Avalliação a Resolvida-2022 1

MOMENTO X = \frac{41,6021}{2,1} = 21,90571476 \, m \sum M_{A} = 0 -2,1 \cdot 5^{2} - \frac{41,2 \cdot 2,5 - 8,3 \cdot 5 + DY \cdot 7,5 + 8,7 - 5,2 \cdot 10} = 0 DY = 16,206,7 \, KN \uparrow \sum FY = 0 -2,1 \cdot 5 - 41,2 - 8,3 - 5,2 + DY + AY = 0 AY = 11,9933 \, KN \uparrow A: AY B: AY - 2,1 \cdot 2,5 = 6,7433 B = 6,7433 - 4,2 = 2,5433 C = 2,5433 - 2,1\cdot 2,5 = -2,7067 C = -2,7067 - 8,3 = -11,0067 D = -11,0067 + D = 5,2 CORTANTE 11,9933 6,7433 2,5433 -2,7067 -11,0067 5,2 A_{1} = \frac{11,9933 + 6,7433}{2} \cdot 2,5 = 23,42083 A_{2} = \frac{2,5433^{2}}{2 \cdot 2,1} = 1,540089 A_{3} = \frac{2,7067^{2}}{2 \cdot 2,1} = 1,744339 A_{4} = 11,0067 \cdot 2,5 = 27,51675 A_{5} = 5,2 \cdot 2,5 = 13 MOMENTO X = \frac{2,5433}{2} = 1,271095 \, m 23,42083 24,96096 23,21666 AB V = -2,1X + AY V = -2,1X + 11,9933 M = \int V \, dx M = \frac{-2,1X^{2}}{2} + 11,9933X BC V = -2,1X + C V = -2,1 \cdot 2,5 + C = 2,5433 C = 7,7933 V = -2,1X + 7,7933 M = \frac{-2,1X^{2}}{2} + 7,7933X + C -\frac{2,1 \cdot 2,5^{2}}{2} + 7,7933 \cdot 2,5 + C = 24,42083 C = 11,48508 M = \frac{-2,1X^{2}}{2} + 7,7933X + 11,48508 CD V = -11,0067 x = 7,5 M = -4,3 M = -11,0067 \cdot 7,5 + C = -4,3 C = 78,2525 M = -11,0067X + 78,2525 (a) CY - GY: 4,1.5 / 2 CY - GY: 10,5 kN ↑ + Tração - Compressão BD DC CE 4,1 10,5 Σ MD: 0 +4,2.2,5 + CE.0,0028 = 0 CE = 4,2.2,5 / 2.2,1 CE = -2,5 kN Σ MB: 0 10,5.2,5 + DE .2,5 - 2,5 . 2,1 = 0 DC = -8,4 kN DF DE 4,2 2,5 10,5 Σ ME: 0 -10,5.2,5 + 4,2 .5 + 4,2 . 2,5 + - DF . 2,5 / 2,2,1 - DF . 2,1 / 2,5^2 + 2,1^2 = 0 DF = 10,5.2,5 - 4,2.5 - 4,2.2,5 / 2,5^2 + 2,1^2 - 2,5.2,1.2,1.2,5 DF = 1,0883 kN Σ FY: 0 -4,2.2 + 10,5 + 1,0883.2,1 / 2,5^2 + 2,1^2 - DE.4,2 / √4,2^2 + 2,5^2 = 0 DE = 3,2585 kN (b) Nó A Σ FX: 0 AC = OK Σ FY: 0 AB = 0 kN Nó B 4,2 BD BC θ=θ | BD | = | BC | = F Σ FY: 0 -4,2 + 2. F.2,1 / √2,1^2 + 2,5^2 = 0 BD = 3,265 kN BC = -3,265 kN F = 3,265 kN [2] Ponto A 5,2 AX = 5,2 kN Ponto B 5,2 5,2 BX BX+ = 5,2 kN MB+ 4,1 kN MB OK Ponto C CX+ = 5,2 kN CX+ = 5,2 - 8,3 CX+ = -3,1 kN MB- = MC+ 4,1 kN Ponto D DX = DX+ = -3,1 kN MD = 4,1 kN.m MD+ OK Ponto E EX- = 8,7 kN EX+ OK ME OK [3] Σ MA: 0 -8,7.4,2 - 8,3.2.4,2 + DY .3.4,2 + 4,1 -2,1.(3.4,2) / 2 = 0 DY = 21,3377936 kN Σ FY: 0 2,1.3.4,2 - 8,7 + 8,3 + DY + AY: = 0 AY = 22,12206349 kN ↑ VA = 22,1221 kN VB = 22,1221 - 2,1.4,2 - 8,7 = 4,6021 kN VB = 22,1221 - 2,1.4,2 = 13,2021 kN VC = 4,6021 - 2,1.4,2 - 8,3 = -4,2179 kN VC = 4,6021 - 2,1.4,2 = -12,5179 kN VD = -21,3379 kN CORTANTE 22,1221 13,2021 4,6021 -4,2179 -12,5179 -21,3379 MA = 0 kN.mm MB = -2,1.2,12 / 2 + 13,4221.2,12 + 36,53885 = 74,39067 kN.mm MC = 74,39067 + 4,6021.2 / 2,1 = 79,43328 kN.mm MD = 79,43328 + 9,1.4,12 / 2 + 13,4221.4,2 + 36,53885 = 75,19733 kN.mm MD = 75,19733 - 4,1 = 71,097733 kN.mm DE V = 5,2 M = 5,2X + C 5,2.10 + C = 8,7 C = -43,3 M = 5,2X - 43,3 x = 10 M = 8,7 Digitalizado com CamScanner