Ejercicio-1-análisis-estructural-ii.docx
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Figura 08-15
Paso 1. Asumimos que l=8 y h=6. Identificamos los giros
Paso 2. Identificamos los diagramas unitarios
DIAGRAMA UNITARIO 1
r11 =
4𝐸𝐼 8
r21 =
2𝐸𝐼 8
+
4𝐸𝐼 6
r31 = 0 r41 =
𝐸𝐼 6
DIAGRAMA UNITARIO 2
r12 =
2𝐸𝐼 8
r22 =
4𝐸𝐼 8
r32 =
2𝐸𝐼 8
+
4𝐸𝐼 8
+
4𝐸𝐼 6
= 𝐸𝐼 +
4𝐸𝐼 6
r42 =
𝐸𝐼 6
Diagrama de momento flector
DIAGRAMA UNITARIO 3
r31 = 0 r22 =
2𝐸𝐼 8
r33 =
4𝐸𝐼 8
r42 =
𝐸𝐼 6
+
4𝐸𝐼 8
DIAGRAMA UNITARIO 4
r41 =
𝐸𝐼 6
r22 =
𝐸𝐼 6
r33 =
𝐸𝐼 6
𝐸𝐼
r42 = ( 9 ) 3 =
𝐸𝐼 3
Paso 3. Hallamos z Rz + Rp = 0 Z= -r -1 Rp
Z= Paso 4. Aplicamos operaciones con matrices Mp=Mp0 + M’z
Paso 5. Dibujamos el diagrama final
Paso 1. Asumimos que l=8 y h=6. Identificamos los giros
Paso 2. Identificamos los diagramas unitarios
DIAGRAMA UNITARIO 1
r11 =
4𝐸𝐼 8
r21 =
2𝐸𝐼 8
+
4𝐸𝐼 6
r31 = 0 r41 =
𝐸𝐼 6
DIAGRAMA UNITARIO 2
r12 =
2𝐸𝐼 8
r22 =
4𝐸𝐼 8
r32 =
2𝐸𝐼 8
+
4𝐸𝐼 8
+
4𝐸𝐼 6
= 𝐸𝐼 +
4𝐸𝐼 6
r42 =
𝐸𝐼 6
Diagrama de momento flector
DIAGRAMA UNITARIO 3
r31 = 0 r22 =
2𝐸𝐼 8
r33 =
4𝐸𝐼 8
r42 =
𝐸𝐼 6
+
4𝐸𝐼 8
DIAGRAMA UNITARIO 4
r41 =
𝐸𝐼 6
r22 =
𝐸𝐼 6
r33 =
𝐸𝐼 6
𝐸𝐼
r42 = ( 9 ) 3 =
𝐸𝐼 3
Paso 3. Hallamos z Rz + Rp = 0 Z= -r -1 Rp
Z= Paso 4. Aplicamos operaciones con matrices Mp=Mp0 + M’z
Paso 5. Dibujamos el diagrama final
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