Calculation of the crack opening width

Objective: Determine the crack resistance of a beam

Task: Determine the crack opening width

References: Practical calculation of elements of reinforced concrete structures according to DBN V. 2.6-98:2009 in comparison with calculations according to SNiP 2.03.01-84* and EN 1992-1-1 (Eurocode 2) / V.M. Babaev, A.M. Bambura, O.M. Pustovoitova et.al., edited by V.S. Shmukler, – Kharkiv: Golden Pages, 2015. – pp. 88-90.

 

Initial data file:

Example-14DBN.SAV
report – Arbat 14DBN.doc.

Compliance with the codes: DBN V 2.6-98:2009, DSTU B.V 2.6-156:2010

Initial data:

l=6,0 m

Beam span

b×h = 200×500 mm

Beam section sizes

а = 26 mm

Distance from the edge of the reinforcement to the edge of the section

As = 1232 mm2 (2Ø28)

Cross-sectional area of reinforcement

М= 160 kNm

Bending moment

Concrete class
Class of reinforcement

С20/25
A400С

 

Initial data in ARBAT:
Importance factor γn = 1

Member length 6 m

Effective length factor in the XoY plane 1

Effective length factor in the XoZ plane 1

Random eccentricity along Z according to DBN B.2.6-98:2009 with modification No.1

Random eccentricity along Y according to DBN B.2.6-98:2009 with modification No.1

The structure is statically determinate

 

Section

b = 200 mm

h = 500 mm

a1 = 26 mm

a2 = 26 mm

 

 

S1 - 2Ø28

 

 

Reinforcement

Class

Additional service factor

Longitudinal

A400C

1

Transverse

A240C

1

 

Concrete

Concrete type: Heavy-weight

Concrete class: C20/25

Aggregate: Quartz

Additional parameters

Additional service factor

1

 

Age of concrete (days)

28

 

Cement strength class

Class R

 

Creep development time

36500

days

Temperature T(Δt)

20

°C

Number of days when the temperature T prevails Δt

28

days

Relative humidity

40

%

 

 

Crack resistance

Parameters

Maximum crack opening width wmax

0,3

mm

 

Comparison of solutions

Check

Crack opening width

Guide

0,26 mm

ARBAT

0,869х0,3=0,261 mm

Deviation, %

0,4 %