CEE 372 Assignment 7-9 solutions - .1 1 ancfi moment...

Unformatted text preview: .1 1* ancfi moment diagrams for the beam 0:” a; “‘g4‘4(g03; K“... B (. .2 __ TKF? ”.7. 29 .2 70:90 " K 2 mg _ n/ )gobu (5C3 33331.“ f “- 300963333”) . 2933313 CEE 372: Strength of Materials Assignment No. 8 (Answer all questions. Please provide all steps and neat sketches Whenever appropriate) Solve the following problems from your text book (Gere 7th Edition; NOTE: NOT SI Edition). 5.5-17; 5.6-4; 5.66; 5.11—5; and 511-8 Lgiiw MN m gggé’zxufi Mn» N M Efifml; fl; £53, 9199;? Q : QO’E’S” (/1222) 2 £2 (%)C 25:54”? “252:2 53222 2 M522 .2 :@2 swab fly ‘ai .po 262222;.) _ (5:222 . ’27 222 W“ 9WW‘ I Tang/C E 743:) 2.3 Edwf— ELI '10 x23; ((-51 gm “2:: 14f» 2, 2.9:“ 2:2”2 5MW 32221 _ (p? . Z2 . L2” / J 7 M i " .2 $5252 $4322 2 22 “322* Hyfwf} Ewké) m E73 $422222“) :12 1} 2? 555”? K 2 22 “9 ”I” 22 <; , W "‘ 222 2w~wfiflfi:2:as22222222:n25 (l ..... $951525“ :3 1222/) W “m“ <3 m ~+ _.L W» ? Lew C NH: *‘ M ‘ g k w} m A 9'» (want), Max/aifliifimwjz F“ 'wrZ... M,” x.. L3) E CEE 372: Strength of Materieis Assignment No. @ {Ahswei‘ eii geestionsi Hesse provide aii steps amt heat sketehes whehevei‘ apps-epsiate} Question 1: Find the maximum. normal and shear stresses for which the beam shown. below should be designed for? Question 2: The cross—section section shown below is to carry a shear force of 200k and a bending moment of SOOkuft, respectively. Compute the following: (1) Max. tensile and compressive stresses on the beam and where they occur? (2) Max. shear stress and where it occurs? are”; H . W~fi , '7‘ - - i s 3.3 {an H Question 3 . The build—up I beam was designed to can‘y a shear force and a bending moment of 200k and. 500k~ft The top flange was nailed and the bottom flange was glued. (I) What should be the minimum shear strength of the giue? (2) The naiis were used at a spacing of 12” and their shear capacity is 100k. What is the factor of safety against failure of the nails? NM Question 4 - Circle the correct answer The bar below was applied with two equal loads P 3 30k as shown. Point C is located at 8’ from left and Uni] m Mimi and I.“ = 19ksi r... s. :2; £9 is. \a: (E? m i if “I? a T” (I) Assuming N0 SELF WEIGHT (1) The max. Shear Force this beam should be designed for is: (30 i I)k TRUE FALSE (2) The max. Shear Stress occurs at the at center of the beam TRUE FALSE (3) The max. BM this beam should he designed for is: (120 j: 2)k~i’t TRUE FALSE (4) The max. Bending Moment occurs at C TRUE FALSE (5) Section Modulus required to support the beam is: (60 :i: 2)in3 TRUE FALSE (II) It was decided to use an I beam W12x50 as shown in figure. Case 1: Assuming SELF WEIGHT (1) The max. Shear Force this beam should be designed for is: (36 i1)k TRUE FALSE (2) The max. Shear Stress occurs at the at center of the beam TRUE FALSE (3) The max. BM this beam should be designed for is: (123 :i: 2)k~ft TRUE FALSE (4) The max. Bending Moment occurs at C TRUE FALSE (5) Section Modulus required to support the beam is: (60 i 2)in3 TRUE FALSE (6) This beam is safe - TRUE FALSE (7) The maximum normal Eehsiie stress in this beam is: (22 i- 2)ksi TRUE FALSE (8) The maximum normai compressive stress in this beam is: (22 i 2)ksi TRUE FALSE (HI) It was decided to use an I beam W1 2X50 as shown in figure. Case 2: Assuming SELF WEIGHT (1) The max. Shear Force this beam should be designed for is: (30 i l)k TRUE FALSE (2) The max. Shear Stress occurs at the at center of the beam TRUE FALSE (3) The max. BM this beam should be designed for is: (123 i 2)k—ft TRUE FALSE (4) The max. Bending Moment occurs at C _ TRUE FALSE (5) Section Modulus required to support the beam is: (40 i: 2)in3 TRUE FALSE (6) This beam is safe TRUE FALSE (7) The maximum normal tensile stress in this beam is: (100 i 2)ksi TRUE FALSE (8) The maximum normai compressive stress in this beam is: (100 i 2)ksi TRUE FALSE «53 3‘. :i. 63 5, Rd NE 3c SN m: N we. we? 3:. $2 a.” 3. m5. E. SW 3.. 3w. EN an 5. $3 a: 3:. EH fl: «,3: :2 :m we. “‘3. a.” N3 m: w? EA Em M3 Em m$ 5 «L; ovfi fiN— a.” E 2v 2; mg m: .mN hfim mm” a: NE. 26 M .3.“ 0.3 EH 3. 3a a: mom .é a; gm %& a: 3% 3: m? 3H 33 m .m R. 2: 3w EM. 3. .3 WE EC :3. w 3: fig avg; E «m 2% “S .5qu DE Em E at E WNW Nmm c2 own S... 3 ME w? E E : m: 8: E E: :N am _ N NR , 8: 3 ”u E: End Deva m9»: mmvd Emd OFIO awed mww‘o flag and c3. my a E c max: cwcé mwm ,D a Ed 932“ m _ h ,o 30.0.: mde c _ wd can: mhwd cmm; ace.— mE‘v mvmd ohmh Dmmd mmmé mmm‘a 38¢ Ewan 95m :26 o _ m,m Dom: anew cmmd emodw :35 95%. com: Emma 53f.» cm: x chmd m2 :5 5n: mmo‘m mmmd 95.x Ema Om _ .0. 93¢ nfiw‘wm camfi mumd mwmd DE a, mime mmw‘n: mwvd nmvdm mmmfi mm: mm; mcm‘x mmwd End 9 m: www.m— mchd Emma: nwmc mE‘E mafia JJMHJ-‘mJ JJ.E.. J wmfiuwfl gm?» mwmfimm ..mmhm‘fiamnhuaxwm v.0 mm_._.xmn_0mm E m. xEZwoifi Amara EEEES ti Fa a; 2 Ea R _ m3. mu 2: mm H 3% N. a.“ E. m: 5. n: S 5..“ 3 2: mm 62 av. owm E a: 3” Eu Mm 3N mm E». a: m; a f; R fiw K in :2 m Wow E m Em 3: HE E ....S a: gm m2 9% :N 2 .iIT..EJJ.: NE a” “whim “an—.— EA Emma“: on: 333$. mm: .33. umcacbumi $ch 2:; quEmEm Tm mEfl .fiEca PE sz an." M; $54. $52. EXEE cmXEE vaEE ocxmts Exfia 338:5 omxflg «.mxfli c.3223 mmeE mmxii cflXEE meEE’ thozs EIXEE, DEXEE :‘XE‘S owmxwmg g X v~>> Mm: x “NP; Nmm X mm‘s a :NXo 2X56; 5me mmxmg mme‘S tcmwnémmga :9:wa ma 365 H 35/ H u BEES: 5:03, .I. m. Etna—Co “5&9: H ~ Eon—302 ,zfim ..E% .3: ,zcmanmcoU 52w .3 3:335 562.92,“. E: E can t a .:§LE:._€U 33%;? FEB: mm: :m 335 9:525 8: ES“ «5:928 v.63 335 32E :2 St E mEcha @233 E ..utfifi 2: 2 En .5 ma muEumEm Em mummy? _u2m-?,:zu:.:m an“ who mafia»; 2: .335 wzmaozfiw E: E mmmfiim Amwkmhmfimnhwmdmywm Questior. § @0 paints) ’ Find the maximum shear and normal stress for which the beam shown be§ow shQuEd be designad for? L3» _ Mj/gaiéfl . w... MmfiWh-stwm 'WWWW""m""“"""""" W “W"-unw-w-n-n‘m...‘”WWW W gagififlyu—Mmmm m WWW Question 4 — Circle the correct answer The bar beiow was applied with two equal loads P= 30k as shown. Point (3 is located at 8’ from left and. Um — 243(5E and Tan— w Itiksi ? a. g 9 it... _-? Cassi» (1) Assuming seem WEiG-H'i“ (1} The max. Shear Force this beam-should he designed for is: (30 :l: 1)]; @D FALSE (2) The max. Shear Stress occurs at the tit-center of the beam TEETE @fi {3) The max. BM. this beam-should be designed for is: (120 :t 2)}C-fi (II/RUE“; FALSE (4) The max. Bending Moment. occurs-at C {gig} FALSE (5) Section Modulus required to support the beam is: (66 i 2)'in3 £13139 FALSE (iii) it was decided to rise as i heath WiZXS‘S as shown in figure. Case I: Assuming SELF WEIGHT (1) riI‘he' mas. Shear Force this beam should he designed for-is: (30 i 1)]; FALSE (2) The max. Shear18tres's occurs at'the at center of the beam E-ALSE 3' (3) The max. BM this beam should he designed for is: (123 i 2)ls:~ft FALSE (4) T he max. Bending Moment occurs at C FALSE-:59 (5) Section Modulus required to support the beam is: I (60 i It)“:3 EXISE (6) This beam is safe FALSE (7) The maximum nor-ma} tensile stress in this beam is: (22 :l: 2)l{si FALSE {8) The maximum normai compressive stress in this beam is: (22 :l: 2}itsi FALSE (IE) it was tiecitied to use an. i beam WiZsSii as show: in figure. Case 2: Assuming secs WEIGHT . (1) The max. Shear Force this beam should be designed for is: {30 1 13k F532??? (2) The max. Shear Stress occurs at theat center of the beam EALSi? {3) The max. BM this beam should he fiesigned for is: - (123 i 2)it~i't _ _ _ FAESE (4) The max. Bending Moment occurs at C _ TRUE fig) (5) Section Modulus required to support the beam is: (49 :3: 2)iri3 TRUE (EELS? (6} This beam is safe TRUE @29 {7) The maximum normal tensile stress in this beam is: (100 i 2)i<si TRUE @@ (8) The maximom normal compressive stress in this beam is: (100 i 2)ltsi TRUE FALSE ...
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