7/24/2019 EAExamen Extra-Ordinario_Mecnica de Materiales I_A

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INSTITUTO POLITCNICO NACIONALESCUELA SUPERIOR DE INGENIERA MECNICA Y ELCTRICA

UNIDAD CULHUACANEXAMEN EXTRA-ORDINARIO: MECNICA DE MATERIALES I

ALUMNO:_________________________________:BOLETA:______________:GRUPO:___________:FECHA:_______________:CALIF:_________________:

Profesor: Magdaleno Vsquez Rodrguez Academia: Proyecto Mecnico

Exercises A:

1._The Figure E1 shows a transmission shaft with spiral toothed. The not shown partnerraexerts at point C the tooth force F out. F is in plane by the angle obliquely to th

circumferential and to obliquely to the plane (section D-D). C lie on the circle with radius r. Th

drawn momento M keeps the momento due to the tooth force balance.

Numerical values: M = 2010 Nm; a= 280 mm; b= 380 mm; r= 191 mm, = 21.7; = 24. W

are looking for the support reactions in the fixed bearing A and the floating bearing B.

2._By integrating the differential equation., find the reactions at point A of the beam illustrate

in Figure E2. Wanted are the internal forces.

3._Consider the truss illustrated in Figure E3 subjected to forces P1= 5 kN and P2= 3 kN an

made of steel bars with cross-section areas of A1= 1 cm2, A2= 2 cm2and A3= 3 cm2. Determin

the forces on each bar using the Newton method.4._The simply supported shaft shown in Figure E4 is loaded by two twisting moments M 1an

M2. Calculate the support reactions.

5._For the overhang beam shown in Figure E5a, determine the maximum tensile flexural stres

on sections just to the left and to the right of the section on which the 16.0 kN.m couple acts antheir locations in the cross section Figure E5b.

Figure E1

7/24/2019 EAExamen Extra-Ordinario_Mecnica de Materiales I_A

2/2

INSTITUTO POLITCNICO NACIONALESCUELA SUPERIOR DE INGENIERA MECNICA Y ELCTRICA

UNIDAD CULHUACANEXAMEN EXTRA-ORDINARIO: MECNICA DE MATERIALES I

ALUMNO:_________________________________:BOLETA:______________:GRUPO:___________:FECHA:_______________:CALIF:_________________:

Profesor: Magdaleno Vsquez Rodrguez Academia: Proyecto Mecnico

Exercises A: Continued.

NOTA: Es importante establecer diagrama de cuerpo libre, ecuaciones de equilibrio,desarrollo de solucin mediante establecimiento de hiptesis, trazar diagramas defuerza cortante, momentos flexionante y torsional, anlisis adimensional, indicarpunto(s) de anlisis de seccin-transversal, resultados con exponentes de ingeniera.NO TRANSCRIPCIN DE SOLUCIONARIOS:

Figure E2

Figure E3

Figure E4

Figure E5aFigure E5b