Presentación de PowerPoints316bb09e361cfe7b.jimcontent.com/download/version... · 2013. 9. 16. ·...
Transcript of Presentación de PowerPoints316bb09e361cfe7b.jimcontent.com/download/version... · 2013. 9. 16. ·...
![Page 1: Presentación de PowerPoints316bb09e361cfe7b.jimcontent.com/download/version... · 2013. 9. 16. · resistencia de materiales profesor: diego antonio muÑoz sanchez ing. mecanico](https://reader036.fdocuments.mx/reader036/viewer/2022071504/61247dd1b0917604de7ad0a5/html5/thumbnails/1.jpg)
RESISTENCIA DE MATERIALES
PROFESOR: DIEGO ANTONIO MUÑOZ SANCHEZ
ING. MECANICO ESP. GESTION ENERGETICA INDUSTRIAL
FACULTAD DE INGENIERIA MECTRONICA MEDELLIN
2013
![Page 2: Presentación de PowerPoints316bb09e361cfe7b.jimcontent.com/download/version... · 2013. 9. 16. · resistencia de materiales profesor: diego antonio muÑoz sanchez ing. mecanico](https://reader036.fdocuments.mx/reader036/viewer/2022071504/61247dd1b0917604de7ad0a5/html5/thumbnails/2.jpg)
2
TODAS LAS FIGURAS Y CONCEPTOS SON SACADOS DEL LIBRO DE
BEER JHONSTON 6 EDICION.
![Page 3: Presentación de PowerPoints316bb09e361cfe7b.jimcontent.com/download/version... · 2013. 9. 16. · resistencia de materiales profesor: diego antonio muÑoz sanchez ing. mecanico](https://reader036.fdocuments.mx/reader036/viewer/2022071504/61247dd1b0917604de7ad0a5/html5/thumbnails/3.jpg)
3
TORSION
![Page 4: Presentación de PowerPoints316bb09e361cfe7b.jimcontent.com/download/version... · 2013. 9. 16. · resistencia de materiales profesor: diego antonio muÑoz sanchez ing. mecanico](https://reader036.fdocuments.mx/reader036/viewer/2022071504/61247dd1b0917604de7ad0a5/html5/thumbnails/4.jpg)
4
APLICACIONES
EJES DE AUTOMOVILES EJES DE TURBINAS Y BOMBAS
![Page 5: Presentación de PowerPoints316bb09e361cfe7b.jimcontent.com/download/version... · 2013. 9. 16. · resistencia de materiales profesor: diego antonio muÑoz sanchez ing. mecanico](https://reader036.fdocuments.mx/reader036/viewer/2022071504/61247dd1b0917604de7ad0a5/html5/thumbnails/5.jpg)
5
ANALISIS DE ESFUERZOS
τ = Esfuerzo cortante
dA = área paralela a la fuerza
ƥ = radio del elemento
![Page 6: Presentación de PowerPoints316bb09e361cfe7b.jimcontent.com/download/version... · 2013. 9. 16. · resistencia de materiales profesor: diego antonio muÑoz sanchez ing. mecanico](https://reader036.fdocuments.mx/reader036/viewer/2022071504/61247dd1b0917604de7ad0a5/html5/thumbnails/6.jpg)
6
DEFORMACION EN UN EJE CIRCULAR
ɸ = ángulo de torsión
![Page 7: Presentación de PowerPoints316bb09e361cfe7b.jimcontent.com/download/version... · 2013. 9. 16. · resistencia de materiales profesor: diego antonio muÑoz sanchez ing. mecanico](https://reader036.fdocuments.mx/reader036/viewer/2022071504/61247dd1b0917604de7ad0a5/html5/thumbnails/7.jpg)
7
COMPROBACION QUE EL AREA PERMANECE CONSTANTE
Desplazamiento de los puntos en un plano paralelo
![Page 8: Presentación de PowerPoints316bb09e361cfe7b.jimcontent.com/download/version... · 2013. 9. 16. · resistencia de materiales profesor: diego antonio muÑoz sanchez ing. mecanico](https://reader036.fdocuments.mx/reader036/viewer/2022071504/61247dd1b0917604de7ad0a5/html5/thumbnails/8.jpg)
8
DEFORMACION EN EJE CIRCULAR
![Page 9: Presentación de PowerPoints316bb09e361cfe7b.jimcontent.com/download/version... · 2013. 9. 16. · resistencia de materiales profesor: diego antonio muÑoz sanchez ing. mecanico](https://reader036.fdocuments.mx/reader036/viewer/2022071504/61247dd1b0917604de7ad0a5/html5/thumbnails/9.jpg)
9
ESFUERZO EN EL RANGO ELASTICO
Esfuerzo cortante de fluencia
Modulo de elasticidad
del material
Momento polar de inercia
![Page 10: Presentación de PowerPoints316bb09e361cfe7b.jimcontent.com/download/version... · 2013. 9. 16. · resistencia de materiales profesor: diego antonio muÑoz sanchez ing. mecanico](https://reader036.fdocuments.mx/reader036/viewer/2022071504/61247dd1b0917604de7ad0a5/html5/thumbnails/10.jpg)
10
DISTRIBUCION DEL ESFUERZO CORTANTE
![Page 11: Presentación de PowerPoints316bb09e361cfe7b.jimcontent.com/download/version... · 2013. 9. 16. · resistencia de materiales profesor: diego antonio muÑoz sanchez ing. mecanico](https://reader036.fdocuments.mx/reader036/viewer/2022071504/61247dd1b0917604de7ad0a5/html5/thumbnails/11.jpg)
11
MOMENTOS DE INERCIA
![Page 12: Presentación de PowerPoints316bb09e361cfe7b.jimcontent.com/download/version... · 2013. 9. 16. · resistencia de materiales profesor: diego antonio muÑoz sanchez ing. mecanico](https://reader036.fdocuments.mx/reader036/viewer/2022071504/61247dd1b0917604de7ad0a5/html5/thumbnails/12.jpg)
12
EJEMPLOS
![Page 13: Presentación de PowerPoints316bb09e361cfe7b.jimcontent.com/download/version... · 2013. 9. 16. · resistencia de materiales profesor: diego antonio muÑoz sanchez ing. mecanico](https://reader036.fdocuments.mx/reader036/viewer/2022071504/61247dd1b0917604de7ad0a5/html5/thumbnails/13.jpg)
13
![Page 14: Presentación de PowerPoints316bb09e361cfe7b.jimcontent.com/download/version... · 2013. 9. 16. · resistencia de materiales profesor: diego antonio muÑoz sanchez ing. mecanico](https://reader036.fdocuments.mx/reader036/viewer/2022071504/61247dd1b0917604de7ad0a5/html5/thumbnails/14.jpg)
14
![Page 15: Presentación de PowerPoints316bb09e361cfe7b.jimcontent.com/download/version... · 2013. 9. 16. · resistencia de materiales profesor: diego antonio muÑoz sanchez ing. mecanico](https://reader036.fdocuments.mx/reader036/viewer/2022071504/61247dd1b0917604de7ad0a5/html5/thumbnails/15.jpg)
15
EJE DE SECCION VARIABLE
Esfuerzo cortante de cada tramo
Tengo que realizar cortes en cada tramo y realizar sumatoria de momentos para saber en torque que trabaja por tramo.
∑ M tramo = M1 –M2 = M3
![Page 16: Presentación de PowerPoints316bb09e361cfe7b.jimcontent.com/download/version... · 2013. 9. 16. · resistencia de materiales profesor: diego antonio muÑoz sanchez ing. mecanico](https://reader036.fdocuments.mx/reader036/viewer/2022071504/61247dd1b0917604de7ad0a5/html5/thumbnails/16.jpg)
16
![Page 17: Presentación de PowerPoints316bb09e361cfe7b.jimcontent.com/download/version... · 2013. 9. 16. · resistencia de materiales profesor: diego antonio muÑoz sanchez ing. mecanico](https://reader036.fdocuments.mx/reader036/viewer/2022071504/61247dd1b0917604de7ad0a5/html5/thumbnails/17.jpg)
17
EJEMPLO
![Page 18: Presentación de PowerPoints316bb09e361cfe7b.jimcontent.com/download/version... · 2013. 9. 16. · resistencia de materiales profesor: diego antonio muÑoz sanchez ing. mecanico](https://reader036.fdocuments.mx/reader036/viewer/2022071504/61247dd1b0917604de7ad0a5/html5/thumbnails/18.jpg)
18
![Page 19: Presentación de PowerPoints316bb09e361cfe7b.jimcontent.com/download/version... · 2013. 9. 16. · resistencia de materiales profesor: diego antonio muÑoz sanchez ing. mecanico](https://reader036.fdocuments.mx/reader036/viewer/2022071504/61247dd1b0917604de7ad0a5/html5/thumbnails/19.jpg)
19
![Page 20: Presentación de PowerPoints316bb09e361cfe7b.jimcontent.com/download/version... · 2013. 9. 16. · resistencia de materiales profesor: diego antonio muÑoz sanchez ing. mecanico](https://reader036.fdocuments.mx/reader036/viewer/2022071504/61247dd1b0917604de7ad0a5/html5/thumbnails/20.jpg)
20
EJEMPLO
![Page 21: Presentación de PowerPoints316bb09e361cfe7b.jimcontent.com/download/version... · 2013. 9. 16. · resistencia de materiales profesor: diego antonio muÑoz sanchez ing. mecanico](https://reader036.fdocuments.mx/reader036/viewer/2022071504/61247dd1b0917604de7ad0a5/html5/thumbnails/21.jpg)
21
![Page 22: Presentación de PowerPoints316bb09e361cfe7b.jimcontent.com/download/version... · 2013. 9. 16. · resistencia de materiales profesor: diego antonio muÑoz sanchez ing. mecanico](https://reader036.fdocuments.mx/reader036/viewer/2022071504/61247dd1b0917604de7ad0a5/html5/thumbnails/22.jpg)
22
![Page 23: Presentación de PowerPoints316bb09e361cfe7b.jimcontent.com/download/version... · 2013. 9. 16. · resistencia de materiales profesor: diego antonio muÑoz sanchez ing. mecanico](https://reader036.fdocuments.mx/reader036/viewer/2022071504/61247dd1b0917604de7ad0a5/html5/thumbnails/23.jpg)
23
EJERCICIOS PROPUESTOS
![Page 24: Presentación de PowerPoints316bb09e361cfe7b.jimcontent.com/download/version... · 2013. 9. 16. · resistencia de materiales profesor: diego antonio muÑoz sanchez ing. mecanico](https://reader036.fdocuments.mx/reader036/viewer/2022071504/61247dd1b0917604de7ad0a5/html5/thumbnails/24.jpg)
24
![Page 25: Presentación de PowerPoints316bb09e361cfe7b.jimcontent.com/download/version... · 2013. 9. 16. · resistencia de materiales profesor: diego antonio muÑoz sanchez ing. mecanico](https://reader036.fdocuments.mx/reader036/viewer/2022071504/61247dd1b0917604de7ad0a5/html5/thumbnails/25.jpg)
25
![Page 26: Presentación de PowerPoints316bb09e361cfe7b.jimcontent.com/download/version... · 2013. 9. 16. · resistencia de materiales profesor: diego antonio muÑoz sanchez ing. mecanico](https://reader036.fdocuments.mx/reader036/viewer/2022071504/61247dd1b0917604de7ad0a5/html5/thumbnails/26.jpg)
26
![Page 27: Presentación de PowerPoints316bb09e361cfe7b.jimcontent.com/download/version... · 2013. 9. 16. · resistencia de materiales profesor: diego antonio muÑoz sanchez ing. mecanico](https://reader036.fdocuments.mx/reader036/viewer/2022071504/61247dd1b0917604de7ad0a5/html5/thumbnails/27.jpg)
27
![Page 28: Presentación de PowerPoints316bb09e361cfe7b.jimcontent.com/download/version... · 2013. 9. 16. · resistencia de materiales profesor: diego antonio muÑoz sanchez ing. mecanico](https://reader036.fdocuments.mx/reader036/viewer/2022071504/61247dd1b0917604de7ad0a5/html5/thumbnails/28.jpg)
28
![Page 29: Presentación de PowerPoints316bb09e361cfe7b.jimcontent.com/download/version... · 2013. 9. 16. · resistencia de materiales profesor: diego antonio muÑoz sanchez ing. mecanico](https://reader036.fdocuments.mx/reader036/viewer/2022071504/61247dd1b0917604de7ad0a5/html5/thumbnails/29.jpg)
29
ANGULO DE TORSION EN EL RANGO ELASTICO
![Page 30: Presentación de PowerPoints316bb09e361cfe7b.jimcontent.com/download/version... · 2013. 9. 16. · resistencia de materiales profesor: diego antonio muÑoz sanchez ing. mecanico](https://reader036.fdocuments.mx/reader036/viewer/2022071504/61247dd1b0917604de7ad0a5/html5/thumbnails/30.jpg)
30
TRANSMISION DE POTENCIA
![Page 31: Presentación de PowerPoints316bb09e361cfe7b.jimcontent.com/download/version... · 2013. 9. 16. · resistencia de materiales profesor: diego antonio muÑoz sanchez ing. mecanico](https://reader036.fdocuments.mx/reader036/viewer/2022071504/61247dd1b0917604de7ad0a5/html5/thumbnails/31.jpg)
31
CONCENTRACION DE ESFUERZOS
![Page 32: Presentación de PowerPoints316bb09e361cfe7b.jimcontent.com/download/version... · 2013. 9. 16. · resistencia de materiales profesor: diego antonio muÑoz sanchez ing. mecanico](https://reader036.fdocuments.mx/reader036/viewer/2022071504/61247dd1b0917604de7ad0a5/html5/thumbnails/32.jpg)
32
CONCENTRACION DE ESFUERZOS
![Page 33: Presentación de PowerPoints316bb09e361cfe7b.jimcontent.com/download/version... · 2013. 9. 16. · resistencia de materiales profesor: diego antonio muÑoz sanchez ing. mecanico](https://reader036.fdocuments.mx/reader036/viewer/2022071504/61247dd1b0917604de7ad0a5/html5/thumbnails/33.jpg)
33
EJEMPLO
![Page 34: Presentación de PowerPoints316bb09e361cfe7b.jimcontent.com/download/version... · 2013. 9. 16. · resistencia de materiales profesor: diego antonio muÑoz sanchez ing. mecanico](https://reader036.fdocuments.mx/reader036/viewer/2022071504/61247dd1b0917604de7ad0a5/html5/thumbnails/34.jpg)
34
![Page 35: Presentación de PowerPoints316bb09e361cfe7b.jimcontent.com/download/version... · 2013. 9. 16. · resistencia de materiales profesor: diego antonio muÑoz sanchez ing. mecanico](https://reader036.fdocuments.mx/reader036/viewer/2022071504/61247dd1b0917604de7ad0a5/html5/thumbnails/35.jpg)
35
ANGULO RELATIVO DE ROTACION
![Page 36: Presentación de PowerPoints316bb09e361cfe7b.jimcontent.com/download/version... · 2013. 9. 16. · resistencia de materiales profesor: diego antonio muÑoz sanchez ing. mecanico](https://reader036.fdocuments.mx/reader036/viewer/2022071504/61247dd1b0917604de7ad0a5/html5/thumbnails/36.jpg)
36
EJEMPLO
![Page 37: Presentación de PowerPoints316bb09e361cfe7b.jimcontent.com/download/version... · 2013. 9. 16. · resistencia de materiales profesor: diego antonio muÑoz sanchez ing. mecanico](https://reader036.fdocuments.mx/reader036/viewer/2022071504/61247dd1b0917604de7ad0a5/html5/thumbnails/37.jpg)
37
![Page 38: Presentación de PowerPoints316bb09e361cfe7b.jimcontent.com/download/version... · 2013. 9. 16. · resistencia de materiales profesor: diego antonio muÑoz sanchez ing. mecanico](https://reader036.fdocuments.mx/reader036/viewer/2022071504/61247dd1b0917604de7ad0a5/html5/thumbnails/38.jpg)
38
![Page 39: Presentación de PowerPoints316bb09e361cfe7b.jimcontent.com/download/version... · 2013. 9. 16. · resistencia de materiales profesor: diego antonio muÑoz sanchez ing. mecanico](https://reader036.fdocuments.mx/reader036/viewer/2022071504/61247dd1b0917604de7ad0a5/html5/thumbnails/39.jpg)
39
EJES ESTATICAMENTE INDETERMINADOS
![Page 40: Presentación de PowerPoints316bb09e361cfe7b.jimcontent.com/download/version... · 2013. 9. 16. · resistencia de materiales profesor: diego antonio muÑoz sanchez ing. mecanico](https://reader036.fdocuments.mx/reader036/viewer/2022071504/61247dd1b0917604de7ad0a5/html5/thumbnails/40.jpg)
40
EJEMPLO
![Page 41: Presentación de PowerPoints316bb09e361cfe7b.jimcontent.com/download/version... · 2013. 9. 16. · resistencia de materiales profesor: diego antonio muÑoz sanchez ing. mecanico](https://reader036.fdocuments.mx/reader036/viewer/2022071504/61247dd1b0917604de7ad0a5/html5/thumbnails/41.jpg)
41
![Page 42: Presentación de PowerPoints316bb09e361cfe7b.jimcontent.com/download/version... · 2013. 9. 16. · resistencia de materiales profesor: diego antonio muÑoz sanchez ing. mecanico](https://reader036.fdocuments.mx/reader036/viewer/2022071504/61247dd1b0917604de7ad0a5/html5/thumbnails/42.jpg)
42
![Page 43: Presentación de PowerPoints316bb09e361cfe7b.jimcontent.com/download/version... · 2013. 9. 16. · resistencia de materiales profesor: diego antonio muÑoz sanchez ing. mecanico](https://reader036.fdocuments.mx/reader036/viewer/2022071504/61247dd1b0917604de7ad0a5/html5/thumbnails/43.jpg)
43
![Page 44: Presentación de PowerPoints316bb09e361cfe7b.jimcontent.com/download/version... · 2013. 9. 16. · resistencia de materiales profesor: diego antonio muÑoz sanchez ing. mecanico](https://reader036.fdocuments.mx/reader036/viewer/2022071504/61247dd1b0917604de7ad0a5/html5/thumbnails/44.jpg)
44
EJEMPLO
![Page 45: Presentación de PowerPoints316bb09e361cfe7b.jimcontent.com/download/version... · 2013. 9. 16. · resistencia de materiales profesor: diego antonio muÑoz sanchez ing. mecanico](https://reader036.fdocuments.mx/reader036/viewer/2022071504/61247dd1b0917604de7ad0a5/html5/thumbnails/45.jpg)
45
![Page 46: Presentación de PowerPoints316bb09e361cfe7b.jimcontent.com/download/version... · 2013. 9. 16. · resistencia de materiales profesor: diego antonio muÑoz sanchez ing. mecanico](https://reader036.fdocuments.mx/reader036/viewer/2022071504/61247dd1b0917604de7ad0a5/html5/thumbnails/46.jpg)
46
![Page 47: Presentación de PowerPoints316bb09e361cfe7b.jimcontent.com/download/version... · 2013. 9. 16. · resistencia de materiales profesor: diego antonio muÑoz sanchez ing. mecanico](https://reader036.fdocuments.mx/reader036/viewer/2022071504/61247dd1b0917604de7ad0a5/html5/thumbnails/47.jpg)
47
EJEMPLO
![Page 48: Presentación de PowerPoints316bb09e361cfe7b.jimcontent.com/download/version... · 2013. 9. 16. · resistencia de materiales profesor: diego antonio muÑoz sanchez ing. mecanico](https://reader036.fdocuments.mx/reader036/viewer/2022071504/61247dd1b0917604de7ad0a5/html5/thumbnails/48.jpg)
48
![Page 49: Presentación de PowerPoints316bb09e361cfe7b.jimcontent.com/download/version... · 2013. 9. 16. · resistencia de materiales profesor: diego antonio muÑoz sanchez ing. mecanico](https://reader036.fdocuments.mx/reader036/viewer/2022071504/61247dd1b0917604de7ad0a5/html5/thumbnails/49.jpg)
49
![Page 50: Presentación de PowerPoints316bb09e361cfe7b.jimcontent.com/download/version... · 2013. 9. 16. · resistencia de materiales profesor: diego antonio muÑoz sanchez ing. mecanico](https://reader036.fdocuments.mx/reader036/viewer/2022071504/61247dd1b0917604de7ad0a5/html5/thumbnails/50.jpg)
50
![Page 51: Presentación de PowerPoints316bb09e361cfe7b.jimcontent.com/download/version... · 2013. 9. 16. · resistencia de materiales profesor: diego antonio muÑoz sanchez ing. mecanico](https://reader036.fdocuments.mx/reader036/viewer/2022071504/61247dd1b0917604de7ad0a5/html5/thumbnails/51.jpg)
51
![Page 52: Presentación de PowerPoints316bb09e361cfe7b.jimcontent.com/download/version... · 2013. 9. 16. · resistencia de materiales profesor: diego antonio muÑoz sanchez ing. mecanico](https://reader036.fdocuments.mx/reader036/viewer/2022071504/61247dd1b0917604de7ad0a5/html5/thumbnails/52.jpg)
52
![Page 53: Presentación de PowerPoints316bb09e361cfe7b.jimcontent.com/download/version... · 2013. 9. 16. · resistencia de materiales profesor: diego antonio muÑoz sanchez ing. mecanico](https://reader036.fdocuments.mx/reader036/viewer/2022071504/61247dd1b0917604de7ad0a5/html5/thumbnails/53.jpg)
53
![Page 54: Presentación de PowerPoints316bb09e361cfe7b.jimcontent.com/download/version... · 2013. 9. 16. · resistencia de materiales profesor: diego antonio muÑoz sanchez ing. mecanico](https://reader036.fdocuments.mx/reader036/viewer/2022071504/61247dd1b0917604de7ad0a5/html5/thumbnails/54.jpg)
54
![Page 55: Presentación de PowerPoints316bb09e361cfe7b.jimcontent.com/download/version... · 2013. 9. 16. · resistencia de materiales profesor: diego antonio muÑoz sanchez ing. mecanico](https://reader036.fdocuments.mx/reader036/viewer/2022071504/61247dd1b0917604de7ad0a5/html5/thumbnails/55.jpg)
55
EJERCICIOS PROPUESTOS
![Page 56: Presentación de PowerPoints316bb09e361cfe7b.jimcontent.com/download/version... · 2013. 9. 16. · resistencia de materiales profesor: diego antonio muÑoz sanchez ing. mecanico](https://reader036.fdocuments.mx/reader036/viewer/2022071504/61247dd1b0917604de7ad0a5/html5/thumbnails/56.jpg)
56
![Page 57: Presentación de PowerPoints316bb09e361cfe7b.jimcontent.com/download/version... · 2013. 9. 16. · resistencia de materiales profesor: diego antonio muÑoz sanchez ing. mecanico](https://reader036.fdocuments.mx/reader036/viewer/2022071504/61247dd1b0917604de7ad0a5/html5/thumbnails/57.jpg)
57
![Page 58: Presentación de PowerPoints316bb09e361cfe7b.jimcontent.com/download/version... · 2013. 9. 16. · resistencia de materiales profesor: diego antonio muÑoz sanchez ing. mecanico](https://reader036.fdocuments.mx/reader036/viewer/2022071504/61247dd1b0917604de7ad0a5/html5/thumbnails/58.jpg)
58
![Page 59: Presentación de PowerPoints316bb09e361cfe7b.jimcontent.com/download/version... · 2013. 9. 16. · resistencia de materiales profesor: diego antonio muÑoz sanchez ing. mecanico](https://reader036.fdocuments.mx/reader036/viewer/2022071504/61247dd1b0917604de7ad0a5/html5/thumbnails/59.jpg)
59
![Page 60: Presentación de PowerPoints316bb09e361cfe7b.jimcontent.com/download/version... · 2013. 9. 16. · resistencia de materiales profesor: diego antonio muÑoz sanchez ing. mecanico](https://reader036.fdocuments.mx/reader036/viewer/2022071504/61247dd1b0917604de7ad0a5/html5/thumbnails/60.jpg)
60