Draw the (a) axial (b) shear and (c) bending moment diagram of the girders. Use portal method for structure (1), cantilever method for structure (2) and Factor Method for structure (3). All columns have the same area. The beams and columns have the same modulus of elasticity. Assume moment inertia of beams is twice the moment of inertia of columns. (1) 15 kN F E 6 m A B C E8m– 8 m-
Draw the (a) axial (b) shear and (c) bending moment diagram of the girders. Use portal method for structure (1), cantilever method for structure (2) and Factor Method for structure (3). All columns have the same area. The beams and columns have the same modulus of elasticity. Assume moment inertia of beams is twice the moment of inertia of columns. (1) 15 kN F E 6 m A B C E8m– 8 m-
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:**Structural Analysis Problems and Diagrams**
**Problem Statement:**
Draw the (a) axial, (b) shear, and (c) bending moment diagrams of the girders. Use the following methods:
1. Portal Method for Structure (1)
2. Cantilever Method for Structure (2)
3. Factor Method for Structure (3)
Assume:
- All columns have the same area.
- Beams and columns have the same modulus of elasticity.
- Moment of inertia of beams is twice the moment of inertia of columns.
---
**Diagrams:**
**Structure (1):**
- **Type**: Rectangular frame
- **Load**: Lateral force of 15 kN at top left corner (point F)
- **Dimensions**: Height = 6 m; Spans = 8 m each between A-B and B-C
**Structure (2):**
- **Type**: Vertical frame with two levels
- **Loads**:
- 5 k at point E (top)
- 4 k at point F (mid-level)
- **Dimensions**:
- Vertical sections: 12 ft each between A-F and F-E
- Horizontal span = 15 ft
**Structure (3):**
- **Type**: Two-tiered horizontal frame
- **Loads**:
- 3 k at point I
- 4 k at point D
- **Dimensions**:
- Horizontal spans: 18 ft (A-B), 20 ft (B-C)
- Vertical spans: 15 ft (A-D), (D-H), (H-I)
Each structure represents a typical frame used in civil engineering analysis, showcasing how different load applications affect internal forces and moments. Calculate shear, axial, and moment diagrams based on specified methods for accurate structural assessment.
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