Beam Deflection Analysis

Objective: Calculate beam deflection

Task: Calculate the value of beam deflection

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. – p. 280. (Example 15, p. 92.)

Initial data file:

ARBAT mode – Single-Span Beam Deflection

Example-15.1-DBN.sav
report – Arbat-15.1-DBN.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

q= 35,555 kN/m

Uniformly distributed load

Concrete class
Class of reinforcement

С20/25
A400С

 

Initial data in ARBAT:
Importance factor γn = 1

Member length 6 m

 

Section

b = 200 mm

h = 500 mm

a1 = 26 mm

a2 = 26 mm

 

 

 

 

Reinforcement

Class

Additional service factor

Longitudinal

A400C

1

Transverse

A240C

1

 

Specified reinforcement

Span

Segment

Length (m)

Reinforcement

Section

span 1

1

6

S1 - 2Ø28

Transverse reinforcement along axis Z 2Ø16, spacing of transverce reinforcement 100 mm

 

 

Concrete

Concrete type: Heavy-weight

Concrete class: C20/25

Aggregate: Quartzite

Additional parameters

 

Additional service factor

1

 

 

Age of concrete (days)

28

 

 

Cement strength class

Class R

 

 

Creep development time

36500

days

 

Temperature T(Dt)

20

°C

 

Number of days when the temperature T prevails Dt

28

days

 

Relative humidity

40

%

 

 

Calculated deflections

 

Span

Maximum deflection

Minimum deflection

 

Value

Snap

Value

Snap

 

mm

m

mm

m

 

span 1

19,107

3,012

0

6

 

 

 

Comparison of solutions

Check

Deflection value

Guide

22,2 mm

ARBAT

19,107 mm

Deviation, %

16,2 %

 

Comment. The difference in the results is due to the fact that the Manual uses approximate empirical formulas for determining deflection, based on the use of curvature in the section with the maximum bending moment. In the ARBAT program, deflection is determined at the corresponding curvatures in different sections along the length of the beam.