Slab Deflection Analysis
Objective: Check of the slab deflection analysis
Task: Verify the correctness of the deflection calculation
References: Guide on designing of concrete and reinforced concrete structures made of heavy-weight concrete (no prestressing) (to SP 52-101-2003), 2005, p. 173-174.
Initial data file:
Example 45.SAV
report – Arbat 45.doc.
Compliance with the codes: SP 52-101-2003, SP 63.13330.2012.
Initial data:
| l=5,6 m | Slab span |
| b×h = 1000×200 mm | Slab section sizes |
| а = 27 mm | Distance from the center of gravity of the reinforcement to the compressed edge of the section |
| As = 769 mm2 (5Ø14) | Cross-sectional area of reinforcement |
| q = 7 kN/m | Total uniformly distributed load |
| ql = 6,5 kN/m | Part of the total uniformly distributed load from permanent and long-term loads |
|
Concrete class |
В15 |
ARBAT initial data:
Importance factor γn = 1
Importance factor (serviceability limit state) = 1
Structure:
Section:
|
b = 1000 mm
|
|
|
Reinforcement |
Class |
Service factor |
|
Longitudinal |
A400 |
1 |
|
Transverse |
A240 |
1 |
Specified reinforcement:
|
Span |
Segment |
Length (m) |
Reinforcement |
Section |
|
span 1 |
1 |
5,6 |
S1 - 5Ø14
|
|
Concrete:
Concrete type: Heavy-weight
Concrete class: B15
Density of concrete 2,5 T/m3
|
Service factors for concrete |
||
|---|---|---|
|
γb1 |
allowance for the sustained loads |
1 |
|
γb2 |
allowance for the failure behavior |
1 |
|
γb3 |
allowance for the vertical position during concreting |
1 |
|
γb5 |
allowance for the freezing/thawing and negative temperatures |
1 |
Humidity of environmental air - 40-75%
Conditions of operation:
Mode of concrete humidity - Natural humidity
Humidity of environmental air - 40-75%
Comparison of solutions:
|
Check |
maximum deflection |
|
Guide |
31,5 mm |
|
ARBAT |
32,847 mm |
|
Deviation, % |
4,2 % |
Comment: The difference in the results is due to the fact that approximate empirical formulas are used in the Guide.