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  γn = 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 Qc = 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 %