Continuous Beam Analysis & Design
Short Description
Continuous Beam Analysis & Design...
Description
REINFORCED CONCRETE COUNCIL
Project
Spreadsheets to EC2
Client Location
Advisory Group Worked Examples : Main beam Grids C to H
Made by
CONTINUOUS BEAM ANALYSIS & DESIGN to EC2 (DD ENV 1992-1-1 : 1992)
Checked
Originated from RCCe41.xls on CD
MATERIALS fck fyk fywk SPANS SPAN 1 SPAN 2 SPAN 3 SPAN 4 SPAN 5 SPAN 6
rmw chg
© 1999 BCA for RCC
dg gs gc
N/mm² N/mm² N/mm²
20 1.15 1.50
mm
L (m)
h (mm)
bw (mm)
hf (mm)
Type
bf (mm)
8.00 6.00
500 500
300 300
175 175
R R
300 300
H (mm)
B (mm)
300 300 300
300 300 300
SUPPORTS ABOVE (m) Support 1 3.500 Support 2 3.500 Support 3 3.500 Support 4 Support 5 Support 6 Support 7
End Cond BELOW (m)
F F F
4.000 5.000 4.000
Page
30-Apr-14 Revision
149 Job No
-
R68
COVERS (to links) Top cover 20 mm Btm cover 20 mm Side cover 20 mm
STATUS OK 32 500 250
Date
LOADING PATTERN min
max
DEAD 1.0 1.35 IMPOSED 1.5 REBAR LAYERING Support steel in alt layer ? N
H (mm)
B (mm)
End Cond
300 300 300
300 300 300
P P P
Dead Load
Imposed Load
Position from left
Loaded Length
~~~~~
~~~~~ ~~~~~ ~~~~~
~~~~~
~~~~~ ~~~~~ ~~~~~
~~~~~
~~~~~ ~~~~~ ~~~~~
LOADING DIAGRAM
LOADING Span 1 UDL PL 1 PL 2 Part UDL Span 2 UDL PL 1 PL 2 Part UDL Span 3 UDL PL 1 PL 2 Part UDL
UDLs (kN/m²)
PLs (kN)
Position (m)
Dead Load
Imposed Load
Position from left
Loaded Length
25.8
20.0
~~~~~
~~~~~ ~~~~~ ~~~~~
25.8
20.0
~~~~~
~~~~~ ~~~~~ ~~~~~
~~~~~
~~~~~ ~~~~~ ~~~~~
REACTIONS (kN) SUPPORT
ALL SPANS LOADED ODD SPANS LOADED EVEN SPANS LOADED MAX ULTIMATE Characteristic Dead Characteristic Imposed
1
2
3
241.9 241.9 79.6 241.9 92.7 77.9
506.4 399.1 352.3 506.4 209.3 149.2
159.3 32.5 163.4 163.4 59.2 55.7
Span 4 UDL PL 1 PL 2 Part UDL Span 5 UDL PL 1 PL 2 Part UDL Span 6 UDL PL 1 PL 2 Part UDL
REINFORCED CONCRETE COUNCIL
Project
Spreadsheets to EC2
Client Location
Advisory Group Worked Examples: Main beam Grids C to H
Made by
CONTINUOUS BEAM ANALYSIS & DESIGN to EC2 (DD ENV 1992-1-1 : 1992)
Checked
Originated from RCCe41.xls on CD
rmw
Date
30-Apr-14 Revision
chg
© 1999 BCA for RCC
Page
-
150 Job No
R68
BENDING MOMENTS (kNm) 0
5
10
15
0
500
400
400
300
300
200
200
100
100
0
0
-100
-100
-200
-200
-300
-300
-400
5
Elastic Moments SUPPORT No
Elastic M Redistributed M ßb Redistribution
10
15
Redistributed Envelope
1
2
3
183.4 128.3 0.700 30.0%
382.3 267.6 0.700 30.0%
81.3 81.3 1.000
~ ~ ~
~ ~ ~
~ ~ ~
~ ~ ~
~ ~ ~
~ ~ ~
~ ~ ~
SPAN No
1
2
Elastic M Redistributed M ßb SHEARS (kN)
262.7 323.0 1.230
144.3 139.1 0.964
300
300
200
200
100
100
0
0
-100
-100
-200
-200
-300
-300
-400
kNm/m kNm/m ~
-400 0
5
10
15
0
5
Elastic Shears SPAN No
Redistributed Shears 1
Elastic V Redistributed V
10
2
240.5 241.9
285.8 276.7
240.2 229.6
171.0 163.4
~ ~
~ ~
Elastic V
~
~
~
~
~
~
Redistributed V
~
~
~
~
~
~
SPAN No
COLUMN MOMENTS (kNm ult) 1 ALL SPANS Above 103.1 LOADED Below 67.7 ODD SPANS Above 110.7 LOADED Below 72.6 EVEN SPANS Above 33.5 LOADED Below 22.0
2
3
-33.5 -17.6 -61.1 -32.1 14.3 7.5
-34.3 -22.5 1.2 0.8 -49.1 -32.2
15
Project
Spreadsheets to EC2
Client
Advisory Group
Location
Worked Examples: Main beam Grids C to H
REINFORCED CONCRETE COUNCIL Made by
CONTINUOUS BEAM ANALYSIS & DESIGN to EC2 (DD ENV 1992-1-1 : 1992) Originated from RCCe41.xls on CD
ACTIONS DESIGN
TOP STEEL
BTM STEEL
M d d As As' Layer 1 Layer 2 As prov Layer 1 Layer 2 As' prov
mm mm² mm²
3 0
SHEAR
3 0 mm²
L/d Vsd VRd1 VRd2 s req legs
CHECKS
DESIGN
TOP STEEL
BTM STEEL
CHECKS
% As Cover min S max S Links Main bars max V Deflection
32
2413 37.23
..
2 0
As' prov
25
1473 T
32
1608
R12 @ 125 for 2500
2
2
ok ok ok ok ok ok ok
ok ok ok ok ok ok
ok ok ok ok ok ok ok
LINK Ø
12 NOMINAL
ok
LEFT 249.6 0.81 457.5 1419 74
kNm mm mm² mm²
3 0 3 0 mm² kN kN kN mm No
T
CENTRE 139.1 0.96 457.5 748 0 25
1473
mm²
LINKS
legs
As prov
T
T
2
L/d Vsd VRd1 VRd2 s req
As prov Allowed
339
3 0
340
No
DEFLECTION SHEAR
603 17.70 232.2 66.8 715.4 163
3 0
12
R12 @ 250
kN mm
% As Cover min S max S Links Main bars max V Deflection
M d d As As' Layer 1 Layer 2 As prov Layer 1 Layer 2 As' prov
As' prov 16
T
RIGHT 241.8 0.70 455.5 1341 522
R12 @ 150 for 1950
kN
SPAN 2 ACTIONS
T
3 0
R68
267.0 78.5 708.4 141
kN
LINKS
16
151 Job No
-
CENTRE 323.0 1.23 452.0 1996 0
603
mm²
DEFLECTION
T
Revision
chg
LEFT 113.1 0.70 460.0 596 0
kNm
Page
30-Apr-14
Checked
© 1999 BCA for RCC
SPAN 1
Date
rmw
T
2 0 As' prov
12
339 13.11 219.9 78.7 711.5 132
2 0
As prov Allowed
T
RIGHT 57.5 1.00 464.0 300 0 25
982
3 0 As prov
T
25
982 56.49
..
3 0
As' prov
T
12
339 T
12
339
236
153.7 63.6 721.6 209
R10 @ 125 for 2000
R10 @ 225
R10 @ 200 for 1000
2
2
2
ok ok ok ok ok ok ok
ok ok ok ok ok ok
ok ok ok ok ok ok ok
LINK Ø
10 NOMINAL
ok
Project
Spreadsheets to EC2
Client Location
Advisory Group Worked Examples: Main beam Grids C to H
Made by
REINFORCED CONCRETE COUNCIL
CONTINUOUS BEAM ANALYSIS & DESIGN to EC2 : 1992
Checked
Originated from RCCe41.xls on CD
Date
rmw
© 1999 BCA for RCC
Page
30-Apr-14 Revision
152 Job No
chg
-
R68
APPROXIMATE WEIGHT of REINFORCEMENT Location
TOP STEEL
BOTTOM STEEL
LINKS
SUMMARY
Type
Dia
Length
Unit wt
Weight
Support 1
No
3
T
16
3025
2
14
Span 1
3
T
12
5325
1
14
Support 2
3
T
25
4200
4
49
Span 2
2
T
25
5400
4
42
Support 3
3
T
12
2175
1
6
Support 1
3
T
16
725
2
3
Span 1
3
T
32
7650
6
145
Support 2
3
T
32
1075
6
20
Span 2
2
T
25
5650
4
44
Support 3
3
T
12
675
1
2
Span 1
47
R
12
1500
1
63
Span 2
34
R
10
1500
1
31
spacers not included
Total reinforcement in bay (kg)
433
Reinforcement density (kg/m³)
197.5
Project Location
Spreadsheets to EC2 Worked Examples: Main beam Grids C to H
ANALYSIS TO EC2 I
CONTINUOUS BEAM ANALYSIS & DESIGN to EC2 (DD ENV 1992-1-1 : 1992) Originated from RCCe41.xls on CD
Made by rmw Job No R68 Date 30-Apr-14
© 1999 BCA for RCC
ANALYSIS 1 0.35
Min load Live load
x dead load x dead load +
1.5
x imposed load
(Table 2.2)
Distribution Factors SUPT 1 Up col
Aw Af X bar I Stiffness Sum Factor
6.8E+08 1.9E+08
SUPT 2 R
L
150000 0 250 3.1E+09 3.9E+08 7.1E+08
Lo col
6.8E+08 1.3E+08
L
Lo col
R
150000
150000
150000
0
0
0
0
250 3.1E+09 3.9E+08 1.E+09
250 3.1E+09 5.2E+08
250 3.1E+09 5.2E+08 8.E+08
6.8E+08 1.3E+08
#DIV/0! #DIV/0! 0.0E+00
6.8E+08 1.9E+08
Lo col
6.8E+08 1.0E+08
Up col
0
6.8E+08 1.9E+08
0.27161 0.17825 0.55014 0.32402 0.15997 0.08399 0.43202 0.61985 0.22952 0.15062 SUPT 4 L
Aw Af X bar I Stiffness Sum Factor
SUPT 3 R
Up col
SUPT 5
0
SUPT 6
R
L
R
L
0
0
0
0
0
0
0
0
0
0
0
#DIV/0!
#DIV/0!
#DIV/0!
#DIV/0!
#DIV/0!
#DIV/0!
#DIV/0!
0
0
#DIV/0!
#DIV/0!
0
0
#DIV/0!
0
0
0
0
0
0
0
0
1
0
0
0
3
4
5
6
Up col
Lo col
#DIV/0!
0
0
#DIV/0!
0
0
0
0
0.E+00
Up col
Lo col
0.E+00
1
0
0
0
Up col
R
Lo col
0
0.E+00
1
0
0
0
SUPT 7 L Aw Af X bar I Stiffness Sum Factor
Up col
Lo col
Partial UDL factors
0 0
a b
#DIV/0! #DIV/0!
0
0
0
0
0
0
0
L
R
L
137.6 0 0 0 137.6
825.6 137.6 0 0 0 137.6
169.6 0 0 0 169.6
208.16 0 0 0 208.16
1
2
0 0
0 0
#DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!
0.E+00
0
y2 = 0.3
Fixed End Moments SPAN 1 Min load Cant UDL PL 1 PL 2 part UDL FEM Quasi load Cant UDL PL 1 PL 2 part UDL FEM Live load Cant UDL PL 1 PL 2 part UDL FEM
SPAN 2
SPAN 3
SPAN 4 R
L
SPAN 5 R
L
SPAN 6
R
L
R
L
464.4 77.4 0 0 0 77.4
77.4 0 0 0 77.4
0 0 #DIV/0! #DIV/0! #DIV/0! 0
0 #DIV/0! #DIV/0! #DIV/0! 0
0 0 0 0 0 0 0 0 0 #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! 0 0 0 0 0 0
R
1017.6 169.6 0 0 0 169.6
572.4 95.4 0 0 0 95.4
95.4 0 0 0 95.4
0 0 #DIV/0! #DIV/0! #DIV/0! 0
0 #DIV/0! #DIV/0! #DIV/0! 0
0 0 0 0 0 0 0 0 0 #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! 0 0 0 0 0 0
1248.96 208.16 0 0 0 208.16
702.54 117.09 0 0 0 117.09
117.09 0 0 0 117.09
0 0 #DIV/0! #DIV/0! #DIV/0! 0
0 #DIV/0! #DIV/0! #DIV/0! 0
0 0 0 0 0 0 0 0 0 #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! 0 0 0 0 0 0
Project Location
Spreadsheets to EC2 Worked Examples: Main beam Grids C to H
ANALYSIS TO EC2 II
CONTINUOUS BEAM ANALYSIS & DESIGN to EC2 (DD ENV 1992-1-1 : 1992) Originated from RCCe41.xls on CD
Made by rmw Job No R68 Date 30-Apr-14
© 1999 BCA for RCC
Moment Distribution HiCol Min load
37.3739 2.64902 0.60995 0.2954 0.06802 0.03294
Sum
0.00758 41.0
Quasi Load
46.0655 3.26508 0.7518 0.36409 0.08383 0.0406
Sum
0.00935 50.6
Live on Odd Spans
56.5389 9.15981 2.5196 1.02143 0.28096 0.1139
Sum
0.03133 69.67
SUPT 1
-137.6 75.6995 -9.75294 5.3655 -2.24568 1.23544 -1.08757 0.59832 -0.25042 0.13777 -0.12128 0.06672 -0.02792 0.01536 -68.0 -169.6 93.304 -12.0211 6.61329 -2.76793 1.52275 -1.34049 0.73746 -0.30866 0.1698 -0.14948 0.08224 -0.03442 0.01894 -83.8 -208.16 114.517 -33.7238 18.5529 -9.27643 5.10335 -3.7606 2.06886 -1.03443 0.56908 -0.41935 0.2307 -0.11535 0.06346 -115.38
LoCol
HiCol
24.5266 -9.6303 1.73842 -2.2174 0.40028 -1.0739 0.19385 -0.2473 0.04464 -0.1198 0.02162 -0.0276 0.00498 -0.0134 26.9 -13.3 30.2305
-11.87
2.14271 -2.7331 0.49337 -1.3236 0.23894 -0.3048 0.05502 -0.1476 0.02664
-0.034
0.00614 -0.0165 33.2 -16.4 37.1037
-33.3
6.01113 -9.1598 1.65349 -3.7133 0.67031 -1.0214 0.18438 -0.4141 0.07475 -0.1139 0.02056 -0.0462 45.72 -47.77
SUPT 2
137.6 -19.506 37.8497 -4.4914 2.68275 -2.1751 0.61772 -0.5008 0.29916 -0.2426 0.06888 -0.0558 0.03336 -0.027 152.2 169.6 -24.042 46.652 -5.5359 3.30664 -2.681 0.76138 -0.6173 0.36873 -0.299 0.0849 -0.0688 0.04112 -0.0333 187.5 208.16 -67.448 57.2587 -18.553 9.27643 -7.5212 2.55167 -2.0689 1.03443 -0.8387 0.28454 -0.2307 0.11535 -0.0935 181.93
-77.4 -26.008 -23.988 -5.9885 4.03026 -2.9002 0.92799 -0.6678 0.44942 -0.3234 0.10348 -0.0745 0.05012 -0.0361 -131.8 -95.4 -32.056 -29.567 -7.3811 4.96753 -3.5746 1.1438 -0.8231 0.55394 -0.3986 0.12755 -0.0918 0.06177 -0.0445 -162.5 -89.93 0 -24.737 13.9359 -10.028 3.83335 -2.7585 1.55401 -1.1183 0.42746 -0.3076 0.17329 -0.1247 -109.08
LoCol
HiCol
-5.0559 -17.765 -1.1642
2.9847
-0.5638 0.68724 -0.1298 0.33283 -0.0629 0.07664 -0.0145 0.03711 -0.007 -7.0
0.00855 -13.6
-6.2317 -21.896 -1.4349 3.67881 -0.6949 0.84707 -0.16
0.41023
-0.0775 0.09446 -0.0178 0.04575 -0.0086 0.01053 -8.6 -16.8 -17.482
0
-4.8089 10.3205 -1.9495 2.83887 -0.5362 1.15086 -0.2174 0.31657 -0.0598 0.12833 -0.0242 -25.08
0.0353 14.79
SUPT 3
77.4 -47.977 -13.004 8.06052 -2.9942 1.85598 -1.4501 0.89884 -0.3339 0.20696 -0.1617 0.10023 -0.0372 0.02308 22.6 95.4 -59.134 -16.028 9.93506 -3.6906 2.28761 -1.7873 1.10788 -0.4115 0.2551 -0.1993 0.12354 -0.0459 0.02845 27.8 0 -44.965 27.8717 -12.369 7.6667 -5.0141 3.10803 -1.3792 0.85493 -0.5591 0.34658 -0.1538 0.09533 -24.50
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.00
LoCol
HiCol
-11.658
0
1.95871
0
0.451
0
0.21842
0
0.05029
0
0.02436
0
0.00561 -8.9
0 0.0
-14.37
0
2.41422
0
0.55589
0
0.26921
0
0.06199
0
0.03002
0
0.00691 -11.0
0 0.0
0
0
6.77283
0
1.86301
0
0.75525
0
0.20775
0
0.08422
0
0.02317 9.71
0 0.00
SUPT 4
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.00
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.00
LoCol
HiCol
0
0
0
0
0
0
0
0
0
0
0
0
0 0.0
0 0.0
0
0
0
0
0
0
0
0
0
0
0
0
0 0.0
0 0.0
0
0
0
0
0
0
0
0
0
0
0
0
0 0.00
0 0.00
SUPT 5
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.00
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.00
LoCol
HiCol
0
0
0
0
0
0
0
0
0
0
0
0
0 0.0
0 0.0
0
0
0
0
0
0
0
0
0
0
0
0
0 0.0
0 0.0
0
0
0
0
0
0
0
0
0
0
0
0
0 0.00
0 0.00
SUPT 6
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.00
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.00
LoCol
HiCol
0
0
0
0
0
0
0
0
0
0
0
0
0 0.0
0 0.0
0
0
0
0
0
0
0
0
0
0
0
0
0 0.0
0 0.0
0
0
0
0
0
0
0
0
0
0
0
0
0 0.00
0 0.00
SUPT 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.0
LoCol
0 0 0 0 0 0 0 0 0 0 0 0 0 0.00
0
0 0 0 0 0 0 0 0.0 0 0 0 0 0 0 0 0.0
0 0 0 0 0 0 0.00
Project Location
Spreadsheets to EC2 Worked Examples: Main beam Grids C to H
ANALYSIS TO EC2 III
CONTINUOUS BEAM ANALYSIS & DESIGN to EC2 (DD ENV 1992-1-1 : 1992) Originated from RCCe41.xls on CD
Live on Even Spans
0 -5.1524 -1.5969 -0.5746 -0.1781 -0.0641 -0.0199 -7.6
Sum Live on 1,2,5 & 6
56.5389 4.00742 0.92273 0.44687 0.1029 0.04983
Sum
0.01147 62.1
Live on Spans 2 & 3
0 -5.1524 -1.5969 -0.5746 -0.1781 -0.0641
Sum
-0.0199 -7.59
0 18.9696 -10.436 5.87919 -3.23439 2.11534 -1.16374 0.6556 -0.36067 0.23589 -0.12977 0.07311 -0.04022 12.6 -208.16 114.517 -14.7542 8.11688 -3.39724 1.86896 -1.64526 0.90513 -0.37883 0.20841 -0.18347 0.10093 -0.04224 0.02324 -102.8 0 18.9696 -10.436 5.87919 -3.23439 2.11534 -1.16374 0.6556 -0.36067 0.23589 -0.12977 0.07311 -0.04022 12.56
Made by rmw Job No R68 Date 30-Apr-14
© 1999 BCA for RCC
0 -3.3813 -1.0479 -0.3771 -0.1169 -0.042 -0.013 -5.0 37.1037 2.62987 0.60554 0.29326 0.06753 0.0327 0.00753 40.7 0 -3.3813 -1.0479 -0.3771 -0.1169 -0.042 -0.013 -4.98
18.7312 37.9393 0 5.80528 11.7584 -5.218 2.08875 4.23068 -1.6172 0.64736 1.3112 -0.5819 0.23292 0.47177 -0.1803 0.07219 0.14621 -0.0649 0.02597 0.05261 27.6 48.2 208.16 -14.569 -29.508 57.2587 -3.3545 -6.7945 4.05844 -1.6246 -3.2905 0.93448 -0.3741 -0.7577 0.45256 -0.1812 -0.3669 0.10421 -0.0417 -0.0845 0.05047 -0.0202 -0.0409 -20.2 230.2 18.7312 37.9393 0 5.80528 11.7584 -5.218 2.08875 4.23068 -1.6172 0.64736 1.3112 -0.5819 0.23292 0.47177 -0.1803 0.07219 0.14621 -0.0649 0.02597 0.05261 27.60 48.25
-117.09 50.5857 -36.289 15.6778 -7.8389 5.6409 -2.4295 1.74827 -0.8741 0.62903 -0.2709 0.19495 -0.0975 0.07014 -90.3 -117.09 -39.344 -36.289 -9.0593 6.09694 -4.3874 1.40386 -1.0102 0.67988 -0.4892 0.15655 -0.1127 0.07581 -0.0546 -199.4 -117.09 50.5857 -36.289 15.6778 -7.8389 5.6409 -2.4295 1.74827 -0.8741 0.62903 -0.2709 0.19495 -0.0975 0.07014 -90.34
117.09 9.83386 -26.875 -72.579 25.2929 3.04777 -5.8053 -15.678 7.83892 1.09659 -1.7992 -4.859 2.82045 0.33986 -0.6474 -1.7483 0.87413 0.12228 -0.2006 -0.5418 0.31451 0.0379 -0.0722 -0.195 0.09748 0.01364 -0.0224 -0.0604 14.5 -35.4 58.7 117.09 -7.6486 -26.875 -72.579 -19.672 -1.7611 4.51522 12.1939 -4.5296 -0.8529 1.03966 2.80772 -2.1937 -0.1964 0.5035 1.35976 -0.5051 -0.0951 0.11593 0.31309 -0.2446 -0.0219 0.05615 0.15163 -0.0563 -0.0106 0.01293 0.03491 -10.6 -20.6 34.2 117.09 9.83386 -26.875 -72.579 25.2929 3.04777 -5.8053 -15.678 7.83892 1.09659 -1.7992 -4.859 2.82045 0.33986 -0.6474 -1.7483 0.87413 0.12228 -0.2006 -0.5418 0.31451 0.0379 -0.0722 -0.195 0.09748 0.01364 -0.0224 -0.0604 14.49 -35.42 58.67
0 0 0 0 0 0 0 0 0 0 0 0 0 0.0
-17.637
0
-3.8097
0
-1.1807
0
-0.4248
0
-0.1317
0
-0.0474
0
-0.0147 -23.2
0 0.0
0 0 0 0 0 0 0 0 0 0 0 0 0 0.0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.00
-17.637
0
2.96311
0
0.68228
0
0.33042
0
0.07608
0
0.03685
0
0.00848 -13.5
0 0.0
-17.637
0
-3.8097
0
-1.1807
0
-0.4248
0
-0.1317
0
-0.0474
0
-0.0147 -23.25
0 0.00
0 0 0 0 0 0 0 0 0 0 0 0 0 0.0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.00
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.00
0
0
0
0
0
0
0
0
0
0
0
0
0 0.0
0 0.0
0
0
0
0
0
0
0
0
0
0
0
0
0 0.0
0 0.0
0
0
0
0
0
0
0
0
0
0
0
0
0 0.00
0 0.00
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.0
0 0 0 0 0 0 0 0 0 0 0 0 0 0.0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.0
0 0 0 0 0 0 0 0 0 0 0 0 0 0.00
0 0 0 0 0 0 0 0 0 0 0 0 0 0.00
0
0
0
0
0
0
0
0
0
0
0
0
0 0.0
0 0.0
0
0
0
0
0
0
0
0
0
0
0
0
0 0.0
0 0.0
0
0
0
0
0
0
0
0
0
0
0
0
0 0.00
0 0.00
0 0 0 0 0 0 0 0 0 0 0 0 0 0.0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.0
0 0 0 0 0 0 0 0 0 0 0 0 0 0.00
0 0 0 0 0 0 0 0 0 0 0 0 0 0.00
0
0
0
0
0
0
0
0
0
0
0
0
0 0.0
0 0.0
0
0
0
0
0
0
0
0
0
0
0
0
0 0.0
0 0.0
0
0
0
0
0
0
0
0
0
0
0
0
0 0.00
0 0.00
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.00
0 0 0 0 0 0 0 0.0 0 0 0 0 0 0 0 0.0 0 0 0 0 0 0 0 0.00
Spreadsheets to EC2 Worked Examples: Main beam Grids C to H
Project Location
ANALYSIS TO EC2 IV
CONTINUOUS BEAM ANALYSIS & DESIGN to EC2 (DD ENV 1992-1-1 : 1992) Originated from RCCe41.xls on CD
Live on Spans 3 & 4
Sum Live on Spans 4 & 5
0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -31.026 -62.8424 -20.361 -18.274 -37.012 -49.35 -9.5936 -7.2988 -19.711 -18.5062 -31.421 -9.8557 -24.675 5.02652 10.181 3.29866 6.60316 13.3744 17.8326 3.46666 5.66346 15.2948 -26.0 -71.2 -17.1 -11.7 -55.1 -41.4 -6.1 -1.6 -29.1 0 0 0 0 0 0
Sum
0 0.00
0 0 0 0 0 0 0 0 0 0 0 0 0 0.00
0
0
0
0
0
0
0
0
0
0
0
0
0 0.00
0 0.00
Elastic Support Moments Support
1
Quasi All spans Odd Spans Even Spans 1,2,5,6 2&3 3&4 4&5
83.77 170.787 183.351 55.4032 170.79 55.40 139.13 67.97
Redistribution ßb ßb + Max M Dead only All spans Odd Spans Even Spans 1,2,5,6 2&3 3&4 4&5
0.7 1.3 128.346 67.9672 128.346 128.346 72.0242 128.346 72.0242 128.346 88.3574
Project Location
Made by rmw Job No R68 Date 30-Apr-14
© 1999 BCA for RCC
0 0 0 0 0 0 0 0 0 0 0 0 0 0.00
0 0 0 0 0 0 0 0 0 0 0 0 0 0.00
0
0
0
0
0
0
0
0
0
0
0
0
0 0.00
0 0.00
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.0
0 0 0 0 0 0 0 0 0 0 0 0 0 0.00
0 0 0 0 0 0 0 0 0 0 0 0 0 0.00
0
0
0
0
0
0
0
0
0
0
-4.7899
0
3.71665 -1.1
0 0.0
0
0
0
0
0
0
0
0
0
0
0
0
0 0.00
0 0.00
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.00
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.00
0
0
0
0
0
0
0
0
0
0
0
0
0 0.0
0 0.0
0
0
0
0
0
0
0
0
0
0
0
0
0 0.00
0 0.00
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.00
0 0 0 0 0 0 0 0 0 0 0 0 0 0.0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.00
0
0
0
0
0
0
0
0
0
0
0
0
0 0.0
0 0.0
0
0
0
0
0
0
0
0
0
0
0
0
0 0.00
0 0.00
0 0 0 0 0 0 0 0 0 0 0 0 0 0.0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.00
0 0 0 0 0 0 0 0 0 0 0 0 0 0.0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.00
0
0
0
0
0
0
0
0
0
0
0
0
0 0.0
0 0.0
0
0
0
0
0
0
0
0
0
0
0
0
0 0.00
0 0.00
(2.5.1.2) 2
3
4
5
6
7
Left
Right
Left
Right
Left
Right
Left
Right
Left
Right
187.5 382.3 334.1 200.4 382.3 200.4 97.1 152.2
162.5 331.2 240.9 222.2 331.2 222.2 173.2 131.8
27.8 56.8 -1.9 81.3 56.8 81.3 -6.5 22.6
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0 0 0 0 0 0 0 0
1 1 0 0 0 0 0 0 0 0 0
(2.5.3.4.2) 0.7 1.3 267.63 152.153 131.825 267.63 267.63 267.63 267.63 260.521 267.63 267.63 267.63 260.521 267.63 126.222 225.158 197.799 171.373
method 1 1 1 81.26 22.5879 56.7587 -1.9087 81.2554 56.7587 81.2554 -6.5035 22.5879
1 1 0.00 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0
1 1 0.00 0 0 0 0 0 0 0 0
Spreadsheets to EC2 Worked Examples: Main beam Grids C to H CONTINUOUS BEAM ANALYSIS & DESIGN to EC2 (DD ENV 1992-1-1 : 1992) Originated from RCCe41.xls on CD
© 1999 BCA for RCC
0 0 0 0 0 0 0 0
1 1 0.00 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0
ANALYSIS TO EC2 V Made by rmw Job No R68 Date 30-Apr-14
0 0 0 0 0 0 0 0 0 0 0 0 0 0.0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.00
0 0 0 0 0 0 0 0.0 0 0 0 0 0 0 0 0.00
Total Loads Span
1 UDL
Dead only 206.4 Quasi 254.4 All spans 518.64 Odd Spans 518.64 Even Spans 206.4 1,2,5,6 518.64 2 & 3 206.4 3 & 4 206.4 4 & 5 206.4
2 PL2
ptUD
UDL
PL1
PL2
ptUD
UDL
PL1
PL2
ptUD
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
154.8 190.8 388.98 154.8 388.98 388.98 388.98 154.8 154.8
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
Span
4
Dead only Quasi All spans Odd Spans Even Spans 1,2,5,6 2&3 3&4 4&5
0 0 0 0 0 0 0 0 0
3
PL1
0 0 0 0 0 0 0 0 0
5
6
Elastic Shears
Redistributed Shears
Span
Quasi All spans Odd Spans Even Spans 1,2,5,6 2&3 3&4 4&5
1
114.2 232.9 240.5 85.1 232.9 85.1 108.5 92.7
Span
Quasi All spans Odd Spans Even Spans 1,2,5,6 2&3 3&4 4&5
2
140.2 285.8 278.2 121.3 285.8 121.3 97.9 113.7
117.8 240.2 117.9 218.0 240.2 218.0 107.4 95.6
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
4
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
3
73.0 148.7 36.9 171.0 148.7 171.0 47.4 59.2
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
5
Support
Dead only All spans Odd Spans Even Spans 1,2,5,6 2&3 3&4 4&5
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
Dead only All spans Odd Spans Even Spans 1,2,5,6 2&3 3&4 4&5
6
Imposed Reactions All spans Odd Spans Even Spans 1,2,5,6 2&3 3&4 4&5
Span
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
1
2
3
4
5
6
7
77.9 77.9 -8.7 77.9 -8.7 7.2 -2.1
149.2 99.9 73.0 149.2 73.0 6.4 6.5
53.0 -17.8 55.7 53.0 55.7 -13.6 -4.4
0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0
1
92.7 241.9 241.9 79.6 241.9 79.6 103.5 89.5
Span
2
113.7 276.7 276.7 126.8 276.7 126.8 102.9 116.9
95.6 229.6 122.3 225.6 229.6 225.6 116.0 102.2
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
4
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
3
59.2 159.3 32.5 163.4 159.3 163.4 38.8 52.6
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
5
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
506.4 399.1 352.3 506.4 352.3 218.9 219.1
159.3 32.5 163.4 159.3 163.4 38.8 52.6
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0
6
0.0 0.0 0.0 0.0 0.0 0.0 0.0
Project Location
Spreadsheets to EC2 Worked Examples: Main beam Grids C to H
ANALYSIS TO EC2 VI
CONTINUOUS BEAM ANALYSIS & DESIGN to EC2 (DD ENV 1992-1-1 : 1992) Originated from RCCe41.xls on CD
Made by rmw Job No R68 Date 30-Apr-14
© 1999 BCA for RCC
SPAN MOMENTS SPAN 1 Elastic V Quasi All Odd Even Redist V All Odd Even Elastic X- Quasi All Odd Even Redist X- All Odd Even Elastic M Quasi All Odd Even Redist M All Odd Even SPAN 2 Elastic V Quasi All Odd Even Redist V All Odd Even Elastic X- Quasi All Odd Even Redist X- All Odd Even Elastic M Quasi All Odd Even Redist M All Odd Even
Left
< >
PL1
< >
PL2
< >
Right
114.23 232.877 240.479 85.0753 241.91 241.91 79.6379
114.23 232.877 240.479 85.0753 241.91 241.91 79.6379 0 0 0 0 0 0 0 -83.774 -170.79 -183.35 -55.403 -128.35 -128.35 -72.024
0 0 0 0 0 0 0 0.000 0.000 0.000 0.000 0.000 0.000 0.000 -83.774 -170.79 -183.35 -55.403 -128.35 -128.35 -72.024
114.23 232.877 240.479 85.0753 241.91 241.91 79.6379 0 0 0 0 0 0 0 -83.774 -170.79 -183.35 -55.403 -128.35 -128.35 -72.024
100 100 100 100 100 100 100 3.592 3.592 3.709 3.297 3.731 3.731 3.087 121.39 247.475 262.662 84.8643 322.99 322.99 50.8865
140.17 285.763 278.161 121.325 276.73 276.73 126.762
83.7736 170.787 183.351 55.4032 128.346 128.346 72.0242
0 0 0 0 0 0 0 0.000 0.000 0.000 0.000 0.000 0.000 0.000 -83.774 -170.79 -183.35 -55.403 -128.35 -128.35 -72.024
Left
< >
PL1
< >
PL2
< >
Right
117.84 240.238 117.869 217.976 229.635 122.323 225.552
0 0 0 0 0 0 0 0.000 0.000 0.000 0.000 0.000 0.000 0.000 -162.48 -331.25 -240.91 -222.17 -267.63 -267.63 -267.63
117.84 240.238 117.869 217.976 229.635 122.323 225.552 0 0 0 0 0 0 0 -162.48 -331.25 -240.91 -222.17 -267.63 -267.63 -267.63
0 0 0 0 0 0 0 0.000 0.000 0.000 0.000 0.000 0.000 0.000 -162.48 -331.25 -240.91 -222.17 -267.63 -267.63 -267.63
117.84 240.238 117.869 217.976 229.635 122.323 225.552 0 0 0 0 0 0 0 -162.48 -331.25 -240.91 -222.17 -267.63 -267.63 -267.63
100 100 100 100 100 100 100 3.706 3.706 4.569 3.362 3.542 4.741 3.479 55.8561 113.873 28.3407 144.277 139.067 22.3496 124.734
72.9598 148.742 36.9309 171.004 159.345 32.4769 163.428
162.482 331.249 240.906 222.169 267.63 267.63 267.63
Loadings
31.8 64.83 64.83 25.8 64.83 25.8 25.8 25.8
0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
8
(2.5.3.4.2) Max
187.537 382.328 334.081 200.401 267.63 267.63 260.521
121.39 247.475 262.662 84.8643 d 322.99 1.30514 322.99 1.22968 50.8865 0.59962 Loadings
31.8 64.83 25.8 64.83 64.83 64.83 25.8 25.8
0 0 0 0 0 0 0 0
6
(2.5.3.4.2) Max
27.8409 56.7587 -1.9087 81.2554 56.7587 -1.9087 81.2554
55.8561 113.873 28.3407 144.277 d 139.067 1.22125 22.3496 0.7886 124.734 0.86454
Project Location
Spreadsheets to EC2 Worked Examples: Main beam Grids C to H
ANALYSIS TO EC2 VII
CONTINUOUS BEAM ANALYSIS & DESIGN to EC2 (DD ENV 1992-1-1 : 1992) Originated from RCCe41.xls on CD
Made by rmw Job No R68 Date 30-Apr-14
© 1999 BCA for RCC
SPAN 3 Elastic V Quasi All Odd Even Redist V All Odd Even Elastic X- Quasi All Odd Even Redist X- All Odd Even Elastic M Quasi All Odd Even Redist M All Odd Even
Left
< >
PL1
< >
PL2
< >
Right
0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
100 100 100 100 100 100 100 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
100 100 100 100 100 100 100 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0
100 100 100 100 100 100 100 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0 0 0 0 0 0 0
SPAN 4 Elastic V Quasi All Odd Even Redist V All Odd Even Elastic X- Quasi All Odd Even Redist X- All Odd Even Elastic M Quasi All Odd Even Redist M All Odd Even
Left
< >
PL1
< >
PL2
< >
Right
0 0 0 0 0 0 0
100 100 100 100 100 100 100 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
100 100 100 100 100 100 100 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
100 100 100 100 100 100 100 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0
Loadings
0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0
(2.5.3.4.2) Max
0 0 0 0 0 0 0
0 0 0 0 0 0 0
d
0 0 0
Loadings
0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0
0
(2.5.3.4.2) Max
0 0 0 0 0 0 0
0 0 0 0 0 0 0
d
0 0 0
Project Location
Spreadsheets to EC2 Worked Examples: Main beam Grids C to H
ANALYSIS TO EC2 VIII
CONTINUOUS BEAM ANALYSIS & DESIGN to EC2 (DD ENV 1992-1-1 : 1992) Originated from RCCe41.xls on CD
Made by rmw Job No R68 Date 30-Apr-14
© 1999 BCA for RCC
SPAN 5 Elastic V Quasi All Odd Even Redist V All Odd Even Elastic X- Quasi All Odd Even Redist X- All Odd Even Elastic M Quasi All Odd Even Redist M All Odd Even
Left
< >
PL1
< >
PL2
< >
Right
0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
100 100 100 100 100 100 100 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
100 100 100 100 100 100 100 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0
100 100 100 100 100 100 100 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0 0 0 0 0 0 0
SPAN 6 Elastic V Quasi All Odd Even Redist V All Odd Even Elastic X- Quasi All Odd Even Redist X- All Odd Even Elastic M Quasi All Odd Even Redist M All Odd Even
Left
< >
PL1
< >
PL2
< >
Right
0 0 0 0 0 0 0
100 100 100 100 100 100 100 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
100 100 100 100 100 100 100 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
100 100 100 100 100 100 100 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0
Loadings
0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0
(2.5.3.4.2) Max
0 0 0 0 0 0 0
0 0 0 0 0 0 0
d
0 0 0
Loadings
0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0
0
(2.5.3.4.2) Max
0 0 0 0 0 0 0
0 0 0 0 0 0 0
d
0 0 0
SPAN 1
Spreadsheets to EC2 : Worked Examples: Main beam Grids C to H: to EC2
Project & location
CONTINUOUS BEAM ANALYSIS & DESIGN to EC2 (DD ENV 1992-1-1 : 1992)
Span 8.00 m R beam to EC2
MAIN STEEL M CL M face d d bf x lim x Conc MOR z
h bw hf Ac
kNm kNm mm mm mm mm kNm mm
d' mm net fsc N/mm² Excess M kNm As' req mm² fst N/mm² As req mm² bt mm As min mm² As crack mm² As deflection mm² DEFLECTION CHECK fs N/mm² r % Base ratio Mod factor Perm L/d Actual L/d TENSION STEEL Required mm² Ø1 mm Ø2 mm Max No/layer No 1 = mm² No 2 As prov mm² =% % Clear dist mm Min S mm Max S mm COMPRESSION STEEL Required mm² Ø1 mm Ø2 mm Max No/layer No 1 = mm² No 2 As' prov mm² =% % Clear dist mm Min S mm SHEAR Vsd at face kN rL VRd1 kN VRd2 kN Vsd/VRd2 Vwd kN Asw/s req mm s req mm s max mm s crack mm Link Ø mm Legs @ mm Adjust to mm for (UDL only) mm for (with PL) mm Adjust to mm s trans lim mm s trans mm
500 mm 300 mm 175 mm 150000 LEFT 128.3 113.1 0.700 460.0 300 95.7 59.6 175.6 436.2 40.0 212.0 0.0 0 434.8 596 300 207 245
Originated from RCCe41.xls on CD
Top cover Btm cover Side cover
32 32 32
ok
ok ok ok ok
ok
ok ok ok
ok ok
ok
596 16 0 5 3 603 0 603 0.402 94.0 25.0 133.2 603 16 0 6 3 603 0 603 0.402 94.0 20.0 232.2 0.437% 66.8 715.4 0.325 165.4 1.3896 163 276 200 12 2 163 150 2077 2077 1950 460.0 248.0
mm to main steel mm to main steel mm to main steel
SPAN
.25L
Top steel check 58.6 0.700 462.0 300 94.7 29.9 174.9 438.9 48.0 0.0 0.0 0 434.8 307 300 208 216
280.6
ok
© 1999 BCA for RCC
ok ok ok ok
135.2 1.779 23.00 1.619 37.2 17.7
277.5 1.078 0.00 0.788 0.0 0.0
307 12 0 6 3 339 0 339 0.226 100.0 25.0
ok
ok ok ok
tRd = k= n= Asw/s min =
323.0 1.230 452.0 300 202.5 199.4 326.9 372.3 38.0 416.6 0.0 0 434.8 1996 300 203 230 856
RIGHT 267.6 241.8 0.700 455.5 300 94.7 138.9 172.2 417.6 48.0 327.2 69.6 522 434.8 1341 300 205 245 0
1996 32 0 3 3 2413 0 2413 1.608 70.0 32.0 299.1
ok
ok
ok
ok ok ok ok
ok
ok ok ok
0.35 1 0.54 0.67 Nominal
ok ok
ok
Job No by Date
0.232 97.5 ~~~ 340 273 ~~~ 12 2 273 250 ~~~ ~~~ ~~~ 452.0 248.0
ok ok
ok
1341 25 0 4 3 1473 0 1473 0.982 80.5 25.0 128.1 603 32 0 3 2 1608 0 1608 1.072 172.0 32.0 267.0 1.078% 78.5 708.4 0.377 188.6 1.5998 141 273 200 12 2 141 125 2614 #N/A 2500 455.5 248.0
R68 rmw 30-Apr-14 EC2 Ref
2.5.3.4.2 4.2.1.3.3 4.2.1.3.3 -=Fig 4.4
Fig 4.4 5.4.2.1.1 Equn 5.14 Equn 4.78 4.4.3.2
4.4.3.2 (4) Table 7 (NAD) 4.4.3.2 -=-
5.4.2.1.1
between bars 5.2.1.1 (3) Table 4.12 5.4.2.1
between bars 5.2.1.1 (3)
4.3.2.3 (4.18) (4.19)
(4.23) (5.17-19) Table 4.13
from cl -=from face 5.4.2.2 (9)
SPAN 2
Spreadsheets to EC2 : Worked Examples: Main beam Grids C to H: to EC2
Project & location
CONTINUOUS BEAM ANALYSIS & DESIGN to EC2 (DD ENV 1992-1-1 : 1992)
Span 6.00 m R beam to EC2
MAIN STEEL M CL M face d d bf x lim x Conc MOR z
h bw hf Ac
kNm kNm mm mm mm mm kNm mm
d' mm net fsc N/mm² Excess M kNm As' req mm² fst N/mm² As req mm² bt mm As min mm² As crack mm² As deflection mm² DEFLECTION fs N/mm² r % Base ratio Mod factor Perm L/d Actual L/d TENSION STEEL Required mm² Ø1 mm Ø2 mm Max No/layer No 1 = mm² No 2 As prov mm² =% % Clear dist mm Min S mm Max S mm COMPRESSION STEEL Required mm² Ø1 mm Ø2 mm Max No/layer No 1 = mm² No 2 As' prov mm² =% % Clear dist mm Min S mm SHEAR Vsd at face kN rL VRd1 kN VRd2 kN Vsd/VRd2 Vwd kN Asw/s req mm s req mm s max mm s crack mm Link Ø mm Legs @ mm Adjust to mm for (UDL only) mm for (with PL) mm Adjust to mm s trans lim mm s trans mm
ok
ok
ok ok ok ok
ok
ok ok ok
ok ok
ok
500 mm 300 mm 175 mm 150000 LEFT 267.6 249.6 0.808 457.5 300.0 134.7 143.3 236.6 403.6 36.0 416.6 13.0 74 434.8 1419 300 206 245 0 254.3 1.073 0.00 0.983 0.0 0.0 1419 25 0 4 3 1473 0 1473 0.982 82.5 25.0 157.1 245 12 0 7 3 339 0 339 0.226 102.0 20.0 219.9 1.073% 78.7 711.5 0.309 141.2 1.1928 132 275 300 10 2 132 125 2178 2178 2000 457.5 250.0
Originated from RCCe41.xls on CD
Top cover Btm cover Side cover
30 30 30
© 1999 BCA for RCC
mm to main steel mm to main steel mm to main steel
SPAN
.25L
Top steel check 113.2 0.807941198 457.5 300.0 134.7 60.0 236.6 433.5 42.5 185.9 0.0 0 434.8 600 300 206 179
748 25 0 4 2 982 0 982 0.654 190.0 25.0 308.7
ok ok ok ok
600 25 0 4 2 982 0 982 0.654 190.0 25.0
ok
ok ok ok
131.7
ok
2.5.3.4.2 4.2.1.3.3 4.2.1.3.3 -=Fig 4.4
Fig 4.4 5.4.2.1.1 Equn 5.14 Equn 4.78
4.4.3.2 (4) (NAD) 4.4.3.2 -=-
ok
ok ok ok ok
ok
ok ok ok
Nominal
ok ok
EC2 Ref
Table 7
0.35 1 0.54 0.67 0.200 78.7 ~~~ 236 275 ~~~ 10 2 236 225 ~~~ ~~~ ~~~ 457.5 250.0
R68 rmw 30-Apr-14
4.4.3.2
133.1 0.715 30.06 1.879 56.5 13.1
ok
tRd = k= n= Asw/s min =
RIGHT 81.3 57.5 1.000 464.0 300.0 207.9 29.2 344.5 440.8 36.0 0.0 0.0 0 434.8 300 300 209 245
139.1 0.964 457.5 300.0 191.7 74.7 317.8 427.6 42.5 283.8 0.0 0 434.8 748 300 206 215 195
ok
Job No by Date
ok ok
ok
300 12 0 6 3 339 0 339 0.226 102.0 25.0 323.4 245 12 0 7 3 339 0 339 0.226 102.0 20.0 153.7 0.244% 63.6 721.6 0.213 90.1 0.7507 209 278 300 10 2 209 200 1157 #N/A 1000 464.0 250.0
5.4.2.1.1
between bars 5.2.1.1 (3) Table 4.12 5.4.2.1
between bars 5.2.1.1 (3)
4.3.2.3 (4.18) (4.19)
(4.23) (5.17-19) Table 4.13
from cl -=from face 5.4.2.2 (9)
Spreadsheets to EC2 Worked Examples: Main beam Grids C to H
Project Location
GRAPH DATA I
CONTINUOUS BEAM ANALYSIS & DESIGN to EC2 (DD ENV 1992-1-1 : 1992) Originated from RCCe41.xls on CD
LOADING DIAGRAM X BEAM Dead UDL Imposed UDL part UDL PL 1 PL 2 SUPPORTS GRIDS
0 0 0 0 0 0 0 -57.577 8 -262.7 -323.0
Made by rmw
© 1999 BCA for RCC
-22.9
14.394
SPAN 1
partial UDL
SUPT 1
UDL
0 0 0 0 0 0 0 50.38 8 401.4 281.0
0 0 0 0 0 0 0 0
0 0 25.80 45.80 45.80 45.80 45.8 0 14 -262.7 -323.0
0 0 25.8 45.8 45.8 45.8 45.8 0 14 401.4 281.0
0 0 25.8 45.8 45.8 45.8 45.8 0
0 0 25.8 45.8 45.8 45.8 45.8 0 14 -262.7 -323.0
0 0 25.8 45.8 45.8 45.8 45.8 0 14 401.4 281.0
0 0 25.8 45.8 45.8 45.8 45.8 0
PL1
0 0 25.8 45.8 45.8 45.8 45.8 0 14 -262.7 -323.0
0 0 25.8 45.8 45.8 45.8 45.8 0 14 401.4 281.0
0 0 25.8 45.8 45.8 45.8 45.8 0
PL2
0 0 25.8 45.8 45.8 45.8 45.8 0 14 -262.7 -323.0
0 0 25.8 45.8 45.8 45.8 45.8 0 14 401.4 281.0
8000 0 25.8 45.8 45.8 45.8 45.8 0
8000 0 0 0 0 0 0 -71.971 14 -262.7 -323.0
SUPT 2
8000 0 0 0 0 0 0 50.38 14 401.4 281.0
8000 0 0 0 0 0 0 0
8000 0 25.80 45.80 45.80 45.80 45.8 0
UDL
8000 0 25.8 45.8 45.8 45.8 45.8 0
8000 0 25.8 45.8 45.8 45.8 45.8 0
partial UDL
8000 0 25.8 45.8 45.8 45.8 45.8 0
0 170.79 183.35 55.403 170.79 55.403 139.13 67.967 0 128.35 128.35 72.024 128.35 72.024 128.35 88.357 128.35 38.782 0 128.35 0 100
0.4 82.823 92.346 23.437 82.823 23.437 97.817 32.961 0 36.769 36.769 42.233 36.769 42.233 89.024 54.613 68.472 16.406 0 89.024 0 100
0.8 5.2312 11.714 -4.401 5.2312 -4.401 60.627 2.0818 0 -44.436 -44.436 16.57 -44.436 16.57 53.83 24.998 42.439 -3.0807 -44.436 53.83 0 0.8
1.2 -61.988 -58.546 -28.111 -61.988 -28.111 27.565 -24.669 0 -115.27 -115.27 -4.9653 -115.27 -4.9653 22.763 -0.4904 19.295 -43.391 -115.27 22.763 0 100
1.6 -118.83 -118.43 -47.693 -118.83 -47.693 -1.3694 -47.292 0 -175.73 -175.73 -22.372 -175.73 -22.372 -4.1748 -21.85 -0.9586 -83.184 -175.73 0 0 100
2 -165.31 -167.95 -63.147 -165.31 -63.147 -26.175 -65.786 0 -225.81 -225.81 -35.652 -225.81 -35.652 -26.985 -39.082 -18.323 -117.56 -225.81 0 0 100
2.4 -201.41 -207.09 -74.473 -201.41 -74.473 -46.853 -80.153 0 -265.53 -265.53 -44.803 -265.53 -44.803 -45.667 -52.186 -32.797 -144.96 -265.53 0 0 100
2.8 -227.14 -235.86 -81.672 -227.14 -81.672 -63.404 -90.392 0 -294.87 -294.87 -49.826 -294.87 -49.826 -60.221 -61.162 -44.382 -165.1 -294.87 0 0 100
3.2 -242.49 -254.25 -84.742 -242.49 -84.742 -75.826 -96.502 0 -313.83 -313.83 -50.721 -313.83 -50.721 -70.648 -66.01 -53.078 -177.98 -313.83 0 0 100
3.6 -247.47 -262.27 -83.684 -247.47 -83.684 -84.12 -98.485 0 -322.43 -322.43 -47.488 -322.43 -47.488 -76.946 -66.73 -58.579 -183.59 -322.43 0 0
4 -242.08 -259.92 -78.498 -242.08 -78.498 -88.286 -96.34 0 -320.65 -320.65 -40.127 -320.65 -40.127 -79.116 -63.322 -54.949 -181.95 -320.65 0 0 6
4.4 -226.32 -247.2 -69.184 -226.32 -69.184 -88.324 -90.067 0 -308.5 -308.5 -28.639 -308.5 -28.639 -77.158 -55.786 -48.429 -173.04 -308.5 0 0
4.8 -200.18 -224.11 -55.742 -200.18 -55.742 -84.234 -79.665 0 -285.98 -285.98 -13.022 -285.98 -13.022 -71.072 -44.122 -39.02 -156.87 -285.98 0 0 100
5.2 -163.67 -190.64 -38.172 -163.67 -38.172 -76.016 -65.136 0 -253.08 -253.08 6.7231 -253.08 6.7231 -60.859 -28.33 -26.721 -133.45 -253.08 6.7231 0 100
5.6 -116.79 -146.8 -16.474 -116.79 -16.474 -63.67 -46.479 0 -209.81 -209.81 30.596 -209.81 30.596 -46.517 -8.4096 -11.532 -102.76 -209.81 30.596 0 100
6 -59.537 -92.582 9.3514 -59.537 9.3514 -47.196 -23.693 0 -156.17 -156.17 58.597 -156.17 58.597 -28.047 15.638 6.546 -64.807 -156.17 58.597 0 100
6.4 8.0907 -27.995 39.305 8.0907 39.305 -26.594 3.2198 0 -92.156 -92.156 90.726 -92.156 90.726 -5.4493 43.815 27.514 -19.596 -92.156 90.726 0 100
6.8 86.091 46.965 73.387 86.091 73.387 -1.8641 34.261 0 -17.769 -17.769 126.98 -17.769 126.98 21.277 76.119 60.264 -1.3049 -17.769 126.98 0 6.8
7.2 174.46 132.3 111.6 174.46 111.6 26.994 69.43 0 66.991 66.991 167.37 66.991 167.37 52.13 112.55 122.12 18.896 0 167.37 0 100
7.6 273.21 228 153.93 273.21 153.93 59.98 108.73 0 162.12 162.12 211.88 162.12 211.88 87.112 153.11 191.25 41.986 0 211.88 0 100
8 382.33 334.08 200.4 382.33 200.4 97.094 152.15 0 267.63 267.63 260.52 267.63 260.52 126.22 197.8 267.63 67.966 0 267.63 0 100
0 8 331.25 240.91 222.17 331.25 222.17 173.2 131.83 0 267.63 267.63 267.63 267.63 267.63 225.16 171.37 231.87 92.278 0 267.63 0 100
0.3 8.3 262.1 206.71 159.69 262.1 159.69 142.15 104.3 0 201.66 232.09 202.88 201.66 202.88 191.52 141.87 183.47 73.013 0 232.09 0 100
0.6 8.6 198.78 174.83 103.05 198.78 103.05 113.43 79.106 0 141.52 198.88 143.97 141.52 143.97 160.2 114.7 139.14 55.374 0 198.88 0 100
0.9 8.9 141.29 145.27 52.247 141.29 52.247 87.032 56.229 0 87.214 167.99 90.889 87.214 90.889 131.2 89.844 101.69 36.573 0 167.99 0 100
1.2 9.2 89.641 118.04 7.2756 89.641 7.2756 62.954 35.674 0 38.745 139.42 43.645 38.745 43.645 104.52 67.312 82.627 5.0929 0 139.42 0 100
1.5 9.5 43.825 93.127 -31.861 43.825 -31.861 41.198 17.441 0 -3.8891 113.17 2.2351 -3.8891 2.2351 80.167 47.102 65.189 -22.303 -22.303 113.17 0 100
1.8 9.8 3.8447 70.538 -65.163 3.8447 -65.163 21.764 1.5301 0 -40.689 89.244 -33.34 -40.689 -33.34 58.135 29.213 49.376 -45.614 -45.614 89.244 0 9.8
2.1 10.1 -30.301 50.27 -92.63 -30.301 -92.63 4.6516 -12.059 0 -71.654 67.64 -63.08 -71.654 -63.08 38.425 13.647 35.189 -64.841 -71.654 67.64 0 100
2.4 10.4 -58.613 32.324 -114.26 -58.613 -114.26 -10.138 -23.326 0 -96.784 48.358 -86.985 -96.784 -86.985 21.037 0.4029 22.627 -79.984 -96.784 48.358 0 100
2.7 10.7 -81.089 16.7 -130.06 -81.089 -130.06 -22.607 -32.271 0 -116.08 31.399 -105.06 -116.08 -105.06 5.9712 -10.519 11.69 -91.042 -116.08 31.399 0
3 11 -97.731 3.3986 -140.02 -97.731 -140.02 -32.753 -38.893 0 -129.54 16.761 -117.29 -129.54 -117.29 -6.7729 -19.12 2.379 -98.016 -129.54 16.761 0 3.6
3.3 11.3 -108.54 -7.5812 -144.15 -108.54 -144.15 -40.577 -43.194 0 -137.17 4.4447 -123.69 -137.17 -123.69 -17.195 -25.398 -5.3068 -100.91 -137.17 4.4447 0
3.6 11.6 -113.51 -16.239 -142.44 -113.51 -142.44 -46.079 -45.173 0 -138.96 -5.5493 -124.26 -138.96 -124.26 -25.295 -29.354 -11.367 -99.711 -138.96 0 0 100
3.9 11.9 -112.65 -22.575 -134.9 -112.65 -134.9 -49.259 -44.83 0 -134.92 -13.221 -118.99 -134.92 -118.99 -31.073 -30.988 -15.802 -94.433 -134.92 0 0 100
4.2 12.2 -105.95 -26.588 -121.53 -105.95 -121.53 -50.117 -42.165 0 -125.04 -18.571 -107.89 -125.04 -107.89 -34.529 -30.301 -18.612 -85.07 -125.04 0 0 100
4.5 12.5 -93.42 -28.28 -102.32 -93.42 -102.32 -48.653 -37.178 0 -109.32 -21.599 -90.952 -109.32 -90.952 -35.663 -27.291 -19.796 -71.622 -109.32 0 0 100
4.8 12.8 -75.054 -27.65 -77.272 -75.054 -77.272 -44.867 -29.869 0 -87.777 -22.305 -68.18 -87.777 -68.18 -34.475 -21.959 -19.355 -54.091 -87.777 0 0 100
5.1 13.1 -50.853 -24.698 -46.392 -50.853 -46.392 -38.759 -20.237 0 -60.395 -20.689 -39.573 -60.395 -39.573 -30.965 -14.305 -14.166 -35.597 -60.395 0 0 100
5.4 13.4 -20.817 -19.423 -9.6779 -20.817 -9.6779 -30.329 -8.2843 0 -27.179 -16.751 -5.1318 -27.179 -5.1318 -25.133 -4.3296 -5.799 -21.231 -27.179 0 0 13.4
5.7 13.7 15.054 -11.827 32.871 15.054 32.871 -19.577 5.9908 0 11.873 -10.491 35.144 11.873 35.144 -16.979 7.9682 23.01 -13.704 -16.979 35.144 0 100
6 14 56.759 -1.9087 81.255 56.759 81.255 -6.5035 22.588 0 56.759 -1.9087 81.255 56.759 81.255 -6.5035 22.588 56.879 -4.5525 -6.5035 81.255 0 100
0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 14
0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 100
0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 100
0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 100
0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 100
0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 100
0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 100
0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 100
0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 100
0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 100
0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 100
0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 100
0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 100
0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 100
0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 100
0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 100
0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 100
0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 14
SPAN 3 PL1
8000 0 25.8 45.8 45.8 45.8 45.8 0
8000 0 25.8 45.8 45.8 45.8 45.8 0
8000 0 25.8 45.8 45.8 45.8 45.8 0
MOMENT DIAGRAMS SPAN 1 X M(e) all M(e) odd M(e) even 1,2,5,6 2&3 3&4 4&5 Beam M(r) all M(r) odd M(r) even 1,2,5,6 2&3 3&4 4&5 70% max 70% min Lower bound Upper bound Beam L0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
at col face 0.15 7.85 136.59 340.19 148.01 293.09 42.932 182.49 136.59 340.19 42.932 182.49 123.16 82.692 54.356 135.38 0 0 92.789 226.85 92.789 226.85 60.369 241.8 92.789 226.85 60.369 241.8 113.12 111.07 75.22 180.56 103.61 238.14 30.053 57.885 30.053 57.885 113.12 241.8 0 0
SPAN 2 Local X X M(e) all M(e) odd M(e) even 1,2,5,6 2&3 3&4 4&5 Beam M(r) all M(r) odd M(r) even 1,2,5,6 2&3 3&4 4&5 70% max 70% min Lower bound Upper bound Beam L0
0.15
5.85
295.94 223.52 190.2 295.94 190.2 157.39 117.77 0 233.91 249.57 234.53 233.91 234.53 208.05 156.33 207.16 82.442 82.442 249.57 0
35.177 -7.1581 56.334 35.177 56.334 -13.331 13.999 0 33.586 -6.49 57.471 33.586 57.471 -12.032 14.988 39.434 -9.3315 -12.032 57.471 0
0.15
0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
SPAN 3 Local X X M(e) all M(e) odd M(e) even 1,2,5,6 2&3 3&4 4&5 Beam M(r) all M(r) odd M(r) even 1,2,5,6 2&3 3&4 4&5 70% max 70% min Lower bound Upper bound Beam L0
Job No R68 Date 30-Apr-14
SPAN 2 8000
8000
PL2 8000
8000
0 25.8 45.8 45.8 45.8 45.8 0
0 25.8 45.8 45.8 45.8 45.8 0
0 25.8 45.8 45.8 45.8 45.8 0
0 25.8 45.8 45.8 45.8 45.8 0
SUPT 3 UDL partial UDL PL1 PL2 14000 14000 14000 14000 14000 14000 14000 14000 14000 14000 14000 14000 14000 14000 14000
0 25.8 45.8 45.8 45.8 45.8 0
0 0 0 0 0 0 0 0 0 0 0 0 -57.6 50.38
0 0 0 0 0 0 0
0 0.00 0.00 0.00 0.00 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0
Spreadsheets to EC2 Worked Examples: Main beam Grids C to H
Project Location
GRAPH DATA II
CONTINUOUS BEAM ANALYSIS & DESIGN to EC2 (DD ENV 1992-1-1 : 1992) Originated from RCCe41.xls on CD
Made by rmw
© 1999 BCA for RCC
Job No R68 Date 30-Apr-14
SPAN 4 Local X X M(e) all M(e) odd M(e) even 1,2,5,6 2&3 3&4 4&5 Beam M(r) all M(r) odd M(r) even 1,2,5,6 2&3 3&4 4&5 70% max 70% min Lower bound Upper bound Beam L0
0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 14
0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 100
0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 100
0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 100
0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 100
0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 100
0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 100
0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 100
0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 100
0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 100
0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 100
0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 100
0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 100
0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 100
0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 100
0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 100
0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 100
0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 14
0
0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 14
0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 100
0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 100
0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 100
0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 100
0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 100
0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 100
0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 100
0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 100
0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 100
0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 100
0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 100
0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 100
0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 100
0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 100
0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 100
0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 100
0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 14
0
0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 14
0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 100
0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 100
0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 100
0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 100
0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 100
0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 100
0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 100
0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 100
0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 100
0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 100
0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 100
0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 100
0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 100
0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 100
0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 100
0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 100
0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 14
0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0
0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 232.9 240.5 85.1 232.9 85.1 108.5 92.7 241.9 241.9 79.6 241.9 79.6 103.5 89.5 0
0 0 232.9 240.5 85.1 232.9 85.1 108.5 92.7 241.9 241.9 79.6 241.9 79.6 103.5 89.5 0
0 0 232.9 240.5 85.1 232.9 85.1 108.5 92.7 241.9 241.9 79.6 241.9 79.6 103.5 89.5 0
0 0 232.9 240.5 85.1 232.9 85.1 108.5 92.7 241.9 241.9 79.6 241.9 79.6 103.5 89.5 0
8 8 -285.8 -278.2 -121.3 -285.8 -121.3 -97.9 -113.7 -276.7 -276.7 -126.8 -276.7 -126.8 -102.9 -116.9 0
0 8 240.2 117.9 218.0 240.2 218.0 107.4 95.6 229.6 122.3 225.6 229.6 225.6 116.0 102.2 0
0 8 240.2 117.9 218.0 240.2 218.0 107.4 95.6 229.6 122.3 225.6 229.6 225.6 116.0 102.2 0
0 8 240.2 117.9 218.0 240.2 218.0 107.4 95.6 229.6 122.3 225.6 229.6 225.6 116.0 102.2 0
0 8 240.2 117.9 218.0 240.2 218.0 107.4 95.6 229.6 122.3 225.6 229.6 225.6 116.0 102.2 0
6 14 -148.7 -36.9 -171.0 -148.7 -171.0 -47.4 -59.2 -159.3 -32.5 -163.4 -159.3 -163.4 -38.8 -52.6 0
0 14 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0
0 14 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0
0 14 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0
0 14 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0
0 14 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0
0 14 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0
0 14 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0
0 14 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0
0 14 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0
0 14 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0
SPAN 5 Local X X M(e) all M(e) odd M(e) even 1,2,5,6 2&3 3&4 4&5 Beam M(r) all M(r) odd M(r) even 1,2,5,6 2&3 3&4 4&5 70% max 70% min Lower bound Upper bound Beam L0
SPAN 6 Local X X M(e) all M(e) odd M(e) even 1,2,5,6 2&3 3&4 4&5 Beam M(r) all M(r) odd M(r) even 1,2,5,6 2&3 3&4 4&5 70% max 70% min Lower bound Upper bound Beam L0
SHEAR FORCE DIAGRAMS SPAN 1 Local X X V(e) all V(e) odd V(e) even 1,2,5,6 2&3 3&4 4&5 V(r) all V(r) odd V(r) even 1,2,5,6 2&3 3&4 4&5 Beam
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 232.9 240.5 85.1 232.9 85.1 108.5 92.7 241.9 241.9 79.6 241.9 79.6 103.5 89.5 0
SPAN 2
0 8 240.2 117.9 218.0 240.2 218.0 107.4 95.6 229.6 122.3 225.6 229.6 225.6 116.0 102.2 0
SPAN 3
0 14 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0
SPAN 4
SPAN 5
0 14 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0
0 14 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0
0 14 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0
0 14 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0
0 14 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0
SPAN 6
0 14 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0
0 14 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0
0 14 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0
0 14 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0
0 14 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0
0 14 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0
0 14 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0
0 14 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0
0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
Project
Spreadsheets to EC2
LocationWorked Examples: Main beam Grids C to H CONTINUOUS BEAM ANALYSIS & DESIGN to EC2 (DD ENV 1992-1-1 : 1992) Originated from RCCe41.xls on CD
GRAPH DATA III Made by rmw
© 1999 BCA for RCC
LOADING DIAGRAM cont
SPAN 4
Job No R68 Date 30-Apr-14
SPAN 5
SPAN 6
SUPT 4 UDL partial UDL PL1 PL2 SUPT 5 UDL partial UDL PL1 PL2 SUPT 6 UDL partial UDL PL1 PL2 SUPT 7 14000 14000 14000 14000 14000 14000 14000 14000 14000 14000 14000 14000 14000 14000 14000 14000 14000 14000 14000 14000 14000 14000 14000 14000 14000 14000 14000 14000 14000 14000 14000 14000 14000 14000 14000 14000 14000 14000 14000 14000 14000 14000 14000 14000 14000 14000 14000 14000 14000
0 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0.00 0.00 0.00 0.00 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0.00 0.00 0.00 0.00 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0.00 0.00 0.00 0.00 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0
Project Location
Spreadsheets to EC2 Worked Examples: Main beam Grids C to H EC2/NAD BOXED VALUES
used in
CONTINUOUS BEAM ANALYSIS & DESIGN to EC2 : 1992 Originated from RCCe41.xls on CD
EC2 Ref Table 2.2
Function gG
Value 1.35
Table 2.2
gQ
1.5
Table 2.3
gc
1.5
Table 2.3
gs
Table 4.8 4.2.1.3 (12) 4.4.2.2 (3)
4.3.2.3 (1) 4.3.2.3 (1) 4.3.4.5.2 (1) 4.3.4.5.2 (1) Equn 4.58 5.4.2.1.1 5.4.2.1.1 5.4.2.1.1 (2)
5.4.2.2 (9) 5.4.3.2.1 (4) 5.4.3.2.1 (4) 5.4.3.3 (2)
Made by rmw Job No R68 Date 30-Apr-14
© 1999 BCA for RCC
TABLE 1 (NAD) y0
y1
y2
1
0.5
0.4
0.2
1.15
2
0.7
0.6
0.3
fck max a fct eff k rL vRd2/vRd1
40 0.85 3 1 0.02 2.0
3
0.7
0.7
0.6
vRd2/fck change at Equn 5.14 Equn 5.14 As/Ac max s max S max S/h max % of Tab 5.5
0.9 1.6 0.6 0.0015 0.04 800 500 3 100%
TABLE 7 (NAD) = Table 4.14 0 0.15 0.5 1 34 25 2 44 32
1.5 18 23
3 4 5
38 41 14
35 30 10
25 21 7
TABLE 4.8 20 0.26
25 0.3
30 0.34
35 0.37
40 0.41
Disclaimer All advice or information from the British Cement Association and/or Reinforced Concrete Council is intended for those who will evaluate the significance and limitations of its contents and take responsibility for its use and application. No liability (including that for negligence) for any loss resulting from such advice or information is accepted by the BCA, RCC or their subcontractors, suppliers or advisors. Users should note that all BCA software and publications are subject to revision from time to time and should therefore ensure that they are in possession of the latest version. This spreadsheet should be used in compliance with the accompanying publication 'Spreadsheets for concrete design to BS 8110 and EC2' available from British Cement Association, Telford Avenue, Crowthorne, Berkshire RG45 6YS.
Status of spreadsheet Public release version. Revision history RCC11E Element Design
Date
Version
09-Aug-99 RCCe11 v1.0
Action
Size (kB)
First public release. Includes b version comments
1670
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