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G
Ix = 20 . 165 / 12 = 6826,67 cm4
Iy = 20 . 83 / 12 = 426,67 cm4
Ixg = -10 . 83 / 12 = -426,67 cm4
Iy = 6940 cm4
Ixy = 0
Nz = F = 20 KN
Mx = F . Qy = 20 . 8 = + 160 KNcm
Ry = F l = 20 . 10 = 200 KNcm
σz = Nz / A = 20000 / 240 = 0,83 MPa
Gm = Mx / Ix yg = 16000 / 6400 . 8 = 2 MPa
σMx da N.A.
Gmx o y
Gmr = Ry / Iy x = 20000 / 1000 . 10 = σMx + Ry x / Iy
σMxfy + Ry My (Mx) = 10 e 12
Nz My. x yg = 0
Nz / A Ix / vs My . x = 0
- 83,33 + 25 . yg - 20 = -70
yi = 83,33 - 25 . yg - 9,8 x 3,33 / 25
yg = 7,08 x 3,33 Asse Neutro
P (4,12)
σf = Nz / A + Mx / Ix - My / Iy 4
83,33 - 50 + 80 = 2,13 MPa
Imposta L = 4 m
q = 12 cm
F = 15 KN
yg = 9.66
AI = q (q + q / 3) = 12 . 18 = 216 cm2
AII = q2 = 4 . 12 = 48 cm2
xI = AI . ygI = 1934.4 cm3
xII = AII . ygII = 288
Sx = A = 216 + 48
Ix = IxI + IxII + AI (yg - ygI)2 + AII (q,86 - 6)2 = 4790.58 cm4
q = xx / A = 5991.75 / 168 = 5.29
SE = (q - yg)
12 - 3,86 = 2.14
Mx = F . (q - yg) = 32 100 Nm = 32 100 Nmm
qmax = Mx / Ix = 55.59 + 0.55 MxIn / Ix = 67.33 = 0.67 Nmm2
GIUGNO 2021
xG = 0
ψG = 5 cm
A = AI + AII = 160 cm2
SI = 25; SII = 35; C = (xc, yc)
(256 · 8) - (35 · 0) = 6.8 cm
γ = 0.2
(45 · 453 - 16 · 163) / 12 = 5887.87 cm4
(35 · 353 - 12 · 123) / 12 = 3689.38 cm4
Ix = IxI + IxII + AI(yG - yc)2 + Bc (80 -10)2 = 2135.04 cm4
NZ = F = 10 kN
Mx = F · L = 10 · 2.8 = 28 kN cm
NZT = A
MTx = 0
(N + Mx) / Ix = σ
yGN = - ( NZ + Mx ) / A = 8.25 cm
σT = NZ + Mx / Ix
= 3 · 0.085 MPa
zz + nnf + mafx + mafy =
xmin = zz + nn + Fx + Fy = 0.48 - 0.75 - 0.66 = 0.9 MPa
IP = MPa