z

y

x

G

R

Ay

A

R

Az

R

By

R

Bz

B

a

b

S'

c

S

|S|=|S'|=|P|

P

R

Dx

R

Dy

R

Dz

60

o

C

Dane:

a=20 [cm]
b=60 [cm]
c=40 [cm]
G=1 [kN]

D

E

G

II

I

I

{

∑

F

iy

=0 ⇒R

By

R

Ay

−S=0

∑

F

iz

=0 ⇒R

Az

R

Bz

−G=0

∑

M

ix

=0 ⇒−

G⋅AG

2

⋅sin30

o

AG⋅sin30

o

=0

∑

M

iy

=0 ⇒

G⋅AG

2

−R

Bz

⋅b=0

∑

M

iz

=0 ⇒R

By

⋅b−S⋅c=0

}

I.4 )

G⋅AE

2

−R

Bz

⋅b=0 ⇒R

Bz

=

G⋅AE

2 ⋅b

=

0,8

2 ⋅0,6

=

2
3

[kN]

II

{

∑

F

ix

=0 ⇒R

Dx

=0

∑

F

iy

=0 ⇒R

Dy

−S=0

∑

F

iz

=0 ⇒R

Dz

−P=0

}

I.2 )R

Az

−R

Bz

−G=0 ⇒R

Az

=−R

Bz

G=−

2

3

1=

1
3

[kN]

I.3 )−G⋅

AG

4

S

AG

2

=0 ⇒S=

G

2

=

1
2

[kN]

S=S'=P⇒P=

1
2

[kN]

II.2 )R

Dy

−S=0 ⇒R

Dy

=S=

1
2

[kN]

I.5 )R

By

⋅b−S⋅c=0 ⇒R

By

=

S⋅c

b

=

1
3

[kN]

I.1 )R

By

R

Ay

−S=0 ⇒R

Ay

=S−R

By

=

1
3

[kN]

II.2 )R

Dy

−S=0 ⇒R

Dy

=S=

1
2

[kN]

II.3 )R

Dz

−P=0 ⇒R

Dz

=P=

1
2

[kN]