Hw 18-21 - HFH—l‘j—dlfillfilb 14 1:1 LIIVIL L1U1L...

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Unformatted text preview: HFH—l‘j—dlfillfilb 14: 1:1 LIIVIL, L1U1L I:NL'.I1N|:I:H1NL'.I D'KJ Utid 4'Kt14 1".lrill/11 6.9 through 6.12 Eartha beam and loading shown. consider scofion 11-11 and detaining (g‘ the largest shearing stress in that section, (b) the. shearing stress at point rm- ALGA 1! Q rLr '5 It' PRDPRIETARY MATERIAL. educators pannimd by McGrflW— I: I.*L1I-: Ai‘ 59:1;in n-n \l c 1:: w : Tam.“ «(mks- + Aim = 95 (rmmm‘ + ultfixmcm‘ + “-' 21:25:10" 4 ‘ff 0.0572219" + = 3152:“? m“ : 3153»: A}, + “13;; p (5a)o:)(r;¢)z] 2.3564 #10: :1 -E 10 M, ~‘ 0093(7$)(37.S) + (2)(.5'o)(:2)(fi) = 3:4.osxm‘ mm: : fie-climatic“ m 3 t T 100 MM 7“- CLICK? m mm = warm“ m = firm W- .1. (Emsswo-G Momma) Q 5 Aug. '1' 2/5113?» = 000K457C55] + (NGGKIQKC‘H = 302.3 1:103 m“? : 3,02,33,54 m3 t = 100 mm -" 0-10” 'M 1- -L W = 795x103 Pa = 765 m 4 (3153 no“ 30:). ion) a: 2006 Thu: McGrnw-Hfll Companion. Inc. All rights msmod. No part of this Manual may be. displaycd, tepmduccd or distributnd in any fonn or by any mean. without that. prior writm pumisxion or the. publisher, ar used. beyond Lb: iimitcd disuibutian m ranchers and Min for their individual count preparatiun. If ynu an: a gmdmr. using this Manual, you m using it withnut pqmissicm. HFH—l‘j—dlillfilb 14:1:I LIIVIL. Ll'v'lL IZNLnthlelNL: D'KJ titid 4'Kti4 l".EId/ll bl 6 22 I 6.21 and 6.22 For th: beam and loading shown, consider suction n-n and determine Pm em ' the shearing stress at (a) point a, (17) point ’3- .19. Iu'ps RA " F25 “- 11. kiln. Draw akam-w errflm. V p': [2 16195 'X. “IR 0 @3 '7‘ - 4, fl ¢’ 5 Cd} (b3 ' ' ' . fthis: Manual may be displayed. rapmduccd MAL. @ 2006 Th: MCGI'aw—Hzll Companies, inc. All fights figured Nu pm 0 _ _ . _ . rfigpfimgdfiy Magic:- by any manna. withuul the prior written permission of the publwiwr, Mjmd Mend Lin-11mm dl§m§unqn to Mama}: 53”: iguéifimupméimhy Mchw-Hill for their individual mun-so preparation. n‘you m a 51-min: 115mg tins Manual, you an: mag 1t wnhuut pmssm . HFH—l‘j—dlillilb l4: r_’l/_”| L||"|'._. l~_.1'~.x'1L I:NL'.I1N|:I:H1NL'.I D'KJ titir.’ 4'Kt14 l" . lilj/ l l PTDbIEITI 6 23 6.23 and 6.24 For the beam and loading shown. determinethe largest shearing stress in secficm n-n. Draw +1.;- $L¢m dingy”. lvlm: rm Lu Bari .A%m‘1§CMMWA§ (Iiwflulfimfi Afflo‘m") foam“), 4H; I swam 3L2r3:-? —_-.::-A§ _ qrrauro-B V~ 2m * W“ = 65% 15,5” I '—‘ ZAAH‘EI - (imam-Lasshm‘ W: 1 4. : 5.2133 33.1.19“ mm? '-' .5313? " 1D" M‘1| Q “-‘ EA} ‘—' Sig—9403 m»? 2' fi‘fiffi/D-L .113 t- : (2&3?) = 4‘5 mm = 40 ”10.2 m ' m- __ HQ _ (cram a3 Smelo‘g) _ 4 _ TW' It ” (fizzaguo‘moxwa) ' 3231110 Pd“ ’ 32'7MP‘1“ PROPRIETARY MATERIAL. E153 1005 Th8 MEGRW-Hifl Companies. In»; All rights mxuwed. No pan of this Manual may be display-ad, repraducad or distributcfi in any form Or by any means. without the prior writtgn pmfission a? 11:: publishtr, Gr usgd beyond the; limimd distribution In [cmhcfl and cducatms pcrmitmd by Mchw-Hill fur lhcir individual mums pupal-alien. if you are a student using This Manual. you are using it without pmigsiom HFH—lfl—dflflb l4idfl UNL LlUlL tNUthtHlNU DYJ Ufid 4Y64 F.U4/ll _ __t_ 2. I " '2 (HDVZSG‘) '- éC’UDXJS-byfi 1: L54- [£17fl/D‘ Ml“? '-“ IS‘LIE? :19" m7 Q: A5 2 (Ion XSa'lfluafi _— 59.93193 h 3' an L — 3 ‘ 5002(5) ‘ m __J.-_ V: M1757... ‘5 v 1 corn" 352nm“ Q 500 HIE)“ = t0.7?-'iv-rlog N HFH—l‘j—dlfllflb 143.11 LIITIL, LlUlL IZNLllNIZIZHlNL] D'KJ titid 4(64 |—'.lr£|::-/ll Problem 535 635 An extruded almfinum beam has the cross section sham. Knowing that the venical shear in tbs bcam is 150 RN, detennine the shearing stress at (a) point a, (1:) point b. L“ n ;—,_(sa)(cs)5 = mama no“ m" = I. ”I46 :10" W!“ to» Q: Ag. + 2A3. = (Senna?) + (2K12)(9o)(2o) r 31.632: 101" mm? = 31. 53:31:04- m t : (2)02) :14 p...“ = 6.024». - £499” 0503103)(3L632wo“)_ : L 75““ ILJ (Lawawwxamn - 01.6210 P4. 3 = mm; MFA.- in Cb) ‘ CPL? A3. = Lsmmcsflr rzflszw-zdmn“ = 114323-10" M5 =' 12...»... 'i' D-DIQH 3 2.4 2 I " = “50:10)“ 3 ”D 3: 7192I0‘Pa, = 793 HRH. [L946- *19")(G.0m) i momma-my MATERIAL. n 2006 m: Mchw-fiil'l Companies, inc, All rights manned. No part uftlu‘x Manual may b: displayed, reproduced m- aiguihumd in any fol-m or by any means, wimom m;- prior wfim pmssion of thc publishcr, or new! hayond uh: limiwd distribufiun m [cachm and cd‘ucamfg pug-aim by McGrawHil] for mgir individual mum: pmparatiun. If you an: a studmt using this Manual. m m 1.1.5ng it widmut pmission. HFH—l‘j—dlfllflb 143.11 LIITIL, LlUlL IZNLllNIZIZHlNL] D'KJ titid 4(64 l—‘.l¢‘|b/ll 7.5 through 7.3 Fertile givm stale armss. determine (a) m“ WP“ Wm”! 05) ‘ HFH—l‘j—dlfllflb 143.11 LIITIL, LlUlL IZNLllNIZIZHlNL] D'KJ titid 4(64 |—'.lr£|'(/ll «N. $3.: .m' 7.9 thmgh 7.12 For th: given state ofstms dam-mine (a) th: micmfiuh afthe planes ofmmdmmn implant shming status, (I!) the maximum ill-plan: sharing stress. (a) the mmding mama! stress. 5;: aka; 6325513; r] l :- in NI ”1 CQ) +51“ 295 127;, ' (2m: h 631.“?3" as _ 2. £326”) + 13" “‘ LEG) Hen—1‘: mus: *3 (C3 6-)“, 6M : HFH—l‘j—dlfllflb 14: dd Problem w (on 9 : —zs° Ln‘j LIITIL, LlUlL IZNLllNIZIZHlNL] D'KJ titid 4(64 |—'.lr£|ti/ll 7.13 through 7.16 For the given gm of strm, diam-mine the nmmal and shaming . stresses aflcr the element shown has been rotated though (a) 25 " clodcwisc. (1:) 10° mantel-elm. Er, : C) 65"?“20 HPa. fijr—SOMPQ LE6- .- —40 Ma 61359 = 4:: MPq. 6",“: Lfia- S—flzflcos 29 +Tys£n29a my” .. M sin 243 + “a, Mae 6&{153‘24641 1.- wflfiza — TESQII‘l-ze 29 = —50° «6,, .- * 40 + 40 cos (“5am") *SOSEH 050°) -.- 24.0 MFA ’M‘ :- -- 4-0 sin (-SO°)#50 4:95 (-50”) 7" - L5” MFA — Lu: - Lin mc-sa”) + 5:25;“ (-59“) 7 — 104.0 MR» 29= 20 + 40 59.5 (nor) — .50 sinCED“) = — 19.5 MPq -— 40 sin (120') - 50 caafflfl") =’ *- GOJ'! MPo. - ‘io m. (20' 3 +50 sin (20") = - 90-5 MPn. PROPRIETARY MATEM cc: 2006 The Mcan-Hifl Companies, Inc. All 1'1th mmad‘ No part ahhi: Manual may be displzyud. mpmducad or dish-ihutnd in any form or by my mum. without “my-flier written pmniasion of til: publishcr, Ur u-wfl bfiyand lhc limited di§fit§utioln to machcl": am educators pmim by MgGl-an-Ifl] m1- thcir individual com-$1: prcpmtion. If you an: :1 student using this Manual. you at: 1:51:15 1t thhmll purrmssm. HFH—l‘j—dlillfilb 14: dd LIIVIL. L.1'v'1L I:NL7I1N|:I:H1NL7| D'KJ titid 4'Kt14 l" . El‘j/ l 1 Problem 7.15 7.13 through 7.15 For m: given stat: ofsn'ess, data-min: the normal m1 shearing guesses after the elemmt shown has been rotated {hm-1:31:02) 25° clockwise. (b) 10" counterclockwise. 12 1:51 5; z 8 ks: 6:3 : ~12 1:58 115‘}: ‘5 k5" — ~21”: Egg-L: :0 ts: 6,2 ”=1 gig—5:1 + fizfl cos-'29 + ”(an 5M 26.) — %—§1 5f" 29 + '2'“, ms 29 — 5f £13.29 — 1;, 53.129 25‘ = -50° '+ 10 EDSC'SOE) — G 5"" (-50-) '10 531-4650”) — G (:05 ('59.) —'Z - lo cm. (-5'0') + '3 5m ("SW3 26 = .20” ' Q + 10 cushy} - G 53H(99°1=‘ 5.341165; ‘— ID .5?“ (7.5") '- G Lia-:5 (101.1) : r6106- k5; — '2. u to Cor-(10') + c; an» (20") = - 13-» ksi rmrnmrmv MATERIAL a 2006 The MGM-Hi“ Ema-11's, Inc; All rights rcmvtd. Nu pan ofthis Manual mm b: displaycd, rapmduwd or diam-mum in my fen-n or by any mcm, without ’31: Plic'l‘ wnrmn pmpmsmn 0" “16 15111311511“. or usad bayond 1hr. limited distribution to tcachcrs and macaw” mined by McGraw-Hili fin- :hn'u- individual mm preparanon Ryan at: a student using this Manual, you are using it Mum: permission. HFH—l‘j—dlfllflb l4idd LIITIL, LlUlL IZNLllNIZIZHlNL] D'KJ titid 4'Kti-4 |—'.1lfl/ll Problem 7.27 7.27m the. am: uf'planc m 31mm determine ((1)111: 1mm value of 1' for whichthemmdmumin—plane sheaflngsuesaisequalmurlessthan 12 ksi, (b)the com-Spending principal stresses 8 ksi 731: 61"1’01453; 3"”)3k519'rfi'? TH$E1/[email protected]+tJL=1(UD-F—FN)) +2131 r m) = :2 k5.“ C61“) 213: (21*71 fl 1‘24“: --n Problem 7.28 7.23 For the state of plane sums shown, determine the largest value of a for which the maximum iii—plan: shearing stress is equal to ufless than 75 Ma. firQDHF’gJ 63p '5'” ’z’wrzoMPa. Lei Li — M The» 62.}: 6;u,2u c :t /MR1_I2;; = .i thzo‘ = 72-23% MPG.- 63: Sgt-#2:; .- 60 : (QM-12.234) = —34;é HP»; at“ zos'MPa. Lnrflcs‘i “PM a? E3" (5 “Equiwej; 6"] 3-. 2.95 Has: A PROPRIETARY MATERIAL. ID 2006 m MfiGfiW-Hm Cmupauies. Inc. All rights: maimed. Nu part of this Manual may be. dispiayad, rcpmducad 0: disfibulfidin mar farm or by any mam, Without th¢ Prior Wfiflm permission ofthc pnbliahcr, or um! bcyund til: limihcd disnibution m machcrs and bducamrs permitted by Mcfimw-l-[ili far {hair individual course pmyantium If you an: a studcm aging Ibis Manual, yau m using it without pmnjagiom HFH—l‘j—dlfllflb 143.12% LIIVIL. LlUlL tNLallelelNL: m ‘ ""I‘ I“. ll/ll \ - - ' hevaiueof r forwhch the 7-30 7.30 For the: state ofplana stress shown, determine (an a, . . . em in—plane meaning stress parallel m the weld is zero, (1:) the carrespondmg pnnmpa] stresses. EKrXQ HP&J_'"6:3=2MPRJ 2:93"? 1:2 MP“ 3 3 Ell-ME f”?! = D _;| X‘_Aif€c«+fuhfl f5. 5.. Ph‘nccipai alfrga'h‘afl. +a.“ 26? : "'—'—-12' L“ I . ‘ , (ea—q: (CL) Tu: = 5"‘(61'6‘9 )‘lfinzap ‘= é‘CiQflQ‘) +dwx (—30“) -.:- _ 2‘ 3a,.“ HPR. fl 1:: = (fig: 1+3? 3 [Lg-1+ 2,3‘1" .— 5,7735 HPa 6am =* iCC—Ehégl) 7- 7 MFA 12.77 MID-a. I. 22‘; MPH. - ' ' . ' No part. of this Manual many is: displaygd, repmdumd MAL. m 2006 The Mcfiraw H111 Coma-111$. {139 All nights mad. . _ . _ _ mgiffgfinimfo‘gw by my films, with“: than: pl'im' mitten pmlm of th: publishn, ur_us:d yea-and 1b: 1mm! dn'tmbjtlmgaw rulings};- mmrfpcm-Elmghy McGraW¢Hill fur dish- individuul cams: man-mm. Ifyou m a mam: usmg This Manual, you an: 14mg : w on gum: TDTRL P.11 ...
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