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2 exam - I 16" l EGRM 202 Mechanics of Deformables...

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Unformatted text preview: I . 16'" l EGRM 202 Mechanics of Deformables Spring 2007 Exam 2 Hand" Elm-H ox Name: Problem 1 (55 points) (40 minutes) The beam is loaded and supported as Show; Draw a complete free body diagram (with the original loads) and determine the reactions at A and B. (10 points) (10 minutes) m Name: “(I SAA Problem 1 (Continued) (20 points) (15 minutes) Draw complete shear and bending moment diagrams for the beam. Label all peak values and their locations. Label straight sloped lines as “straight” and curved lines as “curves”. Your drawing does not need to be perfectly scaled. 41(N ___.—-""'-— Cq- 2 a.ng light.) . SI} V gym-n '13” K“) \ a1 .qut] 5" r25 . ' an dog-"'5 8 37‘?) v “’ QT? kail’j'k I.-. 6’”)! Sta; V _,é I _ “‘1 I ,I/ I 1 {r4 ‘ r511” ~39”) '-"‘ Name: “6156" Problem 1 (Continued) (25 Points) (15 minutes) Find the maximum bending stress in the beam. The cross-section is shown below. Ignore the moment arrow on the cross-section figure. Also ignore stress concentrations. Show your work. 4 m in- 1:11.,“ . (10.32% O\ x H H‘P u 5. macaw» HgfjciA A 2 m long solid steel shaft connects engine E to generator G. The engine transmits 32 kW of power to the generator when it rotates at 765 revolutions per minute. The modulus of elasticity for the shaft material is 200 GPa and the modulus of rigidity is 75 GPa. The maximum allowable shear stress for the shaft is 140 MPa and the maximum twist for the shaft is 0.05 rad. Find the minimum diameter for the shaft. Show your work. Name: Problem 2 (30 points) (20 minutes) (u) p: ’31ka (,3: 76.5 (g; ._ 153‘ . 21"“? 90." :‘S‘ 0“" (ICE! ""’ E =100(Io°‘lPa G: Home, Glth-n— J‘Lt'a(lo£.)P¢1\- 915 = m and.” (3.05 J I- ‘ : ‘I-w 5 UM“ 8‘0.” 009a;gé 2;: 3‘39.H5(2) ' T" we * 75m“) Tc :1. 1)( ) era/“mu : Iqohogpm _-_-,_ T l A q : . (-5) .05 - LT . IY‘IC‘" 140009593 sr}( ii)“ ; 'I -'—_'_"L_'___ " f,____-_"___———— wrungfu) \$44 as Oi. U _ ‘3 _ ﬂd_,‘_______ z I". gé‘l'oh/ — Qgcggsgn ’ A. I Name: . EUAA Problem 3 (15 points) (15 minutes) \ ii— The solid steel shaft has a diameter of 20 mm. Determine the reactions at the ﬁxed supports A and B. The external load at C has been removed, so it has a value of zero in the ﬁgure. The modulus of elasticity for the shaft material is 200 GPa and the modulus of rigidity is 75 GPa. Show your work. ._ .. -v _ cl —_- 0. oz m 500 C7—— 75(1aqlPa 0 N-m AM GLAD - TA‘TG 7e— i3 T =— T ,ILL e 9(3) 14-67113 ...
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2 exam - I 16" l EGRM 202 Mechanics of Deformables...

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