Mecanica dos Materiais

O restart
O

O # eq. equilíbrio
O eq1 d Cx eq1 := Cx
O eq2 d Cy K

w$L
2
1 wL 2

(2)

3 w L2 CMc
8

(3)

eq2 := Cy K
O eq3 d

(1)

w$L 3
$ $L CMc
2
4 eq3 :=

O sol d solve

eq1 = 0, eq2 = 0, eq3 = 0 , Cy, Cx, Mc
1
3
2
sol := Cx = 0, Cy = w L, Mc = K w L
2
8

(4)

O assign sol
O # esf. transverso e momento flector x Kw dx

O Qab d
0

Qab := K x w (5)

x

O Mab d

Qab dx
0

1 w x2
2

(6)

1 wL 2

(7)

Mab := K
O Qb d subs x =

L
, Qab
2
Qb := K

x

O Qbc d Qb C

0 dx
L
2

(8)

1 wL 2

(8)

1 w L2
8

(9)

1
1
1 w L2 K w L xK
L
8
2
2

(10)

Qbc := K
O Mb d subs x =

L
, Mab
2
Mb := K

x

O Mbc d MbC

Qbc dx
L
2

Mbc := K x Mab dx CC1

O EIRab d
0

1 w x3 CC1
6

(11)

1 w x4 CC1 x CC2
24

(12)

1
1
1 2
1
w L x2 K
L C w L2 x K
L CC3
8
4
4
2

(13)

EIRab := K x EIRab dx CC2

O EIYab d
0

EIYab := K x Mbc dx CC3

O EIRbc d
L
2

EIRbc := K x EIRbc dx CC4

O EIYbc d
L
2

1
1
1 3
1 2
1
w L x3 K
L C w L2 x2 K
L CC3 x K
L CC4
16
12
8
4
2
O CF1 d subs x = L, EIYbc
5
1
4
CF1 := K wL C
C3 L CC4
192
2
O CF2 d subs x = L, EIRbc
1
3
CF2 := K w L CC3
8
EIYbc := K

L
, EIYab KEIYbc
2
1
1
4
CF3 := K wL C
C1 L CC2 KC4
384
2
L
O CF4 d subs x = , EIRab KEIRbc
2

(14)

(15)

(16)

O CF3 d subs x =

(17)

(18)

1 w L3 CC1 KC3
48
O sol d solve CF1 = 0, CF2 = 0, CF3 = 0, CF4 = 0 , C1, C2, C3, C4
7
1
41
7 sol := C1 = w L3, C2 = K w L4, C3 = w L3, C4 = K w L4
48
8
384
192
O assign sol
O EIYab
7
1
41
4
3
4
K
wx C w L xK wL 48
24
384
CF4 := K

O Yab d

Yab :=

7
1
41 w x4 C w L3 x K w L4
48
24
384
EI

(20)

(21)

EIYbc
EI

Ybc :=
K

(19)

EIYab
EI
K

O Ybc d

(18)

(22)
1
1
1
1 3
1 2
1
7 w L x3 K
L C w L2 x2 K
L C w L3 x K
L K w L4
16
8
12
8
4
2
192