Método das Forças

Exercícios Método das Forças Resolva as estruturas pelo método das forças Considere E 25000 MPa seção retangular 20x50 cm2 Diagram with length 3m and 4m titled CASO 0 Calculations M3 2032 8 225 Kwm M2 2042 8 40 Kwm Moment diagram values 225 and 40 CASO 1 with diagram calculation δ11 13 1 1 3 13 1 1 4 δ11 73 Calculation δ10 13 225 1 3 13 1 40 4 δ10 7583 Equation δ10 δ11 X1 0 X1 7583 73 X1 325 Kwm Moment equilibrium ΣMB0 X1 AY 3 2033 2 0 AY 1916 Kw CY 4 2043 2 X1 0 CY 31875 Kw ΣFy 0 AY BY CY 207 0 BY 889583 Kw AY 203 4083 BY 48125 20 4 CY Shear diagram labeled CORTANTE with values 1916 48125 4083 31875 Axes VKw vertical and X m horizontal Calculation As 19162 2 20 9184 Kwm A4 318752 2 20 254 Kwm Moment diagram with values 325 9184 254 MOMENTO labeled At bottom CASO 0 diagram Calculations M3 2032 8 225 Kwm M2 4032 8 4032 2 35 Kwm M3 4032 2 20 Kwm Moment diagram values 225 35 20 CASO 1 with diagram δ11 13 1 1 3 13 1 1 3 δ11 2 δ10 13 1 225 3 16 1 0 235 3 δ10 575 X3 5752 X3 2875 kNm 20 fA A tA X1 B Y ΣMB0 X3 20 3²2 AY 3 0 AY 2041 kN 40 X1 B Y C Y ΣMB0 X3 CY 3 40 4²2 0 CY 97083 kN ΣFY0 AY BY CY 20 3 40 4 0 BY 1025 kN Digitalizado com CamScanner AY 20 3 39583 kN 62916 40 3 57083 kN 39583 BY 62916 kN CORTANTE 62916 40 39583 57083 2041 32 10421 kNm AS 2041 ² 10421 kNm 2 20 X1 62916 ² 20733 kNm 2 40 MOMENTO 2875 20 5042 20733 Digitalizado com CamScanner 3 CASO 0 24 18 6 6 6 6 6 6 6 M0 M2 M3 M4 M5 M6 M7 M7 18 9²2 9 kNm M6 18 25 ²2 5625 kNm M5 18 4 ²2 144 kNm M4 18 55 ²2 2725 kNm M8 18 7²2 441 kNm M2 18 7 55 24 4²2 743 kNm M3 24 4²2 18 7 75 1137 kNm M3 M2 M3 M4 M5 M6 M7 CASO 1 10 Digitalizado com CamScanner CASO 2 CASO 3 δ10δ13X₁δ12X₂δ13X₃0 δ20δ21X₁δ22X₂δ23X₃0 δ30δ31X₁δ32X₂δ33X₃0 δ1113101018 δ1110003 δ2213777 δ223433 δ3313444 δ33643 δ30164113727434 δ306984 δ2016711374443413747434 164144227253 δ2018728 δ101610113764434133067434 1664431556253136151443 16152925625 δ10276579375 δ13δ3116423064 δ13δ312083 δ23δ321644274 δ23δ3248 δ12δ2116772303 δ12δ2111276 X₁4392kw X₂5146kw X₃75261kw X₁Dy X₃By X₂Cy Fy0 244187AyCyByDy0 Ay5135kwt MA0 By4Cy7Dy10 244²2MA187750 MA3646 kwn A AY 244 4465 kW 2338 CY 2807 kW 4465 BY 3065 kW 2807 183² 2592 kW 3065 183 2338 kW CORTANTE 5135 3065 2807 18 VkW xkm 2338 2592 4465 MA 5135² 18467 kWm 2306 3065² 2962 kWm 224 238 18467 4465² 2306 kWm 224 2962 2338² 1223 kWm 238 1223 2807² 96 kWm 238 MOMENTO 3646 2306 1223 9 Mkwm xkm 18467 2962 966 Digitalizado com CamScanner