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
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
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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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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