Tee 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. 140-141.

Initial data file:

Example 59.SAV
report – Arbat 59.doc.

Compliance with the codes: SNiP 2.03.01-84*. 

Initial data:

l = 5,7  m	Slab span
b×h = 80×300 mm	Slab section sizes
а = 31 mm	Distance from the center of gravity of the reinforcement to the compressed edge of the section
As = 380 mm2 (1Ø22)	Cross-sectional area of reinforcement
ql = 8,75 kN/m	Permanent and long-term distributed load
Concrete class Class of reinforcement	В25, D1600 А-II

ARBAT initial data:

Importance factor  γ_n = 1

Structure:

Section:

b = 80 mm h = 300 mm b1 = 730 mm h1 = 30 mm a1 = 20 mm a2 = 20 mm

 

Reinforcement	Class	Service factor
Longitudinal	A-II	1
Transverse	A-I	1

 

Specified reinforcement:

Span	Segment	Length (m)	Reinforcement	Section
span 1	1	5.7	S1 - 1Ø22

 

Concrete:

Concrete type: Lightweight
Concrete class: B25
Grade by average density: D1600
Aggregate: Artificial dense
Density of concrete 1.6 T/m³

Hardening conditions: In steam-curing chambers
Hardening factor 1

 

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	23,2 mm
ARBAT	22,905 mm
Deviation, %	1,3 %

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