Ejercicio Determinar y graficar los elementos internos
Enviado por Kate • 15 de Agosto de 2018 • 1.293 Palabras (6 Páginas) • 453 Visitas
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R
1 t/m
N
M[pic 19]
[pic 20][pic 21][pic 22][pic 23][pic 24][pic 25]
[pic 26] Q
[pic 27][pic 28][pic 29][pic 30][pic 31][pic 32][pic 33][pic 34][pic 35][pic 36][pic 37][pic 38][pic 39][pic 40][pic 41]
1.75 t [pic 42] ϕ [pic 43]
[pic 44][pic 45][pic 46][pic 47][pic 48][pic 49][pic 50][pic 51]
3.25 t
[pic 52][pic 53][pic 54]
- d1
[pic 55][pic 56][pic 57]
F2
[pic 58][pic 59]
[pic 60] F1
[pic 61][pic 62][pic 63][pic 64]
3.25 t
[pic 65][pic 66][pic 67]
[pic 68][pic 69] F4
[pic 70][pic 71][pic 72][pic 73][pic 74][pic 75][pic 76][pic 77][pic 78][pic 79][pic 80]
1.75 t [pic 81]
[pic 82]
[pic 83][pic 84] F3
[pic 85][pic 86][pic 87][pic 88][pic 89][pic 90][pic 91][pic 92][pic 93][pic 94][pic 95][pic 96][pic 97]
F5 [pic 98][pic 99]
[pic 100]
[pic 101] F6
[pic 102][pic 103][pic 104][pic 105][pic 106][pic 107][pic 108]
3−3cosϕ
[pic 109]
DOMINIO ⇔ 0 ϕ
Normal
⇔
∑ FN = 0 ⇒ N + F2 + F3 − F5 = 0
∴ N = −0.25cosϕ −1.75senϕ − 3cos2 ϕ
Cortante
⇔
∑FQ = 0 ⇒ Q − F1 + F4 + F6 = 0
∴ Q = 0.25senϕ −1.75cosϕ + 3senϕ cosϕ
Momento
⇔
∑MS = 0 ⇒ M − 3.25⋅ d +1.75⋅ d2
+ R ⋅
d
= 0
2
∴ M = 3.25(3 − 3cosϕ) −1.75(3senϕ) − (3 − 3cosϕ)2
[pic 110]
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En la siguiente tabla mostramos la variación de valores que existen a lo largo del tramo A-C
(se recomienda una variación cada 15º)
[pic 111]
Normal “N”
Cortante “Q”
Momento “M”
[t]
[t]
[t_m]
0º
-3.25
-1.75
0
15º
-3.49
-0.88
-1.03
30º
-3.34
-0.09
-1.40
45º
-2.91
0.44
-1.24
60º
-2.39
0.64
-0.80
75º
-1.95
0.54
-0.32
90º
-1.75
0.25
0
[pic 112]
TRAMO B-D
DOMINIO ⇔ 0 ϕ 1
N
M[pic 113]
[pic 114][pic 115][pic 116][pic 117][pic 118][pic 119]
Q[pic 120]
[pic 121][pic 122][pic 123][pic 124][pic 125][pic 126][pic 127][pic 128][pic 129][pic 130][pic 131][pic 132]
[pic 133]ϕ1
[pic 134][pic 135][pic 136][pic 137][pic 138][pic 139][pic 140][pic 141]
F1
[pic 142]
F2
[pic 143][pic 144][pic 145][pic 146]
0.25 t
[pic 147][pic 148]
F3
[pic 149]
0.25 t [pic 150]
[pic 151][pic 152]
[pic 153][pic 154]F4
---------------------------------------------------------------
[pic
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