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ANALISIS DE ESFUERZOS Y
DEFORMACIONES
ESTRUCTURA: Puente peatonal Los
Nogales
Ubicación: Avenida de Evitamiento –
Urb. Los nogales
Datos Usados
 Longitud del puente:
Ancho total: 18 m.
 Altura: 1.73 m.
 Dimensiones de paños Triangulares:
Base: 2 m. – Lado: 2 m.
 Carga Puntual: 5KN/m2
Referencia: CARGAS EN PUENTES PEATONALES Los puentes para uso peatonal y para el
tráfico de bicicletas deberán ser diseñados para una carga viva uniformemente repartido de
5kN/m2.
(Manual de diseño de puentes – Ministerio de transportes y comunicaciones, 2003)
 Sección Transversal del acero: 0.0165 m2.
 Modulo de Elasticidad: 2x10(8) Kpa.
Referencia: Acero para estructuras metálicas (MDP-2003)
 Coeficiente de dilatación:
 Variación de Temperatura: -20 °C a + 50 °C
(Manual de diseño de puentes – Ministerio de transportes y comunicaciones, 2003)
Datos Usados
Planteamiento
 Armadura:
 Representación
 Tipos de Apoyo:
Conexión de pasador Guía de deslizamiento
articulada libre
Planteamiento
1.- Diagrama de cuerpo libre
ƩFx=0
Ax = 0
ƩFy=0
Ay + Jy – 5 = 0
ƩMA=0
-5 x 9 + Jy x 18 = 0
Jy = 2,5 KN.
Ay = 2,5 Kn.
2.- Análisis
Calculo de Esfuerzos
NUDOS
FUERZAS
(KN)
TIPO DE
FUERZA
AREA (m2)
ESFUERZO
(Kpa)
NUDOS
FUERZAS
(KN)
TIPO DE
FUERZA
AREA (m2)
ESFUERZO
(Kpa)
AK 2.89 Compresion 0.0165 175.15 DN 2.89 Compresion 0.0165 175.15
AK' 1.45 Tension 0.0165 87.88 DN' 10.12 Tension 0.0165 613.33
K'B 1.45 Tension 0.0165 87.88 N'E 10.12 Tension 0.0165 613.33
KK' 0.00 0.0165 0.00 N'N 0.00 0.0165 0.00
KL 2.89 Compresion 0.0165 175.15 NE 2.89 Tension 0.0165 175.15
KB 2.89 Tension 0.0165 175.15 NO 11.56 Compresion 0.0165 700.61
BL 2.89 Compresion 0.0165 175.15 EO 2.89 Compresion 0.0165 175.15
BL' 4.34 Tension 0.0165 263.03 EO' 13.01 Tension 0.0165 788.48
L'C 4.34 Tension 0.0165 263.03 O'F 13.01 Tension 0.0165 788.48
LL' 0.00 0.0165 0.00 OO' 5.00 Tension 0.0165 303.03
LC 2.89 Tension 0.0165 175.15 OF 2.89 Compresion 0.0165 175.15
LM 5.78 Compresion 0.0165 350.30 OP 11.56 Compresion 0.0165 700.61
CM 2.89 Compresion 0.0165 175.15 FP 2.89 Tension 0.0165 175.15
CM' 7.23 Tension 0.0165 438.18 FP' 10.12 Tension 0.0165 613.33
M'D 7.23 Tension 0.0165 438.18 PP' 0.00 0.0165 0.00
MM' 0.00 0.0165 0.00 P'G 10.12 Tension 0.0165 613.33
MD 2.89 Tension 0.0165 175.15 PG 2.89 Compresion 0.0165 175.15
MN 8.67 Compresion 0.0165 525.45 PQ 8.67 Compresion 0.0165 525.45
Calculo de deformaciones por carga
Modulo de
Elasticidad
del Acero
(N/m2)
2 x 10 (8) Kpa
NUDOS
Longitud
(m)
FUERZAS
(KN)
TIPO DE
FUERZA
AREA
(m2)
ESFUERZO
(Kpa)
DEFORMACION
POR CARGA
(mm.)
AK 2.00 2.89 Compresion 0.0165 175.15 0.0018
AK' 1.00 1.45 Tension 0.0165 87.88 0.0004
K'B 1.00 1.45 Tension 0.0165 87.88 0.0004
KL 2.00 2.89 Compresion 0.0165 175.15 0.0018
KB 2.00 2.89 Tension 0.0165 175.15 0.0018
BL 2.00 2.89 Compresion 0.0165 175.15 0.0018
BL' 1.00 4.34 Tension 0.0165 263.03 0.0013
L'C 1.00 4.34 Tension 0.0165 263.03 0.0013
LC 2.00 2.89 Tension 0.0165 175.15 0.0018
LM 2.00 5.78 Compresion 0.0165 350.30 0.0035
CM 2.00 2.89 Compresion 0.0165 175.15 0.0018
CM' 1.00 7.23 Tension 0.0165 438.18 0.0022
M'D 1.00 7.23 Tension 0.0165 438.18 0.0022
MD 2.00 2.89 Tension 0.0165 175.15 0.0018
MN 2.00 8.67 Compresion 0.0165 525.45 0.0053
DN 2.00 2.89 Compresion 0.0165 175.15 0.0018
DN' 1.00 10.12 Tension 0.0165 613.33 0.0031
N'E 1.00 10.12 Tension 0.0165 613.33 0.0031
Deformaciones por temperatura
COEFICIENTE
DE
DILATACION °C
(-1)
1.2 X 10 (-5)
VARIACION DE
TEMPERATURA
-20 °C
a
+50°C
FORMULA α x L x ΔT°
NUDOS
Longitud
(m)
FUERZAS
(KN)
TIPO DE
FUERZA
AREA (m2)
ESFUERZO
(Kpa)
DEFORMACION
POR
TEMPERATURA
AK 2.00 2.89 Compresion 0.0165 175.15 1.68
AK' 1.00 1.45 Tension 0.0165 87.88 0.84
K'B 1.00 1.45 Tension 0.0165 87.88 0.84
KL 2.00 2.89 Compresion 0.0165 175.15 1.68
KB 2.00 2.89 Tension 0.0165 175.15 1.68
BL 2.00 2.89 Compresion 0.0165 175.15 1.68
BL' 1.00 4.34 Tension 0.0165 263.03 0.84
L'C 1.00 4.34 Tension 0.0165 263.03 0.84
LC 2.00 2.89 Tension 0.0165 175.15 1.68
LM 2.00 5.78 Compresion 0.0165 350.30 1.68
CM 2.00 2.89 Compresion 0.0165 175.15 1.68
CM' 1.00 7.23 Tension 0.0165 438.18 0.84
M'D 1.00 7.23 Tension 0.0165 438.18 0.84
MD 2.00 2.89 Tension 0.0165 175.15 1.68
MN 2.00 8.67 Compresion 0.0165 525.45 1.68
DN 2.00 2.89 Compresion 0.0165 175.15 1.68
DN' 1.00 10.12 Tension 0.0165 613.33 0.84
N'E 1.00 10.12 Tension 0.0165 613.33 0.84
dipositivas de analisis estructural

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dipositivas de analisis estructural

  • 1. ANALISIS DE ESFUERZOS Y DEFORMACIONES ESTRUCTURA: Puente peatonal Los Nogales
  • 2. Ubicación: Avenida de Evitamiento – Urb. Los nogales
  • 3. Datos Usados  Longitud del puente: Ancho total: 18 m.  Altura: 1.73 m.  Dimensiones de paños Triangulares: Base: 2 m. – Lado: 2 m.  Carga Puntual: 5KN/m2 Referencia: CARGAS EN PUENTES PEATONALES Los puentes para uso peatonal y para el tráfico de bicicletas deberán ser diseñados para una carga viva uniformemente repartido de 5kN/m2. (Manual de diseño de puentes – Ministerio de transportes y comunicaciones, 2003)
  • 4.  Sección Transversal del acero: 0.0165 m2.  Modulo de Elasticidad: 2x10(8) Kpa. Referencia: Acero para estructuras metálicas (MDP-2003)  Coeficiente de dilatación:  Variación de Temperatura: -20 °C a + 50 °C (Manual de diseño de puentes – Ministerio de transportes y comunicaciones, 2003) Datos Usados
  • 6.  Tipos de Apoyo: Conexión de pasador Guía de deslizamiento articulada libre Planteamiento
  • 7. 1.- Diagrama de cuerpo libre ƩFx=0 Ax = 0 ƩFy=0 Ay + Jy – 5 = 0 ƩMA=0 -5 x 9 + Jy x 18 = 0 Jy = 2,5 KN. Ay = 2,5 Kn.
  • 9. Calculo de Esfuerzos NUDOS FUERZAS (KN) TIPO DE FUERZA AREA (m2) ESFUERZO (Kpa) NUDOS FUERZAS (KN) TIPO DE FUERZA AREA (m2) ESFUERZO (Kpa) AK 2.89 Compresion 0.0165 175.15 DN 2.89 Compresion 0.0165 175.15 AK' 1.45 Tension 0.0165 87.88 DN' 10.12 Tension 0.0165 613.33 K'B 1.45 Tension 0.0165 87.88 N'E 10.12 Tension 0.0165 613.33 KK' 0.00 0.0165 0.00 N'N 0.00 0.0165 0.00 KL 2.89 Compresion 0.0165 175.15 NE 2.89 Tension 0.0165 175.15 KB 2.89 Tension 0.0165 175.15 NO 11.56 Compresion 0.0165 700.61 BL 2.89 Compresion 0.0165 175.15 EO 2.89 Compresion 0.0165 175.15 BL' 4.34 Tension 0.0165 263.03 EO' 13.01 Tension 0.0165 788.48 L'C 4.34 Tension 0.0165 263.03 O'F 13.01 Tension 0.0165 788.48 LL' 0.00 0.0165 0.00 OO' 5.00 Tension 0.0165 303.03 LC 2.89 Tension 0.0165 175.15 OF 2.89 Compresion 0.0165 175.15 LM 5.78 Compresion 0.0165 350.30 OP 11.56 Compresion 0.0165 700.61 CM 2.89 Compresion 0.0165 175.15 FP 2.89 Tension 0.0165 175.15 CM' 7.23 Tension 0.0165 438.18 FP' 10.12 Tension 0.0165 613.33 M'D 7.23 Tension 0.0165 438.18 PP' 0.00 0.0165 0.00 MM' 0.00 0.0165 0.00 P'G 10.12 Tension 0.0165 613.33 MD 2.89 Tension 0.0165 175.15 PG 2.89 Compresion 0.0165 175.15 MN 8.67 Compresion 0.0165 525.45 PQ 8.67 Compresion 0.0165 525.45
  • 10. Calculo de deformaciones por carga Modulo de Elasticidad del Acero (N/m2) 2 x 10 (8) Kpa NUDOS Longitud (m) FUERZAS (KN) TIPO DE FUERZA AREA (m2) ESFUERZO (Kpa) DEFORMACION POR CARGA (mm.) AK 2.00 2.89 Compresion 0.0165 175.15 0.0018 AK' 1.00 1.45 Tension 0.0165 87.88 0.0004 K'B 1.00 1.45 Tension 0.0165 87.88 0.0004 KL 2.00 2.89 Compresion 0.0165 175.15 0.0018 KB 2.00 2.89 Tension 0.0165 175.15 0.0018 BL 2.00 2.89 Compresion 0.0165 175.15 0.0018 BL' 1.00 4.34 Tension 0.0165 263.03 0.0013 L'C 1.00 4.34 Tension 0.0165 263.03 0.0013 LC 2.00 2.89 Tension 0.0165 175.15 0.0018 LM 2.00 5.78 Compresion 0.0165 350.30 0.0035 CM 2.00 2.89 Compresion 0.0165 175.15 0.0018 CM' 1.00 7.23 Tension 0.0165 438.18 0.0022 M'D 1.00 7.23 Tension 0.0165 438.18 0.0022 MD 2.00 2.89 Tension 0.0165 175.15 0.0018 MN 2.00 8.67 Compresion 0.0165 525.45 0.0053 DN 2.00 2.89 Compresion 0.0165 175.15 0.0018 DN' 1.00 10.12 Tension 0.0165 613.33 0.0031 N'E 1.00 10.12 Tension 0.0165 613.33 0.0031
  • 11. Deformaciones por temperatura COEFICIENTE DE DILATACION °C (-1) 1.2 X 10 (-5) VARIACION DE TEMPERATURA -20 °C a +50°C FORMULA α x L x ΔT° NUDOS Longitud (m) FUERZAS (KN) TIPO DE FUERZA AREA (m2) ESFUERZO (Kpa) DEFORMACION POR TEMPERATURA AK 2.00 2.89 Compresion 0.0165 175.15 1.68 AK' 1.00 1.45 Tension 0.0165 87.88 0.84 K'B 1.00 1.45 Tension 0.0165 87.88 0.84 KL 2.00 2.89 Compresion 0.0165 175.15 1.68 KB 2.00 2.89 Tension 0.0165 175.15 1.68 BL 2.00 2.89 Compresion 0.0165 175.15 1.68 BL' 1.00 4.34 Tension 0.0165 263.03 0.84 L'C 1.00 4.34 Tension 0.0165 263.03 0.84 LC 2.00 2.89 Tension 0.0165 175.15 1.68 LM 2.00 5.78 Compresion 0.0165 350.30 1.68 CM 2.00 2.89 Compresion 0.0165 175.15 1.68 CM' 1.00 7.23 Tension 0.0165 438.18 0.84 M'D 1.00 7.23 Tension 0.0165 438.18 0.84 MD 2.00 2.89 Tension 0.0165 175.15 1.68 MN 2.00 8.67 Compresion 0.0165 525.45 1.68 DN 2.00 2.89 Compresion 0.0165 175.15 1.68 DN' 1.00 10.12 Tension 0.0165 613.33 0.84 N'E 1.00 10.12 Tension 0.0165 613.33 0.84