Α =

30.96375653

30.9638

Β =

33.69006753

33.6901

Γ =

41.98721261

41.9872

Sin

Α =

0.5144957554

0.514496

Cos

Α =

0.8574929257

0.857493

Cos

Β =

0.8320502943

0.83205

Sin

Β =

0.5547001963

0.5547

Sin

Γ =

0.6689647331

0.668965

Cos

Γ =

0.7432941449

0.743294

p

=

15

15

â

x

=

0

Solve

@

p

-

p Cos

Α -

hb

Š

0, hb

D

88

hb

®

2.13761

<<

hb

=

2.1376061145000005‘

kN

2.13761 kN

â

MA

=

0

Solve

@-

p

H

4

+

3.6

L -

p 8

+

vb 8

+

15 Cos

Α

10

-

p Sin

Α

4

Š

0, vb

D

88

vb

®

17.0307

<<

vb

=

17.030725808625‘

kN

17.0307 kN

â

MB

=

0

Solve

@-

va 8

-

p

H

4

+

3.6

L +

p Cos

Α

10

+

p Sin

Α

4

Š

0, va

D

88

va

®

5.68671

<<

2

praca projektowa nr I.nb

va

=

5.686710522375002‘

kN

5.68671 kN

Spr :

â

y

=

0

Solve

@

va

+

vb

-

p

-

p Sin

Α Š

0, 0

D

Solve

@

True, 0

D

--------------------------------------------------------------------------------------

--

R wnania wŒz‡ w

W

-

B

-- --

â

x

=

0

Solve

@-

hb

-

s1b Cos

Β Š

0, s1b

D

88

s1b

® -

2.56908

<<

s1b

= -

2.569082817641881‘

kN

-

2.56908 kN

â

y

=

0

Solve

@-

s7b

+

vb

-

s1b Sin

Β Š

0, s7b

D

88

s7b

®

18.4558

<<

praca projektowa nr I.nb

3

s7b

=

18.45579655188191‘ kN

18.4558 kN

W

-

1

-- --

â

y

=

0

Solve

@

s1b Sin

Β -

s61 Sin

Α Š

0, s61

D

88

s61

® -

2.76984

<<

s61

= -

2.769839650375682‘ kN

-

2.76984 kN

â

x

=

0

Solve

@

s61 Cos

Α +

s71

+

s1b Cos

Β Š

0, s71

D

88

s71

®

4.51272

<<

s71

=

4.512724020020509‘

kN

4.51272 kN

W

-

A

-- --

â

y

=

0

Solve

@

va

-

s2a

Š

0, s2a

D

88

s2a

®

5.68671

<<

s2a

=

5.686710522375002‘

kN

5.68671 kN

W

-

2

----

â

y

=

0

4

praca projektowa nr I.nb

Solve

@

s2a

-

s23

Š

0, s23

D

88

s23

®

5.68671

<<

s23

=

5.686710522375002‘ kN

5.68671 kN

W

-

3

-- --

â

x

=

0

Solve

@

p

-

s35 Cos

Γ -

s34 Cos

Α Š

0, s35

D

::

s35

®

p

-

Cos

Α

s34

Cos

Γ

>>

s35

®

podstawiamy do r wnania

â

y

=

0

s35

=

p

-

Cos

Α

s34

Cos

Γ

â

y

=

0

Solve

B

s23

+

p

-

Cos

Α

s34

Cos

Γ

*

Sin

Γ -

s34

*

Sin

Α Š

0, s34

F

88

s34

®

14.9169

<<

s34

=

14.916904816837222‘

kN

14.9169 kN

powracamy do r wnania na

â

x

=

0

Solve

@

p

-

s35 Cos

Γ -

s34 Cos

Α Š

0, s35

D

88

s35

®

2.97172

<<

s35

=

2.971716730688089‘

kN

2.97172 kN

W

-

4

-----

â

x

=

0

praca projektowa nr I.nb

5

Solve

@

s34

*

Cos

Α -

p

*

Cos

Α -

s46

*

Cos

Α Š

0, s46

D

88

s46

® -

0.0830952

<<

s46

= -

0.08309518316277596‘

kN

-

0.0830952 kN

â

Y

=

0

Solve

@

s45

+

s34 Sin

Α -

p Sin

Α +

s46 Sin

Α Š

0, s45

D

88

s45

®

0.0855042

<<

s45

=

0.08550423806286744‘

kN

0.0855042 kN

W

-

5

-- --

â

Y

=

0

Solve

@-

s45

-

s35 Sin

Γ -

s65 Sin

Γ Š

0, s65

D

88

s65

® -

3.09953

<<

s65

= -

3.099532494109037‘

kN

-

3.09953 kN

â

x

=

0

Solve

@

s35 Cos

Γ -

s65 Cos

Γ -

s57

Š

0, s57

D

88

s57

®

4.51272

<<

s57

=

4.512724001020368‘

kN

4.51272 kN

W

-

6

-- --

â

x

=

0

Solve

@-

s46 Cos

Α -

s65 Cos

Γ +

s61 Cos

Α Š

0, s61

D

Solve

@

True,

-

2.76984

D

6

praca projektowa nr I.nb

s61

= -

2.769839650375682‘

kN

-

2.76984 kN

â

y

=

0

Solve

@-

p

+

s67

-

s46 Sin

Α +

s65 Sin

Γ +

s61 Sin

Α Š

0, s67

D

88

s67

®

18.4558

<<

s67

=

18.455796551881903‘

kN

18.4558 kN

W

-

7

WŒze‡ sprawdzaj„cy

-- --

â

x

=

0

Solve

@

s57

-

s71

Š

0, s71

D

Solve

@

True, 4.51272

D

s57

=

s71

L

=

P

â

y

=

0

Solve

@

s7b

-

s67

Š

0, s7b

D

Solve

@

True, 18.4558

D

s67

=

s7b

L

=

P

praca projektowa nr I.nb

7