příklady1

6.7045 M3
{r23}= {R23}= {R*23}= {R*23}=
0.00000E+00
0.00000E+00
0.00000E+00
{r12}= {R12}= {R*12}= {R*12}=
0.00000E+00
0.00000E+00
0.00000E+00
[K-1]= {r}=
1.58848E-04
0.00000E+00
2.22298E-04
[K]=
[K]= {S}= {R}= {F}=
Prut 1 2 b= 0.2 m E= kPa
1 vv h= 0.3m
. = K-1
L= 5m A= m2
 = 0 o I= m4
1 1 1 0 1 0 spoj tepl os.sil
324000 0 0 -324000 0 0 1 0 0 0 0 X*1 0 X1
0 1166.4 -2916 0 -1166.4 -2916 1 -20 0 0 -20 Z*1 -20 Z1
0 -2916 9720 0 2916 4860 1 16.6667 0 0 16.6667 M*1 16.6667 M1
-324000 0 0 324000 0 0 0 0 0 0 0 X*2 0 X2
0 -1166.4 2916 0 1166.4 2916 1 -20 0 0 -20 Z*2 -20 Z2
0 -2916 4860 0 2916 9720 0 -16.667 0 0 -16.667 M*2 -16.667 M2
0 kN
g= 8 kN/m
Ă» th= 0 oC 0 kNm
0 kN
1 2 1 2 1 2
0m 5 m
n= 0 kN/m
Ă» td= 0 oC
Prut 23 b= 0.2m E= kPa
2 vk h= 0.3m
. = K-1
L= 4m A= m2
 = 0 o I= m4
0 1 0 0 1 1 spoj tepl os.sil
405000 0 0 -405000 0 0 0 0 -145.8 0 -145.8 X*2 -145.8 X2
0 569.531 -2278.1 0 -569.53 0 1 0 -0.9113 -10.547 -11.458 Z*2 -11.458 Z2
0 -2278.1 9112.5 0 2278.13 0 0 0 3.645 12.1875 15.8325 M*2 15.8325 M2
-405000 0 0 405000 0 0 0 0 145.8 0 145.8 X*3 145.8 X3
0 -569.53 2278.13 0 569.531 0 1 0 0.91125 10.5469 11.4581 Z*3 11.4581 Z3
0 0 0 0 0 0 1 0 0 0 0 M*3 0 M3
0 kN
g= 0 kN/m
Ă» th= -10 oC 30 kNm
0 kN
2 3 2 3 2 3
3m 1 m
n= 0 kN/m
Ă» td= -5 oC
= {R23}=
6.00E-02
4.50E-04
[K23]= {R*23}= + +
+ + = {R12}=
2.70E+07
1.20E-05
2.70E+07
1.20E-05
6.00E-02
4.50E-04
[K12]= {R*12}=
1 1 1 0 1 0 0 1 1 podpory
u1 w1
3 1 u2 w2
3 2 u3 w3
3 3
324000 0 0 -324000 0 0 0 0 0 u1 1
0 1166.4 -2916 0 -1166.4 -2916 0 0 0 w1 1
0 -2916 9720 0 2916 4860 0 0 0
3 1 1
-324000 0 0 729000 0 0 -405000 0 0 u2 0
0 -1166.4 2916 0 1735.93 637.875 0 -569.53 0 w2 1
0 -2916 4860 0 637.875 18832.5 0 2278.13 
3 2 0
0 0 0 -405000 0 0 405000 0 0 u3 0
0 0 0 0 -569.53 2278.13 0 569.531 0 w3 1
0 0 0 0 0 0 0 0 0
3 3 1
u1 w1
3 1 u2 w2
3 2 u3 w3
3 3
1 0 0 0 0 0 0 0 0 u1 0 X1 0 X1 0 X1
0 1 0 0 0 0 0 0 0 w1 0 Z1 0 Z1 0 Z1
0 0 1 0 0 0 0 0 0
3 1 0 M1 0 M1 0 M1
0 0 0 729000 0 0 -405000 0 0 u2 0 X2 -145.8 X2 145.8 X2
0 0 0 0 1 0 0 0 0 w2 30 Z2 0 Z2 0 Z2
0 0 0 0 0 18832.5 0 0 0
3 2 -20 M2 -0.8342 M2 -19.166 M2
0 0 0 -405000 0 0 405000 0 0 u3 0 X3 145.8 X3 -145.8 X3
0 0 0 0 0 0 0 1 0 w3 0 Z3 0 Z3 0 Z3
0 0 0 0 0 0 0 0 1
3 3 0 M3 0 M3 0 M3
u1 w1
3 1 u2 w2
3 2 u3 w3
3 3
1 0 0 0 0 0 0 0 0 u1 0 u1
0 1 0 0 0 0 0 0 0 w1 0 w1
0 0 1 0 0 0 0 0 
3 1 0
3 1
0 0 0 3.1E-06 0 0 3.1E-06 0 0 u2 0 u2
0 0 0 0 1 0 0 0 0 w2 0 w2
0 0 0 0 0 5.3E-05 0 0 0
3 2 -0.001
3 2
0 0 0 3.1E-06 0 0 5.6E-06 0 0 u3 -0.0004 u3
0 0 0 0 0 0 0 1 0 w3 0 w3
0 0 0 0 0 0 0 0 1
3 3 0
3 3
0 0 0 0 X1
0 2.96761 2.96761 -17.032 Z1
0 -4.946 -4.946 11.7206 M1
0 0 0 0 X2
0 -2.9676 -2.9676 -22.968 Z2
-0.001 -9.892 -9.892 -26.559 M2
0 145.8 145.8 0 X2
0 2.31845 2.31845 -9.1397 Z2
-0.001 -9.2738 -9.2738 6.55871 M2
-0.0004 -145.8 -145.8 0 X3
0 -2.3184 -2.3184 9.13968 Z3
0 0 0 0 M3
{r23}= {R23}= {R*23}= {R*23}=
-3.60000E-04
0.00000E+00
0.00000E+00
{r12}= {R12}= {R*12}= {R*12}=
0.00000E+00
0.00000E+00
0.00000E+00
[K-1]= {r}=
0.00000E+00
0.00000E+00
-1.01770E-03
[K]=
[K]= {S}= {R}= {F}=
Prut 12 b= 0.2m E= kPa
1 vk h= 0.3m
. = K-1
L= 5m A= m2
 = 0 o I= m4
1 1 1 0 0 1 spoj tepl os.sil
324000 0 0 -324000 0 0 1 0 0 0 0 X*1 0 X1
0 291.6 -1458 0 -291.6 0 1 -25 0 0 -25 Z*1 -25 Z1
0 -1458 7290 0 1458 0 1 25 0 0 25 M*1 25 M1
-324000 0 0 324000 0 0 0 0 0 0 0 X*2 0 X2
0 -291.6 1458 0 291.6 0 0 -15 0 0 -15 Z*2 -15 Z2
0 0 0 0 0 0 1 0 0 0 0 M*2 0 M2
0 kN
g= 8 kN/m
Ă» th= 0 oC 0 kNm
0 kN
1 2 1 2 1 2
0m 5 m
n= 0 kN/m
Ă» td= 0 oC
Prut 23 b= 0.2m E= kPa
2 kk h= 0.3m
. = K-1
L= 4m A= m2
 = 0 o I= m4
0 0 1 1 1 1 spoj tepl os.sil
405000 0 0 -405000 0 0 0 0 -145.8 0 -145.8 X*2 -145.8 X2
0 0 0 0 0 0 0 0 0 -7.5 -7.5 Z*2 -7.5 Z2
0 0 0 0 0 0 1 0 0 0 0 M*2 0 M2
-405000 0 0 405000 0 0 1 0 145.8 0 145.8 X*3 145.8 X3
0 0 0 0 0 0 1 0 0 7.5 7.5 Z*3 7.5 Z3
0 0 0 0 0 0 1 0 0 0 0 M*3 0 M3
0 kN
g= 0 kN/m
Ă» th= -10 oC 30 kNm
0 kN
2 3 2 3 2 3
3m 1 m
n= 0 kN/m
Ă» td= -5 oC
= {R23}=
6.00E-02
4.50E-04
[K23]= {R*23}= + +
+ + = {R12}=
2.70E+07
1.20E-05
2.70E+07
1.20E-05
6.00E-02
4.50E-04
[K12]= {R*12}=
1 1 1 0 0 1 1 1 1 podpory
u1 w1
3 1 u2 w2
3 2 u3 w3
3 3
324000 0 0 -324000 0 0 0 0 0 u1 1
0 291.6 -1458 0 -291.6 0 0 0 0 w1 1
0 -1458 7290 0 1458 0 0 0 
3 1 1
-324000 0 0 729000 0 0 -405000 0 0 u2 0
0 -291.6 1458 0 291.6 0 0 0 0 w2 0
0 0 0 0 0 0 0 0 0
3 2 1
0 0 0 -405000 0 0 405000 0 0 u3 1
0 0 0 0 0 0 0 0 0 w3 1
0 0 0 0 0 0 0 0 0
3 3 1
u1 w1
3 1 u2 w2
3 2 u3 w3
3 3
1 0 0 0 0 0 0 0 0 u1 0 X1 0 X1 0 X1
0 1 0 0 0 0 0 0 0 w1 0 Z1 0 Z1 0 Z1
0 0 1 0 0 0 0 0 
3 1 0 M1 0 M1 0 M1
0 0 0 729000 0 0 0 0 0 u2 0 X2 -145.8 X2 145.8 X2
0 0 0 0 291.6 0 0 0 0 w2 20 Z2 -22.5 Z2 42.5 Z2
0 0 0 0 0 1 0 0 0
3 2 0 M2 0 M2 0 M2
0 0 0 0 0 0 1 0 0 u3 0 X3 0 X3 0 X3
0 0 0 0 0 0 0 1 0 w3 0 Z3 0 Z3 0 Z3
0 0 0 0 0 0 0 0 1
3 3 0 M3 0 M3 0 M3
u1 w1
3 1 u2 w2
3 2 u3 w3
3 3
1 0 0 0 0 0 0 0 0 u1 0 u1
0 1 0 0 0 0 0 0 0 w1 0 w1
0 0 1 0 0 0 0 0 
3 1 0
3 1
0 0 0 1.4E-06 0 0 0 0 0 u2 0.0002 u2
0 0 0 0 0.00343 0 0 0 0 w2 0.14575 w2
0 0 0 0 0 1 0 0 0
3 2 0
3 2
0 0 0 0 0 0 1 0 0 u3 0 u3
0 0 0 0 0 0 0 1 0 w3 0 w3
0 0 0 0 0 0 0 0 1
3 3 0
3 3
0 -64.8 -64.8 -64.8 X1
0 -42.5 -42.5 -67.5 Z1
0 212.5 212.5 237.5 M1
0.0002 64.8 64.8 64.8 X2
0.14575 42.5 42.5 27.5 Z2
0 0 0 0 M2
0.0002 81 81 -64.8 X2
0.14575 0 0 -7.5 Z2
0 0 0 0 M2
0 -81 -81 64.8 X3
0 0 0 7.5 Z3
0 0 0 0 M3
{r23}= {R23}= {R*23}= {R*23}=
0.00000E+00
0.00000E+00
0.00000E+00
{r12}= {R12}= {R*12}= {R*12}=