Influence Lines

INFLUENCE LINES IN CONTINUOUS BEAMS

Number of Spans ( <=10 ):

4

No. of Sections in Span (<=30):

10

Required Section Location
Span No.
Distance from beginning of span:

Span No.
Span
Length:
Stiffness
EI 0
0

1

2

3

4

60

90

60

80

1000
60
0

1000
150
0

1000
210
0

1000
290
0

2
24

Continuous Beam Influence Lines
1
0.8
0.6
0.4

0.2
0
-0.2

0

50

100

150

200

-0.4

X-Global
0
6
12
18
24
30
36
42
48
54
60
60
69
78
84
84.00001
96
105
114

250
2

RESULTS
Span
X-Local
1
0
6
12
18
24
30
36
42
48
54
60
2
0
9
18
24
24.00001
36
45
54

Moment
0
-0.85202
-1.6524
-2.34951
-2.8917
-3.22735
-3.3048
-3.07243
-2.4786
-1.47167
0
0
3.14489
7.34416
10.6764
10.6764
6.47597
4.19357
2.5357

Shear
0
0.019137
0.037114
0.052771
0.064949
0.072488
0.074227
0.069008
0.055671
0.033054
0
0
-0.07015
-0.16109
-0.23065
0.769352
0.615895
0.49444
0.37343

Maximum Value:
Deflect. Minimum Value:
0
Positive Area:
-0.46261 Negative Area:
-0.89719
Total Area:
-1.27569
-1.57008
-1.75232
-1.79437
-1.66821
-1.34578
-0.79906
0
0
1.623794
3.317564
4.208653
4.208655
4.959605
4.753661
4.075264

Moment
10.676
-3.3048
333.54
-135.34
198.2

Shear
0.7694
-0.2306
27.577
-4.8638
22.713

123
132
141
150
150
156
162
168
174
180
186
192
198
204
210
210
218
226
234
242
250
258
266
274
282
290

3

4

63
72
81
90
0
6
12
18
24
30
36
42
48
54
60
0
8
16
24
32
40
48
56
64
72
80

1.39487
0.66362
0.23448
0
0
-0.09673
-0.15942
-0.19277
-0.20149
-0.19028
-0.16385
-0.1269
-0.08414
-0.04027
0
0
0.04207
0.07085
0.08783
0.09447
0.09226
0.08266
0.06716
0.04724
0.02436
0

0.258173
0.153977
0.06615
0
0
-0.02994
-0.04934
-0.05967
-0.06237
-0.0589
-0.05071
-0.03928
-0.02604
-0.01246
0
0
0.013021
0.021931
0.027185
0.029241
0.028556
0.025586
0.020789
0.014621
0.007539
0

3.092556
1.973682
0.886782
0
0
-0.40859
-0.67339
-0.81426
-0.85109
-0.80374
-0.6921
-0.53602
-0.3554
-0.1701
0
0
0.1777
0.299285
0.370988
0.399046
0.389694
0.349165
0.283697
0.199523
0.102879
0

290
0

Deflect
4.9596
-1.7944
283.06
-101.22
181.84

290
0

290
0

290
0

290
0

290
0

Stiffness Matrix

1
2
3

Bending Moment
Shear Force
Deflections

[d]
1
0.05
0.015
0

2
3
0.015
0
0.05
0.01
0.01 0.046667

Load Vector [Dp]
Point load in span
Distance from the beginning of span:
-X(L-X)/(6LEI):

[Dp]

0
0

[Msup]

0
0

0
0

Section in span
Distance from the beginning of span:
Mp
0
M=

2
0

3
0

2
0

3
0

#N/A

Moment in simple beam under Point load:
Msimple=
0

#N/A
2
24

0

Vp
0
V=

1
0

4
80
0

1
0
0

Simple span moments in statically determined structure
1
2
3
4
0
0
0
0

Defined Ranges
D_IL =OFFSET(X_Global,,5)
deltaP =OFFSET(p1x10,0,0,1,Nspans-1)
DiagramLink =Input!$I$13
EI =Input!$G$5:$P$5
InfluenceLine =CHOOSE(DiagramLink,M_IL,V_IL,D_IL)
L =Input!$G$4:$P$4
LoadSpan =Solver!$E$17

#N/A

#N/A

#N/A

LoadX
M_IL
m10x10
matrix
Moment
Msimple
Msup
Nsections
Nspans
p1x10
SectionSpan
SectionX
Shear
V_IL
X
X_Global
X_Global_Big
XGLOBAL
XLoc1

=Solver!$E$18
=OFFSET(X_Global,,3)
=Solver!$B$6:$J$14
=OFFSET(m10x10,0,0,Nspans-1,Nspans-1)
=Solver!$B$30
=Solver!$H$18
=Solver!$B$22:$J$22
=Input!$D$5
=Input!$D$4
=Solver!$B$21:$J$21
=Solver!$E$24
=Solver!$E$25
=Solver!$B$35
=OFFSET(X_Global,,4)
=Solver!$E$18
=OFFSET(X_Global_Big,,,COUNT(X_Global_Big))
=Input!$A$18:$A$848
=Input!$A$18:$A$61
=Input!$C$17

am under Point load:

#N/A