a1b31c2c-125b-41b0-8541-caaddead59a3 13 4 5 decimal

&[DATE] &[TIME] - &[FILENAME]

b

G 800 N * :

h 4 m * :

a 2 m * :

b 4 m * :

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 #

z

h

Kraftvektoren (Vektoren bekommen den Index vec angehängt)

F.AD

G.vec 00 G - 31 mat :

F.ABvec 0 F.AB 031 mat :

F.ACvec F.AC 0031 mat :

F.ADvec F.AD l.AD / a - b - h 31 mat * :

y

a

b

F.AB

x

l.AD a 2^b 2^+ h 2^+ sqrt : 6 m *

F.AC

G

Gleichgewichtsbedingung am Massenpunkt:

G.vec F.ABvec + F.ACvec + F.ADvec + 00031 mat ≡

Vektoriell:

ΣF 0 ≡

Vektorgleichungen müssen mit rechter Seite = 0 oder als Einzelgleichungen angegeben werden.

G.vec F.ABvec + F.ACvec + F.ADvec + F.AB F.AC F.AD 31 mat Solve Assign 800 kg * m * s 2^/ 400 kg * m * s 2^/ 1200 kg * m * s 2^/ 31 sys

F.AB 800 N *

F.AC 400 N *

F.AD 1200 N *

Lösung als Einzelgleichungen:

F.AB F.AC F.AD Clear 1

F.AC F.AD l.AD / a * - 0 ≡

F.AC F.AD l.AD / a * - 0 ≡ F.AB F.AD l.AD / b * - 0 ≡ F.AD l.AD / h * G - 0 ≡ 31 sys F.AB F.AC F.AD 31 mat Solve Assign 800 m kg * s 2^/ * 400 m kg * s 2^/ * 1200 m kg * s 2^/ * 31 sys

ΣF.x

F.AB F.AD l.AD / b * - 0 ≡

ΣF.y

F.AD l.AD / h * G - 0 ≡

ΣF.z

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z

F.AB

B

A

F.AD

h.2

F.AE

h.1

m g.e *

C

E

m 300 kg * :

a.1

h.1 6 m * :

b.1

y

h.2 7.25 m * :

D

a.2

a.1 2 m * :

a.2 2 m * :

x

b.1 3 m * :

Richtungsvektoren und ihre Längen

r.AD a.2 b.1 - h.1 - 31 mat :

r.AE a.1 - b.1 - h.1 - 31 mat :

r.AB 0 b.1 - h.2 h.1 - 31 mat :

F.AB F.AD F.AE Clear 1

l.AD r.AD 2^sqrt : 7 m *

l.AE r.AE 2^sqrt : 7 m *

l.AB r.AB 2^sqrt : 3.25 m *

Summe aller Kräfte

ΣF F.AD r.AD l.AD / * F.AE r.AE l.AE / * + F.AB r.AB l.AB / * + 00 m g.e * - 31 mat + (:

Lösung

ΣF F.AB F.AE F.AD 31 mat Solve Assign 1318.8 m kg * s 2^/ * 1420.3 m kg * s 2^/ * - 1420.3 m kg * s 2^/ * - 31 sys

F.AB kN 1.3188

F.AE kN 1.4203 -

F.AD kN 1.4203 -

Lagerung bei C und D können Los- oder Festlager sein.

a m Clear 1

Momentengleichgewicht um die Drehachse durch C und D

Drehachse

n 10031 mat :

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 #

Gewichtskraft und Hebel

G 00 m g * - 31 mat :

r.DG a 2 / a 2 / 031 mat :

F.Dz

F.S

F.Dy

F.Cz

Seilkraft und Hebel

vF.S F.S 3 sqrt / 1 - 1 - 131 mat * Maxima : F.S 3 sqrt / - F.S 3 sqrt / - F.S 3 sqrt / 31 mat

F.Cy

F.Cx

m g *

r.CB 0 a 031 mat :

r.DG G † r.CB vF.S † + a m g * 3 sqrt * - 2 F.S * + (* 23 sqrt * / a m * g * 2 / F.S a * 3 sqrt / 31 mat

Das Objekt muss eine Matrix sein

ΣM.x n r.DG G † r.CB vF.S † + (* : a m g * 3 sqrt * - 2 F.S * + (* 23 sqrt * /

ΣM.x F.S Solve no result

a m g * 3 sqrt * - 2 F.S * + (* 23 sqrt * / F.S Solve F.S g m * 3 sqrt * 2 / ≡