trabajo de analisis estructural ii
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UNIVERSIDAD NACIONAL DE CAJAMARCA
TRABAJO DE ANALISIS ESTRUCTURAL II
Se tiene un pórtico de 04 niveles
METODO KANY
SE PIDE:
DIAGRAMA DE MOMENTOS FLECTORES
DIAGRAMA DE FUERZAS CORTANTES
CONSIDERAR DIMENSIONAMIENTO DE VIGAS (h=L/11 ; b=25)
CONSIDERAR COLUMNAS :
1er. Y 2do nivel de 30x35
3er. Y 4to nivel de 30x30
ING. LINO CANCINO COLICHON ANALISIS ESTRUCTURAL II
UNIVERSIDAD NACIONAL DE CAJAMARCA
DESARROLLO
Para la atura de la vigas se ha considerado la luz de mayor longitud (L=6.75)
Entonces h=l11
=6.7511
=0.614m
Consideramos h=0.65m, por lo tanto tenemos las vigas de .25x.65 m.
1) ENUMERANDO NUDOS
ING. LINO CANCINO COLICHON ANALISIS ESTRUCTURAL II
UNIVERSIDAD NACIONAL DE CAJAMARCA
2) HALLANDO LOS MEP EN CADA TRAMO
M 1−2=−W L2
12=−7.4 Tn/m∗¿¿
Donde
M 1−2=M 5−6=M 9−10=M 13−14=M 3−4=M 7−8=M 11−12=M 15−16=−20.389Tn−m
M 2−1=−W L2
12=7.4Tn /m∗¿¿
M 2−1=M 6−5=M 10−9=M 14−13=M 4−3=M 8−7=M 12−11=M 16−15=20.389Tn−m
M 2−3=−W L2
12− PL8
M 2−3=M 6−7=M 10−11=M 14−15=−7.4Tnm
∗¿¿
ING. LINO CANCINO COLICHON ANALISIS ESTRUCTURAL II
UNIVERSIDAD NACIONAL DE CAJAMARCA
M 3−2=W L2
12+PL8
M 3−2=M 7−6=M 11−10=M 15−14=7.4Tnm
∗¿¿
3) CALCULANDO LOS “ K”
DETERMINADO LAS INERCIAS
INERCIAVIGA=b h3
12=25∗(65)3
12=572135.417 cm4
INERCIAc olumna1 ro,2do piso=b h3
12=30∗(35)3
12=107187.5cm4
INERCIAcolumna3 ro ,4¿ piso ¿=bh3
12=30∗(30)3
12=67500cm4
PARA VIGAS DEL PORTICO “17-18” Y “19-20”
K=572135.417 c m4
575cm=995.018cm3
PARA VIGAS DEL PORTICO “ 18-19”
K=572135.417cm4
675cm=847.608cm3
PARA LAS COLUMNAS DEL 3ER. Y 4TO. PISO
ING. LINO CANCINO COLICHON ANALISIS ESTRUCTURAL II
K= IL
UNIVERSIDAD NACIONAL DE CAJAMARCA
K=67500cm4
280cm=241.071cm3
PARA LAS COLUMNAS DEL 2DO. PISO
K=107187.5cm4
280cm=382.813cm3
PARA LAS COLUMNAS DEL 1ER. PISO
K=107187.5cm4
400cm=267.969cm3
4) DETERMINANDO LOS COEFICIENTES DE REPARTICION
ING. LINO CANCINO COLICHON ANALISIS ESTRUCTURAL II
UNIVERSIDAD NACIONAL DE CAJAMARCA
C IJ=
−12
∗(K IJ)
∑K
NUDO 1
C1−2=
−12
∗995.018
(995.018+241.071 )=−0.40
C1−5=
−12
∗241.071
(995.018+241.071 )=−0.10
NUDO 2
C2−1=
−12
∗995.018
(995.018+241.071+847.608 )=−0.24
C2−6=
−12
∗241.071
(995.018+241.071+847.608 )=−0.06
C2−3=
−12
∗847.608
(995.018+241.071+847.608 )=−0.20
NUDO 3
C3−2=
−12
∗847.608
(995.018+241.071+847.608 )=−0.20
C3−7=
−12
∗241.071
(995.018+241.071+847.608 )=−0.06
ING. LINO CANCINO COLICHON ANALISIS ESTRUCTURAL II
UNIVERSIDAD NACIONAL DE CAJAMARCA
C3−4=
−12
∗995.018
(995.018+241.071+847.608 )=−0.24
NUDO 4
C4−3=
−12
∗995.018
(995.018+241.07 )=−0.40
C4−8=
−12
∗241.071
(995.018+241.071 )=−0.10
NUDO 5
C5−1=
−12
∗241.071
(995.018+241.071+241.071 )=−0.08
C5−9=
−12
∗241.071
(995.018+241.071+241.071 )=−0.08
C5−6=
−12
∗995.018
(995.018+241.071+241.071 )=−0.34
NUDO 6
C6−2=
−12
∗241.071
(995.018+241.071+241.071+847.608 )=−0.05
C6−10=
−12
∗241.071
(995.018+241.071+241.071+847.608 )=−0.05
C6−5=
−12
∗995.018
(995.018+241.071+241.071+847.608 )=−0.22
ING. LINO CANCINO COLICHON ANALISIS ESTRUCTURAL II
UNIVERSIDAD NACIONAL DE CAJAMARCA
C6−2=
−12
∗847.608
(995.018+241.071+241.071+847.608 )=−0.18
NUDO 7
C7−3=
−12
∗241.071
(995.018+241.071+241.071+847.608 )=−0.05
C7−11=
−12
∗241.071
(995.018+241.071+241.071+847.608 )=−0.05
C7−8=
−12
∗995.018
(995.018+241.071+241.071+847.608 )=−0.22
C7−6=
−12
∗847.608
(995.018+241.071+241.071+847.608 )=−0.18
NUDO 8
C8−4=
−12
∗241.071
(995.018+241.071+241.071 )=−0.08
C8−12=
−12
∗241.071
(995.018+241.071+241.071 )=−0.08
C8−7=
−12
∗995.018
(995.018+241.071+241.071 )=−0.34
NUDO 9
C9−5=
−12
∗241.071
(995.018+241.071+382.813 )=−0.07
ING. LINO CANCINO COLICHON ANALISIS ESTRUCTURAL II
UNIVERSIDAD NACIONAL DE CAJAMARCA
C9−10=
−12
∗995.018
(995.018+241.071+382.813 )=−0.31
C9−13=
−12
∗382.813
(995.018+241.071+382.813 )=−0.12
NUDO 10
C10−6=
−12
∗241.071
(995.018+241.071+382.813+847.608 )=−0.05
C10−9=
−12
∗995.018
(995.018+241.071+382.813+847.608 )=−0.20
C10−11=
−12
∗847.608
(995.018+241.071+382.813+847.608 )=−0.17
C10−14=
−12
∗382.813
(995.018+241.071+382.813+847.608 )=−0.08
NUDO 11
C11−7=
−12
∗241.071
(995.018+241.071+382.813+847.608 )=−0.05
C11−12=
−12
∗995.018
(995.018+241.071+382.813+847.608 )=−0.20
C11−10=
−12
∗847.608
(995.018+241.071+382.813+847.608 )=−0.17
C11−15=
−12
∗382.813
(995.018+241.071+382.813+847.608 )=−0.08
NUDO 12
ING. LINO CANCINO COLICHON ANALISIS ESTRUCTURAL II
UNIVERSIDAD NACIONAL DE CAJAMARCA
C12−8=
−12
∗241.071
(995.018+241.071+382.813 )=−0.07
C12−11=
−12
∗995.018
(995.018+241.071+382.813 )=−0.31
C12−16=
−12
∗382.813
(995.018+241.071+382.813 )=−0.12
NUDO 13
C13−9=
−12
∗382.813
(995.018+267.969+382.813 )=−0.12
C13−14=
−12
∗995.018
(995.018+267.969+382.813 )=−0.30
C13−17=
−12
∗267.969
(995.018+267.969+382.813 )=−0.08
NUDO 14
C14−10=
−12
∗382.813
(995.018+267.969+382.813+847.608 )=−0.08
C14−13=
−12
∗995.018
(995.018+267.969+382.813+847.608 )=−0.20
C14−15=
−12
∗847.608
(995.018+267.969+382.813+847.608 )=−0.17
C14−18=
−12
∗267.969
(995.018+267.969+382.813+847.608 )=−0.05
NUDO 15
ING. LINO CANCINO COLICHON ANALISIS ESTRUCTURAL II
UNIVERSIDAD NACIONAL DE CAJAMARCA
C15−11=
−12
∗382.813
(995.018+267.969+382.813+847.608 )=−0.08
C15−16=
−12
∗995.018
(995.018+267.969+382.813+847.608 )=−0.20
C15−14=
−12
∗847.608
(995.018+267.969+382.813+847.608 )=−0.17
C15−19=
−12
∗267.969
(995.018+267.969+382.813+847.608 )=−0.05
NUDO 16
C16−12=
−12
∗382.813
(995.018+267.969+382.813 )=−0.12
C16−15=
−12
∗995.018
(995.018+267.969+382.813 )=−0.30
C16−20=
−12
∗267.969
(995.018+267.969+382.813 )=−0.08
ING. LINO CANCINO COLICHON ANALISIS ESTRUCTURAL II
UNIVERSIDAD NACIONAL DE CAJAMARCA
DIAGRAMA DE LOS MOMENTOS FLECTORES
ING. LINO CANCINO COLICHON ANALISIS ESTRUCTURAL II
UNIVERSIDAD NACIONAL DE CAJAMARCA
DIAGRAMA DE CORTANTES
ING. LINO CANCINO COLICHON ANALISIS ESTRUCTURAL II
UNIVERSIDAD NACIONAL DE CAJAMARCA
ING. LINO CANCINO COLICHON ANALISIS ESTRUCTURAL II
UNIVERSIDAD NACIONAL DE CAJAMARCA
ING. LINO CANCINO COLICHON ANALISIS ESTRUCTURAL II
UNIVERSIDAD NACIONAL DE CAJAMARCA
ING. LINO CANCINO COLICHON ANALISIS ESTRUCTURAL II
UNIVERSIDAD NACIONAL DE CAJAMARCA
ING. LINO CANCINO COLICHON ANALISIS ESTRUCTURAL II
UNIVERSIDAD NACIONAL DE CAJAMARCA
ING. LINO CANCINO COLICHON ANALISIS ESTRUCTURAL II
UNIVERSIDAD NACIONAL DE CAJAMARCA
ING. LINO CANCINO COLICHON ANALISIS ESTRUCTURAL II
UNIVERSIDAD NACIONAL DE CAJAMARCA
ING. LINO CANCINO COLICHON ANALISIS ESTRUCTURAL II
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