Hoja1METODO DE LA RIGIDEZW12.52.5W2DATOS:MW1=4Tn/mW2=6Tn/m6510L1=6mL2=5mL3=10mTRAMO ABb=0.30mM=3Tn*m0.50h=0.50mL2/2=2.5mI=0.003125m4E=2173706.51Tn/mEI=6792.8328497763Tn*m3f'c=210kg/cm20.30

TRAMO BCb=0.30m0.40h=0.42=0.40mI=0.0016m4EI=3477.9304190855Tn*m30.30

TRAMO CDb=0.30m0.85h=0.83=0.85mI=0.015353125m4EI=33373.187790951Tn*m30.30

1. GRADOS DE LIBERTAD DE LA VIGA

123N.N=4N.R=9G.L=32. CALULO DE LAS RIGIDESESBCK11==7310.8995684526K21==1391.1721676342K31=0CDK12==1391.1721676342K22==16131.6194516488K32==6674.6375581902

CDK13=0K23==6674.6375581902K33==13349.27511638043. MATRIZ DE RIGIDEZ

7310.89956845261391.172167634201391.172167634216131.61945164886674.637558190206674.637558190213349.2751163804

4. MATRIZ INVERSA DE RIGIDEZ0.000139672-0.00001518710.0000075935-0.00001518710.0000798111-0.00003990560.0000075935-0.00003990560.0000948632

5. CALCULO DE LOS MOMENTOS DE EMPOTRAMIENTOTRAMO A-BW1MEP=6MEP=12TRAMO B-CMEP=2.52.5MEP=0.75M5

TRAMO C-DMEP=W2

MEP=5010

12-120.75-0.7550-50

M.E.P. A1=12M.E.P. B1=-12M.E.P. B2=0.75M.E.P. C1=-0.75M.E.P. C2=50M.E.P. D1=-50

5. MATRIZ DE MOMENTO TRAMO A-B

MEXT=0

TRAMO B-C

MEXT=011.25-49.25TRAMO C-D50

MEXT=06. CALCULO DE A=0B=0.0026989487C=-0.006096832D=0.00679393787. CALCULO DE LOS MOMENTOS ABMA=18.1111691814OKABMB1=0.2223383628BCMB2-0.2223384OK

BC

MC1-13.9587838

CD

MC213.9587838OK

CD

MD0.0000000OK8. CALCULO DE LAS REACCIONES ISOSTATICASTRAMO A-B

W1 MA=0 MB=0

L1*RB - L1*W1*(L1/2) =0L1*W1*(L1/2)+L1*VA=06RB=12TnVA=12TnTRAMO B-C2.52.5 MB=0 MC=0ML2*RC+M=0M-L2*RB=05RC=-0.60TnRB=0.60TnTRAMO C-DW2 MC=0 MD=010L3*RD-L3*W2(10/2)=0L3*W2(L3/2)-L3*RC=0RD=30TnRC=30Tn3. CALCULO DE LAS REACCIONES HIPERESTATICASTRAMO A-BR'1=(MA-MB)/L1R'1=3.06

TRAMO B-CR'2=(MB-MC)/L2R'2=-2.84TRAMO C-DR'3=(MC-MD)/L3R'3=1.404. CALCULO DE LAS REACCIONES FINALES

REAC. ISOS12.0012.000.60-0.6030.0030.00REAC. HIPER.3.06-3.06-2.842.841.40-1.40REAC. TOTAL15.068.94-2.242.2431.4028.60

RA=15.06TnRB=6.71TnRC=33.63TnRD=28.60Tn5. DIAGRAMA DE FUERZA CORTANTEREACCION DXY200.002028.60

CORTE 1-1XY=RD-W2*XX12028.6001922.6011816.6021710.603164.60415-1.40514-7.40613-13.40712-19.40811-25.40910-31.4010

REACCION CXY10-31.40102.24

CORTE 2-2XY=RC-31.40102.2492.2482.2472.2462.24

REACCION BXY62.2468.94CORTE 3-3XY=W1*X-RA68.9454.9440.943-3.062-7.061-11.060-15.06

REACCION AXY0-15.0600.00

DIAGRAMA DE FUERZA CORTANTE GENERAL

XY200.002028.601922.601816.601710.60164.6015-1.4014-7.4013-13.4012-19.4011-25.4010-31.40102.2492.2482.2472.2462.2468.9454.9440.943-3.062-7.061-11.060-15.0600.00

6. DIAGRAMA DE MOMENTO FLEXIONANTE

28.60L3-YYY=4.7731.40L3-Y=5.23

2.245

8.94L1-ZZZ=2.2415.06L3-Z=3.76

XAREA20015.2368.1810.00-13.9660.223.7610.220.00-18.110.000.00

ABCD2EI/L14EI/L14EI/L22EI/L22EI/L24EI/L24EI/L32EI/L32EI/L22EI/L34EI/L3-1-1VARBRBRCRCRD4EI/L12EI/L12EI/L14EI/L12EI/L24EI/L22EI/L22EI/L22EI/L24EI/L22EI/L24EI/L32EI/L32EI/L22EI/L34EI/L3