Barras Resistencia dos Materiais 1

DETERMINAR AS FORÇAS NAS BARRAS DA TRELICA RA 2 ULTIMOS DÍGITOS DO RA M20 0 RA 3 100 6 100 9 4 RA 12 4 RA 15 2 RA 18 2 RA 21 3 RA 24 3 RA 27 12 𝑹𝒋𝒚 30 2 RA 3 2 RA 6 3 RA 9 30 12 40 15 50 18 3 RA 21 2 RA 24 100 27 20 09 30 13 40 27 50 36 50 45 40 36 30 27 20 13 10 09 0 498 RA 6915 R𝑙y 30 0 R𝑙y 498 RA 6915 30 R𝑙y 166 RA 2305 Fx 0 R20 x 20 30 40 50 50 40 30 20 10 0 R20 x 20 kgf 7 M1 0 3 RA 3 3 RA 6 2 RA 9 2 RA 12 4 RA 15 4 RA 13 100 21 100 24 RA 27 R20y 30 100 3 2 RA 6 3 RA 9 50 12 40 15 30 13 3 RA 21 2 RA 24 2 RA 27 10 09 20 13 30 27 40 36 50 45 50 36 40 27 30 18 20 09 0 432 RA 5685 R20y 30 0 R20y 432 RA 5695 30 R20y 144 RA 1895 3RA 30 knf 07 m 09 m 09 m 2 RA 3 m 3 m 3 m 2 RA 15 Gra 2305 15 RA 2305 03 F35 F34 F12 155 RA2305 F15 F12 Fy0 156 RA2305 F150 156 RA 2305 F max 0 156 RA2305 03 107 107 F1203 166 107 RA 2305 F 130 156 RA 2305 Fx0 F12 F15 0 F12 F13 wx 0 F12 16CRA 2305 03 109 0 03 F12 F12 15C R A 2305 03 3 RA 30 Rg 09 m 09 m 09 m 2 RA 3 m 15 CRA2305 03 T Fy0 2 RA F230 F23 3 RA T F23 15 C RA 2305 03 T 3 RA 30 Rc ft 09 m 09 m 09 m 2 RA 3 m 3 m 3 m ƩFx0 15 CRA 2305 10 16 CRA2305 03 F35 F34 10 15 CRA 2305 03 107 10 166 R A 2305 03 F35 10 15 CRA 2305 03 166 RA 2305 03 F35 F34 0 F34 10 16 CRA 2305 03 197 F35 1 107 F35 1 107 x107 cos 1 1 107 03 1 Total 100 16 CRA 2305 107 03 3 RA F34 03 F35 03 LR 100 16 CRA 2305 3 RA 10 166 RA F35 03 03 03 03 03 03 03 03 03 03 03 03 03 03 03 03 03 03 35302 RA2 F35 03 0 358302 RA 2 F35 03 C F35 I F34 10109 166 RA 230503 109 358 302 RA06 109 F34 1006109 2166 RA 2305109 358 302 RA10906 F34 6109 332 RA 461109 358 302 RA10906 F34 6 332 RA 461 358 302 RA 10906 F34 97 3 RA 10906 c 3 RA 09 m 09 m 09 m 10 3 100 3 RA F35 F34 166 RA 230503 Fx 10 166 RA 230503 109 1109 97 3 RA10906 1109 9706 3 RA06 10 166 RA03 230503 358 302 RA06 97 3 RA 06 06 06 0 0 RA06 0 Fy 100 166 RA 230503 97 3 RA10906 358 302 RA10906 100 166 RA 2305 3 RA 485 15 RA 179 151 RA 0 0 RA 0 F34 97 3 RA 10906 c 358 302 RA 2 f35 03109 0 358 302 RA 2 f35 03109 Elemento Área dxi dyi Ixi Iyi I 9πRA2 2 4RAπ 9π 320RA2π 162 9π2 40π 648RAπ2π 162 0 3π 208RA4 2π 324 3π 208RA4 2π 324 30125πRA4 88938RA4 II πRA2 2 2RA 4RA3π 9π 320RA2π 162 153π2 1848π 648RA3π2π 162 RA 3π 208RA4 2π 324 457π 532RA4 2π 324 0125πRA4 01098RA4 III πRA2 4 4RA3π 9π 320RA2π 162 27π2 1044π 648RA3π2π 162 4RA3π 3π 208RA4 2π 324 9π2 456π 1296RA3π4 2π 324 0054888RA4 005488RA4 IV πRA2 4 2RA 4RA3π 9π 320RA2π 162 153π2 1848π 648RA3π2π 162 RA 4RA3π 3π 208RA4 2π 324 339π2 561π 1296RA3π4 2π 324 0054888RA4 005488 RA4 V 9RA2 2RA 9π 320RA2π 162 33π 4RA2π 162 RA 3π 208RA4 2π 324 457π 532RA4 2π 324 45RA4 18RA4 VI 18RA2 3RA 9π 320RA2π 162 54π 166RA2π 162 15RA 3π 208RA4 2π 324 60π 278RA4 2π 324 135 RA4 54RA4 Ix ΣIxi Aidyi2 Ix 30125πRA4 9πRA22 3π208RA42π3242 0125πRA4 πRA22 457π 532RA42π 3242 0054888RA4 πRA24 9π2 456π 1296RA3π42π 324 0054888RA4 πRA24 339π2 561π 1296RA3π42π 324 45RA4 9RA2 457π 532RA42π 3242 135RA4 18RA2 60π 278RA42π 3242 Ix RA4 30125π 0125π 0054888 005488 45 135 9π2 9π2 2248π 4306442π 3242 π2 2025π2 47880π 28302442π 3242 π4 81π4 184608π2 679646 82087π3 1181952π9π2 42π 3242 π4 13689π4 569500π2 1679616 120744π3 1337 472π9π2 42π 3242 9 2025π2 47880π 28302442π 3242 18 3600π2 33360π 7728442π 3242 Ix RA4 50π 1789024 405774 6616173 194688π2π42π 3242 1012 57π4 239407π3 1415127π2π42π 3242 2257π4 5128π2 46656 228π3 32832ππ42π 3242 38025π4 15820π2 46656 335417π2 37152ππ42π 3242 138225π3 430920π3 254726ππ42π 3242 64800π3 600480π7 1391 112ππ42π 3242 Ix RA4 30π 1789024 1354 517π4 61197π³ 1063628772 3934008π 93312π42π 3242 Iy ΣIyi Ai dxi2 Iy 88938RA4 9πRA22 9π2 404π 648RA2π2π 162 01098RA4 πRA22 153π2 1848π 648RA23π2π 162 0054888RA4 πRA24 277π2 404π 648RA23π2π 162 0054888RA4 πRA24 153π2 1848π 648RA23π2π 162 38RA4 9RA2 33π 4RA22π 462 54 RA4 18 RA4 54π 166RA22π 162 Iy RA4 88938 01098 005488 005488 18 54 45π 81π4 174880π2 419904 7272π3 523584ππ2 2π 1622 π2 23409 π4 3216816 π2 419904 565488π3 2395008π9 π2 2π 1622 π4 729π4 12492387 π2 419904 5637617 1353024719 π2 2π 1622 π4 23409 π4 3216816 π2 419904 565488π3 2395008π9 π2 2π 1622 9 1089π2 264π 162π 1622 18 29167π2 17928π 275662π 1622 Iy RA4 8067044 3645π4 786950 π2 1889 568 327247π3 23561287π π 2π 1622 1950 757π4 2680687π2 349982 472417π3 399684ππ 2π 1622 20257π4 312487π2 11664 1566π3 37584ππ 2π 1622 9801π3 2376π2 14417 π 2π 1622 524887π3 320704π2 49600871π 2π 1622 Iy RA4 8067044 16065174 46323π7812724 π7 30142807π 1842912π 2π 1622 Substituindo RA 81 obtemos x 9π 3202π 162 81 x 12374 y 3π 2084 2π 324 81 ȳ 3663 Ix 814 30π 1789024 13545174 61197π³ 1063628772 3934008π 93312 π 42π 3242 Ix 3739046267 Iy 814 8067044 16065174 46323π781274 π7 30142807π 1842912 π 2π 1622 Iy 8307469329