocità a nlimR Vg 66.18816 m/s 63 2.20 7.6 15.20 1.21 1.41 2.20 39.68 75 -1.43 7.60 15.20 0.75 0.51 -1.43 -73.44 Inviluppo di volo 64 2.27 7.6 15.20 1.21 1.42 2.27 40.95 76 -1.43 7.60 15.20 0.75 0.50 -1.43 -74.32 Rapporto di massa μg 33.32128 - 65 2.34 7.6 15.20 1.21 1.42 2.34 42.24 77 -1.43 7.60 15.20 0.75 0.50 -1.43 -75.20 4.00 Fattore di attenuazione della raffica Kg 0.759238 - 66 2.42 7.6 15.20 1.22 1.43 2.42 43.55 78 -1.43 7.60 15.20 0.75 0.49 -1.43 -76.11 3.00 67 2.49 7.6 15.20 1.22 1.44 2.49 44.88 79 -1.43 7.60 15.20 0.74 0.48 -1.43 -77.02 Parametri per il calcolo dei carichi di bilanciamento K1 28.5 kgf 68 2.57 7.6 15.20 1.22 1.44 2.57 46.23 80 -1.43 7.60 15.20 0.74 0.48 -1.43 -77.94 2.00 K2 0.005813 kgf/m 69 2.64 7.6 15.20 1.23 1.45 2.64 47.60 81 -1.43 7.60 15.20 0.74 0.47 -1.43 -78.88 70 2.72 7.6 15.20 1.23 1.46 2.72 48.99 82 -1.43 7.60 15.20 0.73 0.46 -1.43 -79.83 [-] 1.00 71 2.80 7.6 15.20 1.23 1.46 2.80 50.40 83 -1.43 7.60 15.20 0.73 0.46 -1.43 -80.78 n V [m/s] Coeff. Ang. Ultimo tratto lineare (volo rovescio) m_n- -0.037564 72 2.88 7.6 15.20 1.24 1.47 2.88 51.83 84 -1.43 7.60 15.20 0.73 0.45 -1.43 -81.76 0.00 73 2.96 7.6 15.20 1.24 1.48 2.96 53.28 85 -1.43 7.60 15.20 0.72 0.44 -1.43 -82.74 0 20 40 60 80 100 120 140 -1.00 74 3.04 7.6 15.20 1.24 1.48 3.04 54.75 86 -1.43 7.60 15.20 0.72 0.44 -1.43 -83.73 75 3.12 7.6 15.20 1.25 1.49 3.12 56.24 87 -1.43 7.60 15.20 0.72 0.43 -1.43 -84.74 -2.00 76 3.20 7.6 15.20 1.25 1.50 3.20 57.75 88 -1.43 7.60 15.20 0.71 0.42 -1.43 -85.75 77 3.29 7.6 15.20 1.25 1.50 3.29 59.28 89 -1.43 7.60 15.20 0.71 0.42 -1.43 -86.78 78 3.38 7.6 15.20 1.25 1.51 3.38 60.82 90 -1.43 7.60 15.20 0.71 0.41 -1.43 -87.82 79 3.46 7.6 15.20 1.26 1.52 3.46 62.39 91 -1.43 7.60 15.20 0.70 0.41 -1.43 -88.88 80 3.55 7.6 15.20 1.26 1.52 3.55 63.98 92 -1.43 7.60 15.20 0.70 0.40 -1.43 -89.94 Va 80.2649 3.57 7.6 15.20 1.26 1.52 3.57 64.41 93 -1.43 7.60 15.20 0.70 0.39 -1.43 -91.01 81 3.57 7.6 15.20 1.26 1.53 3.57 63.72 94 -1.43 7.60 15.20 0.69 0.39 -1.43 -92.10 Diagramma dei