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 or lightweight concrete (no prestressing) (to SNiP 2.03.01-84), 1989, p. 139-140.

Initial data file:
Example 57.SAV
report – Arbat 57.doc.

Compliance with the codes: SNiP 2.03.01-84*. 

Initial data:

l= 3,1 m

Пролет плиты

b×h = 1000×120 mm Размеры сечения плиты
а = 15 mm Расстояние от центра тяжести арматуры до сжатого края сечения
As = 393 mm2 (5Ø10) Площадь сечения арматуры
qtot  = 7 kN/m Полная равномерно распределенная нагрузка
ql = 6 kN/m Часть полной равномерно распределенной нагрузки от постоянных и длительных нагрузок

Concrete class
Class of reinforcement

В25
А-II

ARBAT initial data:

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

Structure:

Section:

b = 1000 mm

h = 120 mm

a1 = 10 mm

a2 = 10 mm

 

 

 

 

Reinforcement

Class

Service factor

Longitudinal

A-II

1

Transverse

A-I

1

 

Specified reinforcement:

Span

Segment

Length (m)

Reinforcement

Section

span 1

1

3.1

S1 - 5Ø10

 

 

Concrete:

Concrete type: Heavy-weight
Concrete class: B25
Density of concrete 2,5 T/m3

Service factor for concrete:

γb2

allowance for the sustained loads

1

 

resulting factor without γb2

1

Conditions of operation:
Mode of concrete humidity - Natural humidity
Humidity of environmental air - 40-75%

Comparison of solutions:

Check

maximum deflection

Guide

12,1 mm

ARBAT

12,839 mm

Deviation, %

5,8 %

 

Comment: The difference in the results is due to the fact that approximate empirical formulas are used in the Guide.