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ESFUERZOS CORTANTES Q
Q (0 - 5.0)

Q (5.0 - 7.0)

Q (7.0 - 12.0)

350.00

-250.00

-250.00

MOMENTOS FLECTORES
MOMENTO

X

P=600.00

TOTAL

a=5.00
0.00

0.00

0.00

1.20

420.00

420.00

2.40

840.00

840.00

3.60

1,260.00

1,260.00

4.80

1,680.00

1,680.00

5.00

1,750.00

1,750.00

6.00

1,500.00

1,500.00

7.20

1,200.00

1,200.00

8.40

900.00

900.00

9.60

600.00

600.00

10.80

300.00

300.00

12.00

0.00

0.00
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
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
Esfuerzos cortantes q
Esfuerzos cortantes q
Esfuerzos cortantes q

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Esfuerzos cortantes q

  • 1. ESFUERZOS CORTANTES Q Q (0 - 5.0) Q (5.0 - 7.0) Q (7.0 - 12.0) 350.00 -250.00 -250.00 MOMENTOS FLECTORES MOMENTO X P=600.00 TOTAL a=5.00 0.00 0.00 0.00 1.20 420.00 420.00 2.40 840.00 840.00 3.60 1,260.00 1,260.00 4.80 1,680.00 1,680.00 5.00 1,750.00 1,750.00 6.00 1,500.00 1,500.00 7.20 1,200.00 1,200.00 8.40 900.00 900.00 9.60 600.00 600.00 10.80 300.00 300.00 12.00 0.00 0.00
  • 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