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FIGURA 8-16
PASO 01: DIAGRAMAS UNITARIOS ο DIAGRAMA UNITARIO 01
ο· . r11
=
ο· . r21
=
ο· . r31
=
4πΈπΌ 3 8πΈπΌ 12 4πΈπΌ 21
+
16πΈπΌ 12
ο DIAGRAMA UNITARIO 02
ο· . r12
=
ο· . r22
=
8πΈπΌ 12 4πΈπΌ 3
+
4πΈπΌ 3
+
. r32
=
. r33
=
4πΈπΌ 21
12πΈπΌ 12
ο DIAGRAMA UNITARIO 03
ο· . r13
=
ο· . r23
=
4πΈπΌ 21 4πΈπΌ 21
16πΈπΌ 210
ο DIAGRAMA DE MOMENTO FLECTOR
ο· . r1p
= 60
ο· . r2p
= β60
ο· . r3p
= 0
. .
PASO 02 . rz
+ rp = 0
β¦ EI= Cte
Z = - r -1 Rp
4πΈπΌ
( Z=-
3
+
16πΈπΌ 12
)
8πΈπΌ
4πΈπΌ
12
21
8πΈπΌ
11πΈπΌ
4πΈπΌ
12
3
21
4πΈπΌ
4πΈπΌ
16πΈπΌ
21
21
210
β120
60 X
-60 0
=
180 0
PASO 03: OPERACIONES CON MATRICES
0
-0.57
0
-0.19
68.4
0
1.33
0
0.19
-159.6
60
-1.33
-0.67
0
30
-0.33
0.33
0
-60
0.67
1.33
0
0
0
1.33
0.19
0
0
-0.57
-0.19
0
0
1
0
180
0
0
0
0
0
+
PASO 04: DIAGRAMA FINAL
99
β120
x
180
=
129 99 239.4
0
-102.6
PASO 01: DIAGRAMAS UNITARIOS ο DIAGRAMA UNITARIO 01
ο· . r11
=
ο· . r21
=
ο· . r31
=
4πΈπΌ 3 8πΈπΌ 12 4πΈπΌ 21
+
16πΈπΌ 12
ο DIAGRAMA UNITARIO 02
ο· . r12
=
ο· . r22
=
8πΈπΌ 12 4πΈπΌ 3
+
4πΈπΌ 3
+
. r32
=
. r33
=
4πΈπΌ 21
12πΈπΌ 12
ο DIAGRAMA UNITARIO 03
ο· . r13
=
ο· . r23
=
4πΈπΌ 21 4πΈπΌ 21
16πΈπΌ 210
ο DIAGRAMA DE MOMENTO FLECTOR
ο· . r1p
= 60
ο· . r2p
= β60
ο· . r3p
= 0
. .
PASO 02 . rz
+ rp = 0
β¦ EI= Cte
Z = - r -1 Rp
4πΈπΌ
( Z=-
3
+
16πΈπΌ 12
)
8πΈπΌ
4πΈπΌ
12
21
8πΈπΌ
11πΈπΌ
4πΈπΌ
12
3
21
4πΈπΌ
4πΈπΌ
16πΈπΌ
21
21
210
β120
60 X
-60 0
=
180 0
PASO 03: OPERACIONES CON MATRICES
0
-0.57
0
-0.19
68.4
0
1.33
0
0.19
-159.6
60
-1.33
-0.67
0
30
-0.33
0.33
0
-60
0.67
1.33
0
0
0
1.33
0.19
0
0
-0.57
-0.19
0
0
1
0
180
0
0
0
0
0
+
PASO 04: DIAGRAMA FINAL
99
β120
x
180
=
129 99 239.4
0
-102.6
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