Analysis of Short Cantilevers

Objective: Check of the analysis of short cantilevers

Task: Verify the correctness of the analysis of short cantilevers

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. 105-106.

Initial data file:

Example 49.SAV
report – Arbat 49.doc.

Compliance with the codes: SNiP 2.03.01-84*. 

Initial data:

b = 400 mm	Width of the cantilever
h = 700 mm	Height of the cantilever
l1 = 350 mm	Cantilever overhang length
lsup,f = 300 mm	Length of the bearing area along the cantilever
As = 1140 mm2 (3Ø22)	Cross-sectional area of longitudinal reinforcement
Asw = 157 mm2 (1Ø10)	Cross-sectional area of transverse reinforcement
N = 700 kN	Vertical load on the cantilever
Concrete class Class of reinforcement	В25 АІІІ

 

ARBAT initial data:

Importance factor  γ_n = 1

Hinge bearing of the girder on the column cantilever

h = 700 mm h1 = 350 mm a = 50 mm L1 = 350 mm C1 = 400 mm C2 = 400 mm

Width of the column (cantilever) b = 400 mm
Length of the girder bearing area L₂ = 300 mm
Concrete cover a₁ = 19 mm
Width of the girder b₁ = 400 mm
Load on the column cantilever Q_c = 700 kN
Longitudinal reinforcement of the cantilever A-III 3Ø22
Transverse reinforcement of the cantilever A-III Ø10, spacing of stirrups 150 mm 

Concrete:

Concrete type: Heavy-weight
Concrete class: B25

Service factor for concrete
γb2	allowance for the sustained loads	0.9

Comparison of solutions:

Check	Providing strength in an oblique compressed strip between a load and a support
Guide	700/717 = 0,976
ARBAT	0,973
Deviation, %	0,3 %

 

Check	Load-bearing capacity of the longitudinal reinforcement
Guide	1002/1140 = 0,879
ARBAT	0,879
Deviation, %	0 %