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Evo Design - structural engineering
Calculation No.
001-RC BEAM
CALCULATION SHEET
Project No.
onlinestructuraldesign.com
SAMPLE CALCULATION
Project Title:
Reinforced concrete beam - interactive design spreadsheet
Calc. By
Date
Rev.
MN
16.04.2014
0
Subject
RC Beam - Bending Moment Capacity calculation (EC2)
Checked By
Date
Metric Units Spreadsheet
CN
16.04.2014
Input
Â
Output
Beam section dimensions
Bending moment capacity
Reinforcement
Materials (steel, concrete)
Reinforced Concrete Beam Calculation - Bending Moment Capacity (EC2)
per EN 1992-1-1:2004*
Section 3
Beam bending moment capacity at ultimate limit state
Beam section dimensions
h =
400
mm
(parameters that can not be
b =
300
mm
Â
modified in the demo version)
Area =
mm
2
Reinforcement
c =
mm
cover
f
=
Â
0
6
7
8
10
12
14
16
18
20
22
25
28
32
36
40
0
6
7
8
10
12
14
16
18
20
22
25
28
32
36
40
0
6
7
8
10
12
14
16
18
20
22
25
28
32
36
40
mm
bars diameter
n =
0
1
2
3
4
5
6
7
8
9
10
0
1
2
3
4
5
6
7
8
9
10
0
1
2
3
4
5
6
7
8
9
10
no of bars
per EN 1992-1-1:2004
Section 3.1.7 Figure 3.5
A
s
=
mm
2
area of reinforcement in tension side
p
reinf
=
%
percentage of tension reinforcement
Materias
Concrete class
C12/15
C16/20
C20/25
C25/30
C30/37
C35/45
C40/50
C45/55
C50/60
C55/67
C60/75
C70/85
C80/95
C90/105
per EN 1992-1-1:2004
f
ck
=
MPa
concrete characteristic
Â
Section 3 Table 3.1
cylinder strength
Tension reinforc
ement
type
reinforcement types
f
yk
=
MPa
reinforcement yield strength
Partial factors for materials for ultimate limit states
per EN 1992-1-1:2004
Section 2 Table 2.1N
g
c
=
values for Persistent & Transient design situations
g
s
=
recommended by the Eurocode; values to be used
may be found in the Eurocode National Annexes
References:
EN 1993-1-1:2004 - Eurocode 2: Design of concrete structures - Part 1-1: General rules and rules for buildings
Calculation No.
CALCULATION SHEET
Project No.
onlinestructuraldesign.com
Project Title:
Calc. By
Date
Rev.
Subject
Ckd. By
Date
Design compressive concrete strength
per EN 1992-1-1:2004
Section 3.1.6
a
cc
=
Coefficient taking account of long term effects
on the compressive strength and of unfavourable
effectsresulting from the way the load is applied
value may be found in the EC National Annex
f
cd
=
a
cc
* f
ck
/
g
c
=
MPa
formula 3.15
Design reinforce
ment strength
f
yd
=
f
yk
/
g
s
=
MPa
per EN 1992-1-1:2004
Section 3.1.7 Figure 3.8
l
=
per EN 1992-1-1:2004
Section 3.1.7 (3)
h
=
A rectangular stress distribution is assumed
l
, defining the effective height of the compression
zone and
h
, defining the effective strength are
derived from formulas 3.19, 3.20, 3.21 and 3.22
Bending moment capacity - Stress and strain equilibrium - pure bending
F
s
=
A
s
* f
yd
=
kN
F
b
=
F
s
a =
F
b
/ (
h
* b * f
cd
)
=
mm
x =
a /
l
=
mm
M
cap
=
F
b
* (h - c -
f
/2 -a/2)
=
kN*m
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