Section bearing capacity

Objective: Section bearing capacity

Task: Calculate ultimate moment strength of the section

References: Reinforced concrete desing to Eurocode 2. W.H.Mosley, J.H.Bumgey and R. Hulse, 2007  (Example 4.4, p. 76-77)

Initial data file:

ARBAT program section – Check, mode – Strength of RC Sections

Example-4.4-EN.SAV
report – Arbat 4.4-EN.doc.

Compliance with the codes: EN 1992-1-1

Initial data:

b×h = 280×550 mm	Cross-section sizes
а1= 40 mm	Distance to the center of gravity of reinforcement to the lower edge
As1 = 2410 mm2	Area of the lower reinforcement
а 2= 50 mm	Distance to the center of gravity of reinforcement to the upper edge
As2 = 628 mm2	Area of the upper reinforcement
М = 443 kNm	Bending moment
Concrete class Class of reinforcement	С20/25 B500M(A)

 

Initial data in ARBAT:

Importance factor  K_FI = 1
Coefficient taking account of long term effects on the compressive strength aсс = 0,85
Member length 1 m
Effective length factor in the XoY plane 1
Effective length factor in the XoZ plane 1

 

Section

b = 280 mm h = 550 mm a1 = 40 mm a2 = 50 mm	S1 - 3∅32 S2 - 2∅20

 

Reinforcement	Class	Additional service factor
Longitudinal	B500M (B)	1
Transverse	B420S (B)	1

 

Concrete

Concrete type: Heavy-weight
Concrete class: C25/30
Aggregate: Quartzite

Additional parameters
additional service factor	1
Concrete age (days)	28
Cement strength class	Class R
Creep progress time	36500	days
Temperature T(∆t)	20	°C
The number of days where a temperature T prevails ∆t	28	days
Relative humidity	40	%

 

Results of analysis by load case combinations

		N	My	Vz	Mz	Vy	T
		T	kN*m	T	kN*m	T	kN*m
1	Fundamental combination	0	443	0	0	0	0

 

Checked according to EN 1992-1-1	Check	Utilization Factor
	Ultimate moment strength of the section	1,047

 

Comparison of solutions

Check	Ultimate moment strength of the section
Guide	443 kNm
ARBAT	443/1,047 = 423,1 kNm
Deviation, %	4,5 %