Determine all the reactions for the given structure. The uniform load on all girders extends to the centerlines of the columns. Given: X = 15 kN. w=4 kN/m XkN 30 kN 30 kN F G H w = 6 kN/m w = 6 kN/m m TIT E D C B 3 m 4 m 6 m

Structural Analysis
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Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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**Description of the Structure and Load Analysis**

**Objective:**
Determine all the reactions for the given structure. The uniform load on all girders extends to the centerlines of the columns.

**Given:**
- X = 15 kN
- Uniform load (w) on the top girder (EF) = 4 kN/m
- Uniform load (w) on the middle and lower girders (GD and HC) = 6 kN/m

**Structural Details:**
1. The structure consists of columns and girders with specific loads applied at various points.
2. The span of girder AB is 12 meters.
3. Vertical distances between different levels are:
   - EF to GD = 3 meters
   - GD to HC = 4 meters
   - HC to AB = 6 meters

**Load Applications:**
- A lateral force X is applied to the left at point F on the top girder.
- A 30 kN lateral force is applied to the left at point G on the middle level.
- A 30 kN lateral force is applied to the left at point H on the lower level.

**Diagram Explanation:**
- **Girder EF:** Uniform load of 4 kN/m across 12 m span, total load = 48 kN.
- **Girder GD:** Uniform load of 6 kN/m across 12 m span, total load = 72 kN.
- **Girder HC:** Uniform load of 6 kN/m across 12 m span, total load = 72 kN.

**Reaction Calculation:**
Determine support reactions at points A and B, accounting for:
- Vertical reactions due to uniform loads.
- Horizontal reactions due to lateral forces at F, G, and H.
- The implication of moment and shear forces for static equilibrium in the system.

Understanding these reactions is vital for ensuring the structural integrity and stability of the building.
Transcribed Image Text:**Description of the Structure and Load Analysis** **Objective:** Determine all the reactions for the given structure. The uniform load on all girders extends to the centerlines of the columns. **Given:** - X = 15 kN - Uniform load (w) on the top girder (EF) = 4 kN/m - Uniform load (w) on the middle and lower girders (GD and HC) = 6 kN/m **Structural Details:** 1. The structure consists of columns and girders with specific loads applied at various points. 2. The span of girder AB is 12 meters. 3. Vertical distances between different levels are: - EF to GD = 3 meters - GD to HC = 4 meters - HC to AB = 6 meters **Load Applications:** - A lateral force X is applied to the left at point F on the top girder. - A 30 kN lateral force is applied to the left at point G on the middle level. - A 30 kN lateral force is applied to the left at point H on the lower level. **Diagram Explanation:** - **Girder EF:** Uniform load of 4 kN/m across 12 m span, total load = 48 kN. - **Girder GD:** Uniform load of 6 kN/m across 12 m span, total load = 72 kN. - **Girder HC:** Uniform load of 6 kN/m across 12 m span, total load = 72 kN. **Reaction Calculation:** Determine support reactions at points A and B, accounting for: - Vertical reactions due to uniform loads. - Horizontal reactions due to lateral forces at F, G, and H. - The implication of moment and shear forces for static equilibrium in the system. Understanding these reactions is vital for ensuring the structural integrity and stability of the building.
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