x "< 0,22 >
1) x "< 0,3 >
DE
M : V (x) = 0
"
E D
BD
M : V (x) = 0
"
C B
AB
M : M (x) +1�" x = 0
"
A A
M (x) = -x
A
AB
Y : R (x) -1 = 0
"
A
R (x) = 1 (const.)
A
BD
M : R (x) = 0
"
B C
DE
M : R (x) = 0
"
D E
 2) x "< 3,15 >
DE
M : V (x) = 0
"
E D
BD
M : 8 �" V (x) -1(11- x) = 0
"
C B
11 x
V (x) = -
B
8 8
11 x
AB
Y : R (x) = V (x) = -
"
A B
8 8
11 x
AB
M : M (x) = -V (x)�"3 = -3( - )
"
A A B
8 8
BD
M : 8R (x) -1(x - 3) = 0
"
B C
x 3
R (x) = -
C
8 8
DE
M : R (x) = 0
"
D E
3) x "<15,22 >
DE
M : 6V (x) -1(21- x) = 0
"
E D
21 x
V (x) = -
D
6 6
DE
M : 6R (x) -1(x -15) = 0
"
D E
x 15
R (x) = -
E
6 6
BD
M : 8R (x) - V = 0
"
B C B
12 21 x
R (x) = ( - )
C
8 6 6
BD
M : 4V (x) + 8V (x) = 0
"
C D B
1 21 x
V (x) = - ( - )
B
2 6 6
1 21 x
AB
Y : R (x) = - ( - )
"
A
2 6 6
AB
M : M (x) + 3R = 0
"
A A A
3 21 x
M (x) = ( - )
A
2 6 6
LINIE WPA
YWU REAKCJI
SIA
Y W PRZEKROJU �- �
1) x "< 0,3 > V (x) = 0
B
1a) x "< 0,2 > 1b) x "< 2,3 >
AB( P) P AB( P) P
Y :T (x) = 0 Y :T (x) = 1 const.
" "
B B
( P) P ( P) P
M : M (x) = 0 M : M (x) = -1(x - 2)
" "
B B B B
2) x "< 3,15 > V (x) = 0
D
AB( L ) L
Y :T (x) = R (x)
"
B A
( L )
M (x) = 2R (x) + M (x)
B A A
3) x "<15,22 >
L
T (x) = R (x)
B A
( L )
M (x) = 2R (x) + M (x)
B A A
SIA
Y W PRZEKROJU ą- ą
1) x "< 0,3 > V (x) = V (x) = 0
B D
BD( L)
Y : T (x) = 0
"
L
BD( P)
M : M (x) = 0
"
L
2) x "< 3,15 > V (x) = 0
D
11 x
x 3
2b) x "< 6,15 > V (x) = -
2a) x "< 3,6 > R (x) = -
B
C
8 8
8 8
BD( L) L
Y : T (x) = V (x)
"
L B
BD( P) P
Y :T (x) = -R (x)
" BD( L ) L
L C
M : M (x) = 3V (x)
"
L B
BD( P) P
M : M (x) = 5R (x)
"
L C
1 21 x
3) x "< 15,22 > V (x) = 0 V (x) = - ( - )
D B
2 6 6
BD( L) L
Y : T (x) = V (x)
"
L B
BD( L ) L
M : M (x) = 3V (x)
"
L B
LINIE WPA
YWU SIA
PRZEKROJOWYCH