background image

1,5

1,5

3,0

2,0

2,0

1,0

3,0

P = 1

C

D

E

F

A

B

R

D

R

M

A

A

R

E

lw M

A

1

3

lw R

D

1

lw R

E

A

lw R

1

lw T

lw M

lw T

0,67

1

2

1,67

1

1,5

0,67

-0,67

0,33

-1

lw M

-2

0,67

-0,67

background image

3,0

x

A

B

R

M

A

A

P = 1

3,0

3,0

x

P = 1

C

A

B

R

M

A

A

3,0

2,0

3,0

3,0

x

P = 1

C

D

E

F

B

R

D

R

E

lw M

A

  lw R

A

3

;

0

;

x

B

A

P

x

M

M

A

A

=

=

0

1

0

=

=

A

R

Y

x = 0 

=> 

M

A

 = 0

x = 3

=>

M

A

 = 3

3

;

0

;

x

C

B

P

3

1

0

)

3

(

3

0

x

R

x

P

R

M

B

B

C

=

=

=

x

M

R

M

M

A

B

A

A

=

=

=

3

3

0

3

1

0

x

R

R

R

Y

A

B

A

=

=

=

x = 0 

=> 

M

A

 = 3

x = 0 

=>  R

A

 = 1

x = 3

=>

M

A

 = 0

x = 3

=> R

A

 = 0

lw R

D

  lw R

E

3

;

0

;

x

C

B

P

3

0

3

0

x

R

R

Px

M

C

C

B

=

=

=

x

R

R

R

M

D

D

C

E

9

5

0

3

5

0

=

=

+

=

x

R

R

R

M

E

C

E

D

9

2

0

2

3

0

=

=

=

x = 0 

=> 

R

D

 = 0

x = 0 

=>  R

E

 = 0

x = 3

=>

R

D

 = 1,67

x = 3

=> R

E

 = -0,67

background image

8

;

0

;

x

F

C

P

3

3

5

0

)

5

(

3

0

x

R

x

P

R

M

D

D

E

=

=

=

3

2

3

0

)

2

(

3

0

=

=

+

=

x

R

x

P

R

M

E

E

D

x = 0 

=> 

R

D

 = 1,67

x = 0 

=>  R

E

 = -0,67

x = 8

=>

R

D

 = -1

x = 8

=> R

E

 = 2

2,0

3,0

3,0

x

C

D

E

F

R

D

R

E

P = 1

lw T

α

 lw M

α

5

,

1

;

0

;

x

B

P

α

Px

M

M

=

=

α

α

0

P

T

Y

=

=

α

0

x = 0 

=> 

Mα = 0

x = 0 

=>  Tα = 1

x = 1,5 =>

Mα = -1,5

x = 1,5 => Tα = 1

3

;

0

;

x

C

B

P

3

1

x

R

B

=

2

3

2

5

,

1

0

=

=

=

x

M

R

M

M

B

α

α

α

3

1

0

x

T

R

T

Y

B

=

=

=

α

α

x = 0 

=> 

Mα = -1,5

x = 0 

=>  Tα = 1

x = 3

=>

Mα = 0

x = 3

=> Tα = 0

x

1,5

1,5

A

R

M

A

A

B

P = 1

M

T

1,5

x

1,5

3,0

A

R

M

A

A

B

M

P = 1

C

T

background image

lw T

β

 lw M

β

3

;

0

;

x

C

B

P

3

0

3

0

x

R

R

Px

M

C

C

B

=

=

=

x

M

R

R

M

M

D

C

9

2

2

4

0

=

+

=

=

β

β

β

x

T

R

R

T

Y

C

D

9

2

0

=

=

=

β

β

x = 0 

=> 

M

β

 = 0

x = 0 

=>  T

β

 = 0

x = 3

=>

M

β

 = -0,67

x = 3

=> T

β

 = 0,67

4

;

0

;

x

C

P

β

3

2

3

)

4

(

2

0

=

=

=

x

M

x

P

R

M

M

D

β

β

β

3

3

2

0

x

T

P

R

T

Y

D

=

=

=

β

β

x = 0 

=> 

M

β

 = -0,67

x = 0 

=>  T

β

 = 0,67

x = 4

=>

M

β

 = 0,67

x = 4

=> T

β

 = -0,67

x

3,0

2,0

2,0

1,0

3,0

P = 1

C

D

B

R

D

E

F

M

T

R

E

1,0

3,0

2,0

2,0

x

C

D

R

D

E

F

M

T

R

E

P = 1

8

;

4

;

x

F

P

β

x

M

R

x

P

M

M

E

3

2

3

10

0

)

4

(

0

=

=

+

=

β

β

β

3

3

5

0

0

x

T

P

R

T

Y

E

=

=

+

=

β

β

x = 4 

=> 

M

β

 = 0,67

x = 4 

=>  T

β

 = 0,33

x = 8

=>

M

β

 = -2

x = 8

=> T

β

 = -1

1,0

3,0

2,0

2,0

x

P = 1

C

D

R

D

E

F

M

T

R

E

background image

1,5

2,0

2,0

1,0

2,0

3,0

2,0

2,0

C

C

R`

R

D

H

F

R

A

R

B

H

G

R

R

R`

G

lw H

0,91

-0,95

-0,6

A

lw R

lw R

B

lw R`

C

1

0,67

lw R

F

lw R

1,2

1

1

2,33

-0,2

-1,3

1

1

D

lw R

0,1

1

-0,67

lw N

lw T

lw M

1,67

-1,74

-0,69

2,11

-0,24

P=1

y

x

background image

C

C

R`

C

R`

R

H

2,0

x

4,0

3,0

C

R`

D

R

P=1

5

;

2

x

3

2

3

'

0

'

3

)

2

(

0

=

=

=

x

R

R

x

P

M

C

C

D

3

3

5

0

3

)

5

(

0

x

R

R

x

P

M

D

D

C

=

=

+

=

x

3,0

R

P=1

R'

C

F

4

;

0

;

x

G

F

P

4

0

4

0

x

R

R

Px

M

G

G

F

=

=

=

4

1

0

)

4

(

4

0

x

R

x

P

R

M

F

F

G

=

=

=

x

4,0

P=1

R

F

R

G

3

;

0

;

x

F

C

P

3

0

3

0

x

R

R

Px

M

F

F

C

=

=

=

3

1

'

0

)

3

(

'

3

0

x

R

x

P

R

M

C

C

F

=

=

=

background image

2,0

3,0

0,96

0,54

1,5

2,0

3,0

C

x

y

D

R

H

R

C

R`

H

R

A

H

C

R

R

F

H

R

B

0

3

5

,

1

5

0

=

=

D

A

L

C

R

H

R

M

0

5

,

1

5

'

5

2

0

=

+

=

H

R

R

R

M

C

C

D

L

A

0

3

5

,

1

5

0

=

=

F

B

P

C

R

H

R

M

0

2

5

5

,

1

0

=

=

F

C

P

B

R

R

H

M

F

B

D

A

F

D

C

R

H

R

R

H

R

R

R

R

H

10

6

10

3

10

6

10

3

3

2

3

2

'

5

2

+

=

+

=

+

+

=

2,0

1,0

0,96

0,3

1,26

x

y

M

D

R

H

R

A

R

D1

R

R

A1

R

A2

H

D2

T

2

H

N

1

D

A

D

A

R

R

H

N

N

R

R

H

X

233

,

0

233

,

0

972

,

0

0

sin

sin

cos

0

'

+

=

=

+

+

=

α

α

α

D

A

D

A

R

R

H

T

T

R

R

H

Y

972

,

0

972

,

0

233

,

0

0

cos

cos

sin

0

'

+

=

=

+

=

α

α

α

D

A

D

A

R

H

R

M

M

R

H

R

M

=

=

=

26

,

1

3

0

26

,

1

3

0

α

α

α

background image

1,5

1,5

1,5

1,5

1,5

1,5

1,0

R

A

R

B

A

P=1

1

B

4

5

A

lw R

lw R

B

100 100

[kN]

2

3

lw M

1

6
4

4

-3

4

3

1

3

4

1

4

3
4

2

4

4

4

2

1

4

1

4

2

4

4

4

4

5

6

9
8

8

8

6

3

8

3

8

6

lw M

3

4

3

2

-1,5

9

6

lw M

4

8

3

-1,5

8

lw M

B

8

lw M

4

6

3

9
8

8

18

-125

-250

-375

-500

-200

200

250

200

[kNm]

125

8

6

100

8

4

100

200

8

7

100

8

9

100

min

1

max

1

=

 −

+

 −

=

=

+

=

M

M

250

4

4

100

4

6

100

250

4

4

100

4

6

100

min

2

max

2

=

 −

+

 −

=

=

+

=

M

M

375

8

18

100

8

12

100

200

8

9

100

8

7

100

min

3

max

3

=

−

+

−

=

=

+

=

M

M

( )

( )

500

3

100

2

100

0

min

max

=

+

=

=

B

B

M

M

(

)

(

)

200

5

,

1

100

5

,

0

100

0

min

4

max

4

=

+

=

=

M

M