exam_3_solns_f05 - NUU—lti—dlfllflb llflilb LIITIL,...

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Unformatted text preview: NUU—lti—dlfllflb llflilb LIITIL, LlUlL IZNLllNIZIZHlNL] D'KJ titid 4(64 l—‘.lr£|l/lflb ENGR 2200— Intermediate- Strerz th 0 M t t ' Is ' Test #3 g f a EFlfl W1. Lakes Fall 2005 ENGR 2200 - Test #3 (100 points) November 18, 2005 Student Name EIOLWIQN; Student ID - 0+5 cr—Cr = x y x J, _ 0' + (I <7 — Cf crux. 2 + ———2 cos 2&3 + In 5111 249 cry. = —XT~”— — J—z—J‘cos 29 - z'xy 30126 crx — O“ _ 2 *- rm. = ——2——y am 269 + r” cos 26’ tan 26‘, = tan 263: = — ax 0‘” a" -— 0'}, 21:” _ _ v _ pr pr _ r For cyhndncal vessels. crI — T cr2 = E m plane rm = p— out plane rm = fl 4: 2: For sphen'cal vessels: cr, = 0'2 = E r = 3 2t “13): 1/5 NUU—lti—dlfllflb llfl: 1'K LIITIL, LlUlL IZNLllNIZIZHlNL] D'KJ titid 4(64 l—'. [dd/[db ENGR 2200— Intermediate Siren th e M t ' 1 TM #3 g f a em: 5 WJ. Likes Fall 2005 Question 1. (35 points). For the beam and loading shOWH, determine the shearing stress at point a. Point e is located 1” from the top of the beam on cross-section n—n. ! few—rt ilk—Mr; [$011) = Wei 3 -‘ 3.5 , -I- I I! - '3 G? a e,- we ‘ um} seed"? t 132.33%“) I ’9 2/5 NUU—lti—dlfllflb llfl: 1'K LIITIL, LlUlL IZNLllNIZIZHlNL] D'KJ titid 4(64 l—'. [dd/[db ENGR 2200- Intermediate Stren I]: o Mater'al ' ' Test #3 g f t .5 WJ. Ltkas Fall 2005 Question 2. (30 points). (a) For the state of stress on the element shown, detennine the normal and Shear stresses on a plane rotated 25“ clockwise. 90 MPa L30 MP3 ‘0 (S'x " '“ EC) Mfr; (:16: +90 M95. : "v 3‘3 “ab O a: - * 6‘ -v 0'1 # A, Jig—5‘ Luge) + }*b%z.a .450 +90 ‘_(‘-".O—-2-:flo ms(_ gut-D J. '30 tam£d3® ' z s )g e79'(ok“t) -5"(D7‘=Q Gag m " ' x“ 29* 03529 — 55 - WE) * 13> ’Tg‘ #2 6n It :1 #54:) H8763. a. _ flwécnl,@+30¢m(fia 5w“ * ‘53 “fifi “923 “ [7% W3 Jame) * ado wt) ‘0 - '2. H 'MD ~ mwbficfl- gay-“HQ ‘ a 57%» m 2 f r», i H M ' xg +7§LCD 99+ MGM) (k $9 Pt. ‘1 \Q' 3.- “t8; 4‘ m 3/5 ; 8:, M76; 5 MM DYJ Ufid 4Y64 F.U4/UD UNL LlUlL tNUthtHlNU NLIU—lti—dlfllflb 11:1: 1'r ENGR 2.200- Imermedz‘ate Strength of Materials WJ. Likes Test #3 Fall 200.5 Question 3. (35 points). Square plates, each of 16—mm thickness, can be bent and welded together in one of the two ways shown below to form a cylindrical pressure vessel (height = 8m, outside diam. =« 5 m). The maximum allowable normal stress on the welds is 65 MPa. Which tank (a or b) can withstand a greater internal pressure? Please show all calculations. k—fi m rim-l —:- o” = if ‘ (’5 Wt” a 3 1 l“- wé m 1’ F_ g}: W =- Liaewo is. r A m “Hum. { 2 ? : LiEZJEE;JA r log: it Tier-Hem r ?W fl (es Meg?) L .3.- fli ; {955‘th Wm a -2. a (Emu) ZHWM 4/5 —eJ 'h‘l U5 NUU—lH—dflflb lUilfi UNL LlUlL tNUthtHlNU DYJ Ufid 4Y64 ENGR 2200- Intermediate Strength efMaterials TE“ #3 WJ. Likds F all 2005 Extra Credit. (5 points, no partial credit). The cylindrical tank below has a 3/ 16” wall thieleness and is made of steel having a 60-ksi ultimate strength in tension. Determine the maximum height h to which it ean be filled w =62.4pcf). t.“ 3M” ,. (k : tag I) firfl ) .: 5590 #1 r, .LCL -i: ‘-‘ F553;: 3/15., i “We” - Z 3‘ . n... 1 mm =- ts’m 3‘“ Sign, J L} : Jig [Yb-U4. “E- 3 . V 6, t UsmoenIWM)‘ T, : 91:3, : J i (. Niall 1%th = law: “we”? 3: mi .- i322 \A: \6 [525+ F“? J____.._.--“ F.UD/UD ith Water if a factor of safety of4.0 is desired. (szg 5/5 TEITFIL F' . BS ...
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exam_3_solns_f05 - NUU—lti—dlfllflb llflilb LIITIL,...

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