INFLUENCE LINES IN CONTINUOUS BEAMS

Span No. 1 2 3 4

Number of Spans (

105 45 4.193575 0.49444 4.753661114 54 2.535697 0.37343 4.075264123 63 1.394867 0.258173 3.092556132 72 0.663618 0.153977 1.973682141 81 0.234484 0.06615 0.886782150 90 0 0 0150 3 0 0 0 0156 6 -0.09673 -0.029941 -0.408594162 12 -0.15942 -0.049344 -0.67339168 18 -0.19277 -0.059667 -0.814265174 24 -0.20149 -0.062366 -0.851091180 30 -0.19028 -0.058896 -0.803743186 36 -0.16385 -0.050715 -0.692096192 42 -0.1269 -0.039278 -0.536024198 48 -0.08414 -0.026043 -0.355401204 54 -0.04027 -0.012465 -0.170101210 60 0 0 0210 4 0 0 0 0218 8 0.042069 0.013021 0.1777226 16 0.070853 0.021931 0.299285234 24 0.087829 0.027185 0.370988242 32 0.094471 0.029241 0.399046250 40 0.092257 0.028556 0.389694258 48 0.082662 0.025586 0.349165266 56 0.067163 0.020789 0.283697274 64 0.047236 0.014621 0.199523282 72 0.024356 0.007539 0.102879290 80 0 0 0

290 290 290 290 290 2900 0 0 0 0 0

Deflect4.9596

-1.7944######

181.84

0 50 100 150 200 2500

0.10.20.30.40.50.60.70.80.9

1Continuous Beam Influence Lines

Bending MomentShear ForceDeflections

1 2 31 0.05 0.015 02 0.015 0.05 0.013 0 0.01 0.046667

Point load in span 4 Moment in simple beam under Point load:Distance from the beginning of span: 80 Msimple= 0

-X(L-X)/(6LEI): 0

0 0 0[Msup] 0 0 0 #N/A #N/A #N/A #N/A #N/A #N/A

Section in span 2Distance from the beginning of span: 24

Mp 1 2 30 0 0 0

M = 0

Vp 1 2 30 0 0 0

V = 0

Simple span moments in statically determined structure1 2 3 40 0 0 0

Defined RangesD_IL =OFFSET(X_Global,,5)

deltaP =OFFSET(p1x10,0,0,1,Nspans-1)DiagramLink =Input!$I$13

EI =Input!$G$5:$P$5InfluenceLine =CHOOSE(DiagramLink,M_IL,V_IL,D_IL)

L =Input!$G$4:$P$4

Stiffness Matrix [

Load Vector [p]

[p]

LoadSpan =Solver!$E$17LoadX =Solver!$E$18

M_IL =OFFSET(X_Global,,3)m10x10 =Solver!$B$6:$J$14

matrix =OFFSET(m10x10,0,0,Nspans-1,Nspans-1)Moment =Solver!$B$30Msimple =Solver!$H$18

Msup =Solver!$B$22:$J$22Nsections =Input!$D$5

Nspans =Input!$D$4p1x10 =Solver!$B$21:$J$21

SectionSpan =Solver!$E$24SectionX =Solver!$E$25

Shear =Solver!$B$35V_IL =OFFSET(X_Global,,4)

X =Solver!$E$18X_Global =OFFSET(X_Global_Big,,,COUNT(X_Global_Big))

X_Global_Big =Input!$A$18:$A$848XGLOBAL =Input!$A$18:$A$61XLoc1 =Input!$C$17

InputSolver

List Box 8: Bending MomentList Box 8_2: Bending Moment