2. C A L C U L O D E V IG A
60kn
I. D IA G R A M A D E C U E R P O LIB R E
B
II.C A L C U L O D E R E A C C IO N E S
w
+ M B =0
= -P (5 )+ R C (12)= 0
= -6 0 (5 )+ R C (12)= 0
= -3 0 0 + R C (12)
C
A
RC=
60kn
5 .00
w
B
7 .00
A
C
R A = 35
300
12 =25
y=o
= R A + R C -P = 0
= R A + 2 5 -60=
R A = -2 5 + 60
R A = 35
III.C A L C U L O D E M O M E N T O Y
CORTANTE
R C = 25
w
TRAMO 1
+ F y= 0
= -v + 3 5= 0
v = 35
+ M =0
= M -3 5 (x)= 0
M = 3 5 (x)
V=
M
w
A
X
R A=35
v=35
TRAMO 2
w
5 kn
P=60
x
x
V=
X
5
w
R A=35
+ F y= 0
= R A -P -V = 0
v = 3 5 -60-V
v = -25
+ M =0
= M -R A (x )+ P (x-5)= 0
= M -3 5 x + 6 0 (x-5)= 0
= M -3 5 x + 6 0 x-300
= M + 2 5 x -300
M = -2 5 x + 300
v = -25
X
M m a x .= 1 75
M = 3 5 (x)
M = 3 5 (x)
1
2
3
4
5
M = -2 5 x + 300
X
0
35
70
105
140
175
0
5
6
7
8
9
10
11
12
M = -2 5 (x )+ 300
175
150
125
100
175
75
25
0
3. C A L C U L O D E V IG A
6 0 kn
I. D IA G R A M A D E C U E R P O LIB R E
B
II.C A LC U L O D E R E A C C IO N E S
w
+ M B=0
= -P (5 )+ R C (12)= 0
= -6 0 (5 )+ R C (12)= 0
= -3 0 0 + R C (12)
C
A
RC=
6 0 kn
5 .00
w
B
7 .00
A
C
R A = 35
300
1 2 = 25
y= o
= R A + R C -P = 0
= R A + 25-60=
R A = -25+ 60
R A = 35
III.C A L C U LO D E M O M E N T O Y
C O RTANTE
R C = 25
w
TRAM O 1
+ F y= 0
= -v+ 35= 0
v= 35
+ M =0
= M -3 5 (x)= 0
M = 3 5 (x)
V=
M
w
A
X
R A = 35
v= 35
TRAM O 2
w
5 kn
P=60
x
x
V=
X
5
w
R A = 35
+ F y= 0
= R A -P -V = 0
v= 3 5 -60-V
v= -25
+ M =0
= M -R A (x)+ P (x-5)= 0
= M -3 5 x+ 6 0 (x-5)= 0
= M -3 5 x+ 60x-300
= M + 2 5 x-300
M = -2 5 x+ 300
v= -25
X
M m a x.= 175
M = 3 5 (x)
M = 3 5 (x)
1
2
3
4
5
M = -2 5 x+ 300
X
0
35
70
105
140
175
0
5
6
7
8
9
10
11
12
M = -2 5 (x)+ 300
175
150
125
100
175
75
25
0