Scaffold Calculation Report
Given Dimensions:
- Length: 10 m
- Height: 20 m
- Width: 6 m
- Platform Spacing: Every 2 m vertically
Step 1: Definitions
1. Standards: Vertical tubes/poles that support the scaffold.
2. Ledgers: Horizontal tubes running parallel to the length of the scaffold.
3. Transoms: Horizontal tubes running perpendicular to the length, supporting the planks.
4. Couplers: Clamps that connect scaffold components.
5. Planks: Boards used for platforms.
6. Ties: Securing connections between the scaffold and a stable structure.
Step 2: Assumptions
- Standards are spaced every 2 m along both the length and width.
- Platforms are installed every 2 m in height (10 platforms total).
- Scaffold is double-row (standards in two rows along the width).
- Safety factor is 4:1.
Step 3: Scaffold Component Calculations
1. Standards:
- Standards are placed at grid intersections:
- Along length: (10 / 2) + 1 = 6
- Along width (2 rows): (6 / 2) + 1 = 4
- Total standards: 6 x 4 x 2 = 48
2. Ledgers:
- Ledgers run horizontally along the length.
- Levels (including top level): (20 / 2) + 1 = 11
- Ledgers per level (2 rows along the width): 6
- Total ledgers: 11 x 6 = 66
3. Transoms:
- Transoms run horizontally along the width to support planks.
- Transoms per level: (10 / 2) + 1 = 6
- Total transoms: 6 x 11 = 66
4. Couplers:
- Couplers connect standards, ledgers, and transoms:
- Standards to ledgers: 48 x 11 = 528
- Standards to transoms: 48 x 6 = 288
- Total couplers: 528 + 288 = 816
5. Planks:
- Plank width = 0.3 m.
- Platforms per level: (6 / 0.3) = 20
- Total planks: 20 x 10 = 200
6. Ties:
- Ties are placed every 4 m vertically and 3 m horizontally:
- Vertical tie levels: (20 / 4) + 1 = 6
- Horizontal ties per level: (10 / 3) + 1 = 4
- Total ties: 6 x 4 = 24
Step 4: Scaffold Load Calculations
1. Dead Load (Self-weight of Scaffold Components):
- Standards: 48 x 20 x 4.5 = 4,320 kg
- Ledgers and Transoms: (66 + 66) x 10 x 4.5 = 5,940 kg
- Couplers: 816 x 1 = 816 kg
- Planks: 200 x 25 = 5,000 kg
- Total Dead Load: 4,320 + 5,940 + 816 + 5,000 = 16,076 kg
2. Live Load (Workers, Tools, and Materials):
- Workers: 30 x 80 = 2,400 kg
- Materials and Tools: 1.2 x 60 = 7,200 kg
- Total Live Load: 2,400 + 7,200 = 9,600 kg
3. Total Load:
- Total Load = Dead Load + Live Load: 16,076 + 9,600 = 25,676 kg
4. Design Load:
- Design Load = Total Load × Safety Factor: 25,676 × 4 = 102,704 kg
Final Summary:
1. Standards: 48
2. Ledgers: 66
3. Transoms: 66
4. Couplers: 816
5. Planks: 200
6. Ties: 24
7. Total Load: 25,676 kg
8. Design Load (with Safety Factor): 102,704 kg
This sequence ensures the scaffold is properly designed, stable, and meets safety standards.