Notas mecánica de materiales
rodrigo peña Tarea 12 de Diciembre de 2018
327 Palabras (2 Páginas) 151 Visitas
Nombre: Gutierrez Peña Rodrigo Abihu Rojas Delgado Lizbeth Viviana Acevedo Malcon Jouryd Emanuel | Matrícula: 2863187 2852853 2856421 |
Nombre del curso: Mecánica de materiales | Nombre del profesor: Joel Pérez Roman |
Módulo:1 | Actividad: Actividad 2 |
Fecha:17 de agosto de 2018 |
Objetivo:
- Reforzar la habilidad del alumno para resolver problemas de los conceptos de deformación normal y unitaria.
Procedimiento:
Se construirá un puente como el que se muestra en la figura, con un perfil I.
a) Evalúe cada uno de los elementos del puente.
b) Seleccione el de mayor fuerza a tensión.
c) Seleccione el de mayor fuerza a compresión.
d) Calcule el esfuerzo de trabajo para cada caso.
e) Determine la deformación lineal para cada caso.
f) Seleccione el perfil que cumpla con el factor de seguridad mecánico.
g) Proponga un diseño con diferentes tamaños de perfiles I.
[pic 2]
[pic 3]
[pic 4]
[pic 5]
Resultados:
[pic 6]
Fuerza | Result | x | y | CoT |
AB | 26.564KN | 23.439KN | 12.5KN | C |
AC | 23.439KN | 23.439KN | 0 | T |
BC | 5KN | 0 | 5KN | T |
CE | 23.439KN | 23.439KN | 0 | T |
BD | 20.199 | 17.823 | 9.505 | C |
BE | 6.399 | 5.647 | 3.011 | C |
HJ | 14.899 | 13.147 | 7.011 | C |
IJ | 1.099 | 0.97 | 0.517 | C |
JK | 0 | 0 | 0 | 0 |
JL | 15.938 | 14.06 | 7.5 | C |
KL | 14.06 | 14.06 | 0 | T |
IK | 14.06 | 14.06 | 0 | T |
DE | 8.011 | 0 | 8.011 | T |
EG | 17.792 | 17.792 | 0 | T |
IG | 13.06 | 13.06 | 0 | T |
HI | 0.517 | 0 | 0.517 | T |
GH | 1.399 | 1.02 | 0.958 | C |
DG | 8.199 | 5.611 | 5.979 | C |
FG | 12 | 0 | 12 | T |
DF | 13.821 | 12.212 | 6.473 | C |
HF | 13.73 | 12.127 | 6.793 | C |
AB | 26564 | |||
Bitola | Area | Presion | Esfuerzo |
|
pol | cm^2 | N | MN/m^2 | |
3" | 10.8 | 26564 | 24.5962963 | |
12.32 | 26564 | 21.56168831 | ||
4" | 14.5 | 26564 | 18.32 | |
16.11 | 26564 | 16.48913718 | ||
5" | 18.8 | 26564 | 14.12978723 | |
23.24 | 26564 | 11.4302926 | ||
6" | 23.6 | 26564 | 11.2559322 | |
27.97 | 26564 | 9.497318556 | ||
AC/CE | 23439 | |||
Bitola | Area | Presion | Esfuerzo |
|
pol | cm^2 | N | MN/m^2 | |
3" | 10.8 | 23439 | 21.70277778 | |
12.32 | 23439 | 19.02516234 | ||
4" | 14.5 | 23439 | 16.16482759 | |
16.11 | 23439 | 14.54934823 | ||
5" | 18.8 | 23439 | 12.46755319 | |
23.24 | 23439 | 10.08562823 | ||
6" | 23.6 | 23439 | 9.931779661 | |
27.97 | 23439 | 8.380050054 |
P | L | E | A | delta Def. Nor. | Epsilon Def. Unit. |
N | m | Mpa | cm^2 | m |
|
26564 | 5.66 | 200 | 10.8 | 0.696075185 | 0.122981481 |
12.32 | 0.610195779 | 0.107808442 | |||
14.5 | 0.518456 | 0.0916 | |||
16.11 | 0.466642582 | 0.082445686 | |||
18.8 | 0.399872979 | 0.070648936 | |||
23.24 | 0.323477281 | 0.057151463 | |||
23.6 | 0.318542881 | 0.056279661 | |||
27.97 | 0.268774115 | 0.047486593 | |||
26564 | 5.66 | 190 | 10.8 | 0.732710721 | 0.129454191 |
12.32 | 0.642311347 | 0.11348257 | |||
14.5 | 0.545743158 | 0.096421053 | |||
16.11 | 0.491202718 | 0.086784933 | |||
18.8 | 0.420918925 | 0.074367301 | |||
23.24 | 0.340502401 | 0.060159435 | |||
23.6 | 0.335308296 | 0.059241748 | |||
27.97 | 0.282920121 | 0.049985887 | |||
P | L | E | A | delta Def. Nor. | Epsilon Def. Unit. |
N | m | Mpa | cm^2 | m |
|
23439 | 5 | 200 | 10.8 | 0.542569444 | 0.108513889 |
12.32 | 0.475629058 | 0.095125812 | |||
14.5 | 0.40412069 | 0.080824138 | |||
16.11 | 0.363733706 | 0.072746741 | |||
18.8 | 0.31168883 | 0.062337766 | |||
23.24 | 0.252140706 | 0.050428141 | |||
23.6 | 0.248294492 | 0.049658898 | |||
27.97 | 0.209501251 | 0.04190025 | |||
23439 | 5 | 190 | 10.8 | 0.571125731 | 0.114225146 |
12.32 | 0.500662167 | 0.100132433 | |||
14.5 | 0.4253902 | 0.08507804 | |||
16.11 | 0.382877585 | 0.076575517 | |||
18.8 | 0.328093505 | 0.065618701 | |||
23.24 | 0.265411269 | 0.053082254 | |||
23.6 | 0.261362623 | 0.052272525 | |||
27.97 | 0.220527633 | 0.044105527 | |||
esfuerzo ideal | |||||
250 | 10.8 | 231481.4815 | 520 | 10.8 | 481481.4815 |
12.32 | 202922.0779 | 12.32 | 422077.9221 | ||
14.5 | 172413.7931 | 14.5 | 358620.6897 | ||
16.11 | 155183.1161 | 16.11 | 322780.8814 | ||
18.8 | 132978.7234 | 18.8 | 276595.7447 | ||
23.24 | 107573.1497 | 23.24 | 223752.1515 | ||
23.6 | 105932.2034 | 23.6 | 220338.9831 | ||
27.97 | 89381.48016 | 27.97 | 185913.4787 | ||
450 | 10.8 | 416666.6667 | 260 | 10.8 | 240740.7407 |
12.32 | 365259.7403 | 12.32 | 211038.961 | ||
14.5 | 310344.8276 | 14.5 | 179310.3448 | ||
16.11 | 279329.6089 | 16.11 | 161390.4407 | ||
18.8 | 239361.7021 | 18.8 | 138297.8723 | ||
23.24 | 193631.6695 | 23.24 | 111876.0757 | ||
23.6 | 190677.9661 | 23.6 | 110169.4915 | ||
27.97 | 160886.6643 | 27.97 | 92956.73936 | ||
550 | 10.8 | 509259.2593 | 275 | 10.8 | 254629.6296 |
12.32 | 446428.5714 | 12.32 | 223214.2857 | ||
14.5 | 379310.3448 | 14.5 | 189655.1724 | ||
16.11 | 341402.8554 | 16.11 | 170701.4277 | ||
18.8 | 292553.1915 | 18.8 | 146276.5957 | ||
23.24 | 236660.9294 | 23.24 | 118330.4647 | ||
23.6 | 233050.8475 | 23.6 | 116525.4237 | ||
27.97 | 196639.2563 | 27.97 | 98319.62817 | ||
760 | 10.8 | 703703.7037 | 415 | 10.8 | 384259.2593 |
12.32 | 616883.1169 | 12.32 | 336850.6494 | ||
14.5 | 524137.931 | 14.5 | 286206.8966 | ||
16.11 | 471756.6729 | 16.11 | 257603.9727 | ||
18.8 | 404255.3191 | 18.8 | 220744.6809 | ||
23.24 | 327022.3752 | 23.24 | 178571.4286 | ||
23.6 | 322033.8983 | 23.6 | 175847.4576 | ||
27.97 | 271719.6997 | 27.97 | 148373.2571 |
...