ce204 sum99 exam1

ce204 sum99 exam1 - 01/1 CALIFORNIA POLYTECHNIC STATE...

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Unformatted text preview: 01/1 CALIFORNIA POLYTECHNIC STATE UNIVERSITY Department of Civil and Environmental Engineering | Summer 1995 CE 204 Dr. J.S. DeNatale \" Strength of Materials I Exam #1 (Value = 25%) closed Book. Closed Notes. All Work ust Be Shown. All Solut'ons Must Be c earl and C m lete Defined. 1. Determine the axial stress and strain in members AB and BE of the truss shown below. All members of the truss are steel, with diameters of 25 mm and elastic moduli of 200 GPs. [6 points] ‘ q 4- '1 M “JF' ' ' W A was: W e. gift—$3995” JP: a 61M. 7* as ’5 BE 192w ‘% ;K%(%7/L&é/LE£§{QK:Jétyégé . l . ,_ 3‘11 ‘ 'AB—V- Poesmraeq so __ N % 2A1“; 71L “27 ‘13."? szbm '9kc"“s-1f2\¢N-‘ x, barn-um KM flmaBorHow V'WQB 03"‘D\¢\""\A\ m4 1 . . ‘ 0:6} :7 Tag H; / Akg \\ \ 9M] (.13 ‘ '.-;;r;,.;;<,": TM L26 War TIT/4 (.oww.) W4 WWW“): T/AJUZVDW? " ' - . ' 5m; -"- 343‘}. _\OQ_;LL«JV H, :1 egg» ,_ a V in 1‘: \rr‘ gi‘i.ji:tL').‘-r\‘f . “Em lea-ILOLQ ml“ 2. Links BC and DE have cross-sectional areas of 0.125 in2 and elastic moduli of 29,000,000 psi. Find the horizontal deflectio in links BC and DE produced by a loading of P = below. Assume that bar AF 13 Egg; [1 points] n of joint A and the force 600 1b applied as shown aawmbmm flamd 2M; = 0 $5 P=>wco B I) ) W OS‘éD053)+ F36 + FMi C2") .4 ‘4' .. __, \.‘/ H \ ‘. _. “I > W. ' , flip/U \wrfim __ .I m exovflod-xm‘x ~ :,'.:.-‘ , . ,w r, ,->‘. ‘ 1. . \ a,‘ .1“, (\mxxomw : ,7 a " -- . -. ,. , "of {if —’\ \s w Vie)“ 3?"!ow we; assembly shown below is subjected to a temperature se axial stresses to develop in both Right-hand 3. The bimetallic increase am that is sufficient to can members. Left—hand bar 1 has properties A1, E1, L1, and 111. bar 2 has properties A2, E2, L2, and uz. Three alternate free—body diagrams (FBDs) are shown below. Develop a set of correct Force-Deformation-Temperature and Geometric-compatibility equations for each FBD. [6 points; 2 points per set] you W MM m mm /W 662‘ /Zw/' Mw/ cfvé/ W M. /m,,/ f’D’T 67M ska/4’ g/ W2. my; rev). 44% fix/fé W fM/nnyfze—wafiéa w r i; ;«_- w _ #émx chrmamw \iovg; vi: 9E}: M331 “lithe? u 1. aw; 4,0 pew“? L61': EL:LLXV3L“ \fiz; Et‘xc'vc’yxna ‘ $313? 5>‘ ,1: i "ON, mpg fig@+ Wu ""3 SF‘DTX {"550 1‘ PEI-i7 “an: r V - fl—fiafita IE: “WW” 13’va 7M [EA 1 LE“ / M W4¢flfiflm E:EQ,§_§3_E\ X KN (\W‘lfllm'fl“ W‘D “A!” " " 'mflbw é; \t?\l\\... 4. Steel wire CD has 29,000,000 psi. Determine th between end B and fixed support E. weightless. [6 points] at») \A \ u Pym um fly?” 7 fr fl: 3;]: I). 1f\,'¥’/‘\‘L4 \. 1. I: eCCxUZWP\g. r357? r a diameter of 0.080 in Assume that beam AB and an elastic modulus e distance x that will allow for bare contact is of rigid and 3.5 in. CALIFORNIA POLYTECHNIC STATE UNIVERSITY I Department of civil and Environmental Engineering ‘ES’H V CE 204 Summer 1995 Strength of Materials I Dr. J.s. DeNatale Exam #2 (Value = 15%) Closed Book. Closed Notes. All Work Must Be Shown. All Solutions Must Be Clearl and Com letel Defined 1. Rigid disks A, B, c, and D are torqued as shown below. Determine the maximum shear stress in shaft segment BC and the difference between the angles of twist at A and c. The solid shaft segments are made of isteel that has a shear modulus of 11,200 ksi. [5 points] View axial e ~ "#00 )h u} @fiumvzxawml 1, (Q r- :Lx v, ' . ., _ r . \ .\ 1“ ‘ I W 9,; (er—V . , .‘r-r»£; 5 ‘ 3 AU 10 3 TM? «[ é: ' V 1’; v __ 4;v¢rRr zfi::%; ijyagif;Ti:% _‘ Mfr/E , 79 WW % é; ' ‘TE(VC_ "TQuCV; / r {r h “” '“/ g ‘C\(\ c, ramc‘k [ ms _.. ° k5“ J" 1355‘ 2. A stepped shaft is loaded as shown below. Left-hand bar 1 has properties J1, 61, and L1. Right-hand bar 2 has properties J2, 62, and L2. Two alternate free-body diagrams (FBDs) are shown below. Develop a correct Geometric—Compatibility equation for eaog FBD. [4 points] 3. A 10-foot long solid steel shaft (G = 11,200 kei) must transmit 15 hp while rotating at 1500 rpm. The shear stress must not exceed 5 kai, and the angle of twist must not exceed 4 degrees. Determine the minimum acceptable diameter. [5 points] ESE,in ' uéxo W I C7 < H. “2,00 meg c Lne‘lvgumék): Laoxeqk‘o/W : , {geoFaflyflrefizgog4kwé P: WM? ~ M4 __ ‘ 1— -"_ (72"? w ‘ 4 VJ TW 1 meme-T MAX 0) "TL ‘IJ‘QNL’ (b M” “P ' J m .4." \‘ " T 1773} 5 a} t” L z"j“',;g;NQ":;\:g '1 r a K W - ~ A P : "\“Jas 1 ‘Vea.0@/(})W a“, r g v, \7 .-’ T 1 C“ U3 \@ Q &'@;D\k\ C 9““}2, ‘ . C r. Kl", \ “ 31/0 ‘.‘_i¥_ ,, — :1 \‘Uflgq \bpwjfl/y; *4 \9’] rad/S RC ._ R‘fi Kai-‘32:: ,‘ El 1 ‘ - xxx 51,- 1m a J- “ : '- W1: Ll: m “Id/S) \5” $4795.? fl 'qq WWI; mm &ACK'-.x-\C.H*~ \(fl/N‘B' <—-—v——————————w——-————a——w—-——————————_______"444i CALIFORNIA POLITECHNIC STATE UNIVERSITY Department of Civil and Environmental Engineering Summer 1995 CE 204 Dr. J.S. DeNatale \_/ Strength of Materials I Exam #3 (Value = 20%) ‘ Closed Book. Closed Notes. 1 and Com letel Defined. L; All Work Must Be Shown. All Solutions Must Be Clearl 1. Determine the magnitude and sense of the reactions at supports A and B. [4 points] :7: :0; @=3‘\0 _———-'2’*m=120~—12 LU Jr home)“ \3- ‘ (20 % mow») +3000) —r moo kwflwmwm 1pm. MAM \lmas 2.\7,o\b)( T29— fififl 8 (I 8 1’ Clearly indicate all key characteristics and Construct the shear force and bending moment diagrams associated with the shown below. values, including the location and magnitude of the maximum load diagram {10 points] 2. bending moment. 1+" M .w alga“ a0 \#a w” ’2— 2916—2 l WJLQ 'L02n6 filéo ...— 5 ex #3! 90K 2L “$331., ?_ A (20) .2— tTKk5)_ mm own—361 sauce A| Afi? A4 -:— “nu—nu-mnnnnn __a unnu.na. mum“ ,. nun.“ . III-Illmm "A III! III. “mm-I o_nununnnnn Ill-Elf Ill-Illlllll all-ml III-IIIIIIIIIEIIIII V 3. Develop an expression for the bending moment M(x) over the interval 12'< x < 15'. [2 points] IVJJZ—x'ue’fl , _ \00”? _r2_\f‘7"_.,_1'| M m W) 10»2u¢; : V1.9 ’ EM =0 Moo + \oomsflvor—O ___...__...._.____M1—_._..__...., MTV Mm = ; mcsyowdggi Clearly indicate all key characteristics and shown below. [4 points] beam loading 4. Construct the shear force and bending moment diagrams associated with the values. gamma mm e E“ ... {H in.“ m m W a.“ n E l. . "saunas... E... w. E... ..._q_, Emma—emu”? .. .. E." .. ,, lumafifimmfiafifi “mama.” a m L Illa \Irl ‘Inw 24v 7. M? m I... as A W W E I. 4W a; m a o m L . z c .. mm m a L a, D 0W my .L m m f W in , W H L: .W M W M. a W a e a “V m. m we e. H 2/3 m L 7 JJ W. t M W LL; c mu m“ a. e an.“ v w \n a m 7% am ...
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ce204 sum99 exam1 - 01/1 CALIFORNIA POLYTECHNIC STATE...

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