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
Class of reinforcement

В15
A400

 

ARBAT initial data:

Importance factor γn = 1
Importance factor (serviceability limit state)  = 1

Structure:

Section:

b = 1000 mm
h = 200 mm
a1 = 20 mm
a2 = 20 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.