06 DIAGRAMAS PARTE 02

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Estabilidade
Edilberto BORJA
CARGA UNIFORMEMENTE DISTRIBUÍDA – Momento Fletor
2 x2,5- 
2
x
 . x . 5- M(x) 
kN.m 0,625- (0,5) . 2,5- 0,5)M(x 2  kN.m 2,5- (1,0) . 2,5- 1,0)M(x 2  kN.m 5,625- (1,5) . 2,5- 1,5)M(x 2  kN.m 10- (2,0) . 2,5- 2,0)M(x 2  kN.m 15,625- (2,5) . 2,5- 2,5)M(x 2  kN.m 22,5- (3,0) . 2,5- 3,0)M(x 2 Balanço 0 ≤ x ≤ 3,0
0 1
5,0 m
5 kN/m
R =40 kN
0
S1 S2
S3 S4
10 kN/m 5 kN/m
R =40 kN
1
S0
3,0 m 3,0 m
2 5 - 25 22,5- )M( xxx  kN.m 11,25- (0,5) 5. - (0,5) . 25 22,5- 0,5)M( 2 xEntre Apoios 0 ≤ x ≤ 4,0 kN.m 2,5- (1,0) 5. - (1,0) . 25 22,5- 1,0)M( 2 x kN.m 3,75 (1,5) 5. - (1,5) . 25 22,5- 1,5)M( 2 x kN.m 7,5 (2,0) 5. - (2,0) . 25 22,5- 2,0)M( 2 x kN.m 8,75 (2,5) 5. - (2,5) . 25 22,5- 2,5)M( 2 x
0 1
5,0 m
5 kN/m
R =40 kN
0
S1 S2
S3 S4
10 kN/m 5 kN/m
R =40 kN
1
S0
3,0 m 3,0 m
3,0 m 3,0 m
R =40 kN
0
R =40 kN
1
5 kN/m
0 1
5,0 m
S1 S2
S3 S4
10 kN/m 5 kN/m
S0
5,625 
8
35
 
8
q. 22



 l
5,625 
8
35
 
8
q. 22



 l
31,25 
8
510
 
8
q. 22



 l
CARGA UNIFORMEMENTE DISTRIBUÍDA – Esforço Cortante
 x. 5- V(x)  kN.m 2,5- (0,5) . 5- 0,5)V(x  kN.m 5- (1,0) . 5- 1,0)V(x  kN.m 7,5- (1,5) . 5- 1,5)V(x  kN.m 10- (2,0) . 5- 2,0)V(x  kN.m 12,5- (2,5) . 5- 2,5)V(x  kN.m 15- (3,0) . 5- 3,0)V(x 
Balanço 0 ≤ x ≤ 3,0
0 1
5,0 m
5 kN/m
R =40 kN
0
S1 S2
S3 S4
10 kN/m 5 kN/m
R =40 kN
1
S0
3,0 m 3,0 m
xx 10 - 25 )V(  kN 20 (0,5) . 10 25 0,5)V( xEntre Apoios 0 ≤ x ≤ 4,0 kN 15 (1,0) . 10 - 25 1,0)V( x kN 10 (1,5) 10. - 25 1,5)V( x
0 1
5,0 m
5 kN/m
R =40 kN
0
S1 S2
S3 S4
10 kN/m 5 kN/m
R =40 kN
1
S0
3,0 m 3,0 m
kN 5 (2,0) 10. - 25 2,0)V( x kN 0 (2,5) 10. - 25 2,5)V( x
5 kN/m
0 1
5,0 m
S1 S2
S3 S4
10 kN/m 5 kN/m
S0
3,0 m 3,0 m
R =40 kN
0
R =40 kN
1
D. E. C
D. M. F