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 |
С20/25 |
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.