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Laboratorium

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]

pręt ściskany

S3 = -13000 [N]

pręt ściskany

S9 = - 9818 [N]

pręt ściskany

S4 = - 18384 [N]

pręt ściskany

S10 = 13885 [N]

pręt rozciągany

S5 = -26000 [N]

pręt ściskany

S11 = 0 [N]

 

S6 = -6000 [N]

pręt ściskany

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