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2 m 2 m
1,5 m
2 tf
1 tf
4
2
1 3
a
b
c
d
2 tf Fc
Fd
1 tf Fa
Fb
1 tf
2 tf
1
2
Fb
Fc
Fd
3
1
2
sen! = 1.5 / 4,27 = 0,
cos! = 4 / 4,27 = 0,
"X = Fa. x 0,94 + Fb = 0 0,94Fb + Fa = 0 "Y = Fa. x 0,35 -- 1 = 0
Fa = 2,84 Fb = -2,
"X = -Fc. x 0,94 -Fd. x 0,94 +2,84. x 0,94 = 0
"Y = Fc. x 0,35 -Fd. x 0,35 -2,84. x 0,35 - 2 = 0
Fc = 5,69 Fd = -2,
"M 3 = 0
1 x 4 + 2 x 2 – Fc x 4 x 0,35 = 0 Fc = 5,
"M 1 = 0 2 x 2 + Fd x 4 x 0,35 = 0 Fd = 2,
"M 2 = 0 1 x 2 + Fb x 0,75 = 0 Fb = - 2,
T C
a 2, b 2, c 5,
! d^ 2,
3 tf
Fd
Fe
1 tf
2 tf 2 tf
1 tf
1
2
3
4
a
b
c
d
e
f
g
h
i
6 x 2 m
3 m
4,5 tf 4,5 tf
De imediato: Fc = Fi = 0 Fb = Ff
Fa
Fb
4,5 tf
1
2 tf
!^
Fg
Fh
1 tf
sen! = 0, cos! = 0,
sen# = 0, cos# = 0,
"X = Fa. x 0,89 + Fb = 0 "Y = 4,5 - 1+ Fa. x 0,45 = 0
Fa = -7,83 Fb = 7,
"X = Fd. x 0,89 + Fe. x 0,89 +7,83. x 0,89 = 0 "Y = Fd. x 0,45 - Fe. x 0,45 +7,83. x 0,45 - 2 = 0
Fd = - 5, Fe = - 2,
"X = Fh + Fg. x 0,55 + 2,24 x 0,89 - 7,0 = 0 "Y = - 2,24. x 0,45 + Fg. x 0,83 = 0
Fg = 1, Fh = 4,
1 tf
2 tf 2 tf
1 tf
1
2
5
6
a
b
c
d
e
f
i
j
k
6 x 2 m
3 m
6,5 tf 6,5 tf
3 tf
2 tf 2 tf
h
3
4
Fa
Fb
6,5 tf
1
1 tf
2 tf
Fc
Fd
! !
2
g
sen! = 1 / 2,236 = 0, cos! = 2 / 2,236 = 0,
sen# = 0, sen# = 0,
sen$ = 3 / 3,605 = 0, cos$ = 2 / 3,605 = 0,
Fk =
"X = Fb + Fa x cos! = 0 "Y = 6,5 –1 + Fa x sen! = 0
Fa = 12,3 tf Fb = - 11,0 tf
"X = 12,3 x cos! + Fd x cos! = 0 "Y = 12,3 x sen! + Fd x sen! - 2 – Fc = 0
Fc = - 2 tf Fd = - 12,3 tf
4
2 tf
Fg
Fh
Fi
Fj
5
Fe
Ff
2 tf
"X = Ff – 11 + Fe x cos# + Ff = 0 "Y = -2 + Fe x sen# = 0
Fe = 2,83 tf Ff = 9,0 tf
"X = Fg x cos! + 12,3 x cos! - 2,83 x cos# = 0 "Y = Fg x sen! + 12,3 x sen! - 2,83 x sen# - 2 - Fh = 0
Fg = - 3,0 tf Fh = - 10,1 tf
"X = Fj – 9 + Fi x cos$ = 0 "Y = - 10,1 + Fi x sen$ = 0
Fj = 7,0 tf Fh = 3,61 tf
6,5 tf
1 tf
2 tf
1
2
3
Fd
Fc
Fb
6,5 tf
1 tf
2 tf
1
2
3
4 Fd
Fe
Ff
"M 3 = 0
5,5 x 2 + Fd x 2 x 0,447 = 0 Fd = - 12,
"M 1 = 0 2 x 2 – Fe x 2 x 0,707 = 0 Fe = 2,
"M 1 = 0
2 x 2 + Fc x 2 = 0 Fc = - 2
"M 2 = 0 5,5 x 2 – Fb x 1 = 0 Fb = 11,
Barra T C
a 12, b 11, c 2, d 12, e 2, f 9, g 3, h 10, i 3, j 7, k --- ---
8 x 2 m
2 m
1 tf (^) 2 tf 2 tf 1 tf
a
b
c
d
e
f
g
h
1
2
3
4
5
3 tf 3 tf
1
3 tf
Fa
Fb
1 tf
Fd
Fc
2
Fe
(^3) Ff
"X = Fa x 0,707 + Fb = 0 "Y = 3 + Fa x 0,707 =
Fa = - 4, Fb = 3,
"X = Fd + Fc x 0,707 + 4,24 x 0,707 = 0 "Y = 4,24 x 0,707 – Fc x 0,707 – 1 = 0
Fc = 2, Fd = - 5,
"X = Fe x 0,707 + Ff – 3 – 2,83 x 0,707 = 0 "Y = Fe x 0,707 + 2,83 x 0,707 = 0
Fe = - 2, 3,0 Ff = 7,
3 tf
1 tf
1
2
3
Fd
Fc
Fb
3 tf
1 tf
1
2
3
4
Fd
Fe
Ff
"Y = 3 – 1 + Fe x 0,707 = 0 Fe = - 2,
"M 3 = 3 x 4 – 1 x 2 + Fd x 2 = 0 Fd = -
"Y = 3 – 1 – Fc x 0,707 = 0 Fc = 2,
"M 2 = 3 x 2 – Fb x 2 = 0 Fb = 3,
3 tf
1 tf 2 tf
1
2
3
4
5
Fh
Fg
Ff
"Y = 3 – 1 – 2 – Fg x 0,707 = 0 Fg = 0
"M 4 = 3 x 6 – 1 x 4 – Ff x 2 = 0 Ff = 7,
"M 5 = 3 x 8 – 1 x 6 – 2 x 2 + 2 x Fh = 0 Fh = - 7,
2 m
6 x 2 m
1 tf 2 tf 2 tf 2 tf 2 tf 2 tf 1 tf
a
b
c
d
e
f
g
h
i
j
k
l
m
1
2
3
4
5
6
7
8
6 tf 6 tf
6 tf
Fa Fb 1
2
6 tf
1 tf
Fd
Fc
"Y = 6,0 + Fa = 0 Fa = - 6,
"X = Fb = 0
"X = Fd + 0,707 x Fc = 0 "Y = 6,0 – 1,0 – 0,707 x Fc = 0
Fc = 7, Fd = - 5,
Fe
Fh 3
"X = Fh – 7,07 x 0,707 = 0 Fh = 5,
"Y = Fe + 5 x 0,707 = 0 Fe = - 5,
1 tf (^) 2 tf
6 tf
1
2
3
4
5
6
Fk
Fl
1 tf (^) 2 tf
6 tf
1
2
3
4
5
Ff^6
Fi
Fl
2 tf Fj
7
"Y = 6 – 5 – Fk x 0,707 = 0 Fk = 1,
"M 7 = 6 x 6 – 1 x 6 – 2 x 4 – 2 x 2 + Fi x 2 = 0 Fj = - 9,0 tf
"M 6 =
6 x 4– 1 x 4 – 2 x 2 – Fl x 2 = 0 Fl = 8,0 tf
"Y = 6 – 3 – Fi = 0 Fi = - 3,0 tf
"M 5 =
6 x 4 – 1 x 4 – 2 x 2 + Ff x 2 = 0 Fi = - 8,0 tf
1 tf
6 tf
1
2
3
Fd
Fc
Fb
1 tf (^) 2 tf
6 tf
1
2
3
4 Ff
Fg
Fh 5
1 tf
6 tf
1
2
3
Fd 4
Fe
Fh
"Y = 6 – 3 – Fg x 0,707 = 0 Fg = 4,24 tf
"M 4 = 6 x 2 – 1 x 2 – Fh x 2 = 0 Fh = 5,0 tf
"Y = 6 – 1 + Fe = 0 Fe = - 5 tf
"M 3 = 6 x 2 – 1 x 2 + Fd x 2 = 0 Fh = - 5,0 tf
"Y = 6 – 1 - Fc x 0,707 = 0 Fc = 7,07 tf
"M 2 = Fb = 0,0 tf
