Fa10_Exam2_Key

Fa10_Exam2_Key - NAME: KEY E MCH 210H Statics and Strength...

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Unformatted text preview: NAME: KEY E MCH 210H Statics and Strength of Materials Section 1 (1:25-2:15) Fall 2010 Section 2 (2:30-3:20) Exam 2 This is a closed book exam. Show all of your work in a clear and logical progression. Partial credit will be based on the clarity of the work shown. If the instructor can’t read your work, you can’t get credit for it. Clearly mark your answers and include units. Check your work. The exam has four pages and a cover sheet. Let the instructor know immediately if your exam has less pages or if anything is illegible. Good luckl P V 6 - fl . (“=2 1m:2 O'=E8 EA 1. of 10 6 6 — 81m = vs 0m = K 5 2. of 10 em = 7M = 1 = G7 A 3. of 10 g = “AT FS = failure/ actual T 4. 0f 10 —_ 0'“ = fl O'h = fl TOTAL of 40 T = T_P P = Ta, 2’ t J TL 6 = — co = 2 G] if 7: J = 3(44 - n“) 1 hp = 33000 ft-lb/min 1 W = 1 N-m/s . III-II '2 III-III.- Ill-III IRE-III- “Nam-III Iflfi‘aII-IIII Stress concentration factor K, Stress concentration factor K, Stress concentration factor K, Figure 5-20 Stress concentration factors for grooves. holes, and fillets. NAME: 1. A pinned connection transmits a 15 kN force from member A to member B. A shear stress-strain curVe for the material used for the pin is shown. Determine: (a) the diameter, d, of the pin, to the whole millimeter, to provide a factor of safety of 1.8, (b) the bearing stress from the pin at the face of the hole in member B, (c) the punching shear stress in member 8. 5mm ~—» 5m I Top View Pin diameter, d P=15kN 50mm 15mm SideView in FED "H PI; UaP -—*V Pl; <— V: War-"(.5 kN +0.5 (R, _ -1... T. [E0 ‘ ?-—-v P bio—37M“ P leooo :E—E'l'b P _" "'_ (a)d= 0 mm K\ mm n. ISOOD (b)Bearing= \50 MPA L "' 205‘ 10" " 50 MPa +3- ' (c)Punching= 50 MPOL NAME: 2. A 3” diameter concrete cylinder surrounds a 0.5” diameter steel bar. The concrete is perfectly bonded to the steel bar. At 60°F the materials are stress free and 36” long. After the temperature has raised to 180°F and a compressive force of 4000 lb is applied. Determine: (a) the stress in the concrete (b) the stress in the steel (c) the change in length of the assembly. been Steel rod: D = 0.5", E = 30x106 psi, (1 = 8x10“ 1/°F A; 3&2 Concrete cylinder: D0 = 3", D, = 0.5", E = 3x106 psi, (1 = 4x10'6 1/°F : 0MB m A6 = Mal—9.5% t 9.3—, xma +\ F3!) 'Dexcarm. Compoi. $F=L|ooo lb 86 ___ 5‘ +1 WK _ \ {I r! [ S " lPs ‘11P“ ( '\>\ P ’ Limbo—v C y; c -z .. l -— - I — = -\- \ .0, 95443; Hooo 30mg(ol‘%3\ + gm) (l80 (go) Mama?“ 4390/9030; +9. —o.\s%(4ooo+Pe\ + %o = 0.0435 Pc '+ 4E0 -mq'a = 0.905% Pr, = " cll'rl lb +l 40% - —e 1 = ——————-" + mo l (36\ _ SS [wrinklwqéfi 8 (ac) c: 35— : -—\‘53.0 Psi +l (4561 —c e (— 594 + 9eo\ 36W) P5 —— — (4000+ PA = — 30% H1: =+o.e\61o" +\ 30% . = = -i ‘7 5L 5 olmég ‘3, 80 P (a) '133.0 gs: (b) name psi (c) +(9.0(670” NAME: 3. A motor attached at C to the shaft shown and rotating at a speed of 1000 rpm drives two devices through belts connected to the steel shaft at A and B. Determine the maximum power (in horsepower) that can be delivered to the device attached at A if the maximum shearing stress in the shaft must not exceed 18 ksi and the rotation of end A with respect to end C must not exceed 3 degrees. The hollow section rigidly attached at B to the solid section from B to C. Steel: E = 29 x 103 ksi, G = 11 x 103 ksi AB outer diameter = 3 in. AB inner diameter = 1.5 in. BC diameter = 2.5 in. 4-1” : i3(3$3\ _ » L95 .—- .6“ =7 \= ~11 ll 5 L4 .0 K i. 5 ’IT anew" “Kt 9mm: BOT-2‘0.“ = éAB 'l’ 98(- 11:. = TLBIl>\ 4TV0'V3\ O Waco (1.4% H .000 (3,8 3\ T] (.ll1000\ =——+ (000% 1% 3&3 = “Ll-l ps'm -. ‘ h E h E! 971’ rad P = loci. P: @320 lb-‘mlfiijln \600 min‘ rev 33600 “rib/min P Maximum Power at A, P = quX (report in horsepower) NAME: 4.1 Match the letters (A-E) shown on the stress-strain curve from a tension test conducted on an aluminum alloy with the appropriate material parameter. Not all material parameters are shown on the stress-strain curve. 0- _D_1. Elongation __Q_2. Proportional limit __B__3. Young’s modulus __’_4. Poisson’s ratio _A_5. Ultimate strength + l __f_6. Modulus of rigidity E . D E 8 7. Yield strength + l 4.2 A w=1” wide plate that is t=0.125” thick and has two d=0.25" diameter holes is loaded as shown. Calculate the maximum stress in the plate. /t\ I %=9-%=0.95 1200 lb ‘3_ 700 lb \300 $139.9“... 3335 (“936309.139 H = 30,030 psi +51 4.3 A cylindrical pressure vessel has an inner radius r = 1.2 m, a wall thickness t = 6 mm, and contains an internal pressure of 0.3 MPa. Calculate the normal stresses in the vessel wall and sketch how they act on the pressure vessel. r \i‘ a 50 MPa Jc 0.004 l ': 300 > L0 <31: fig = mama. (90 m End cap GA: fit a @ ...
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Fa10_Exam2_Key - NAME: KEY E MCH 210H Statics and Strength...

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