Laboratorium
Wytrzymałość materiałów
Ćwiczenie
nr 1
Temat: Projekt kratownicy płaskiej.
Grupa M 22
Ocena końcowa
Dane:
a = 3 [m]
P1 = 6000 [N]
P2 = 13000 [N]
P3 = 4500 [N]
G = 1800
D = 2700
E = 450
Obliczenia.
p = 2w - 3,
w = 7,
p = 11.
SMiA = P2 × 3a + P3 × cos 450 × a - P3 × sin 450 × 2a - RF × a - P1 × a = 0,
RF = 29818 [N] .
Sx = RAx + P1 - P3 × cos 450 = 0,
RAx = - 2818 [N] .
Sy = RAy - P2 + RF + P3 × sin 450 = 0,
RAy = -20000 [N] .
Wêze³ D:
Sy = - S4 × sin 450 - P2 = 0,
S4 = - 18384 [N] .
Sx = - S3 - S4 × sin 450 = 0,
S3 = -13000 [N] .
Węzeł C:
Sx = S3 - S2 = 0,
S2 = -13000 [N] .
Sy = S11 = 0,
S11 = 0 [N] .
Węzeł E:
Sy = S11 + S10 × sin 450 + S4 × cos 450 + P3 × sin 450 = 0,
S10 = 13885 [N] .
Sx = S4 × cos 450 - S10 × cos 450 - S5 - P3 × cos 450 = 0,
S5 = -26000 [N] .
Wêze³ B:
Sy = - S9 - S10 × sin 450 = 0,
S9 = -9818 [N] .
Sx = S2 - S1 - S10 × cos 450 = 0,
S1 = 22818 [N] .
Wêze³ A:
Sx = S1 + RAx + S8 × cos 450 = 0,
S8 = - 28284 [N] .
Sy = RAy - S7 - S8 × sin 450 = 0,
S7 = 0 [N] .
Węzeł G:
Sx = P1 + S6 = 0,
S6 = -6000 [N] .
Sy = S7 = 0,
S7 = 0 .
Wyniki:
S1 = 22818 [N]
pręt rozciągany
S7 = 0 [N]
S2 = -13000 [N]
pręt ściskany
S8 = - 28284 [N]
S3 = -13000 [N]
S9 = - 9818 [N]
S4 = - 18384 [N]
S10 = 13885 [N]
S5 = -26000 [N]
S11 = 0 [N]
S6 = -6000 [N]
marzenka_k1