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 γ_n = 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 %