ME3180_HW3_Solutions_Spring2012

# ME3180_HW3_Solutions_Spring2012 - Georgia Institute of...

This preview shows pages 1–12. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Georgia Institute of Technology ME 3180: Machine Design Spring 2012: Sections A, RCC, RPK, and RPY Homework #3 Assigned on Jan. 27, 2012 Due in class on Feb. 2, 2012 Problem 1 Using both the Brittle Coulomb Mohr and Modiﬁed Mohr theories, determine the factors of safety for a bar of ASTM 30 cast iron for the following plane stress states: a. 6x =15 kpsi, 6y =10 kpsi b. ox = 15 kpsi, O'y = -50 kpsi c. ox =15 kpsi, txy = -10 kpsi d. e. ox = -10 kpsi, 6y — -25 kpsi, txy = ~10 kpsi ox = —35 kpsi, 0",, =13 kpsi, rxy = -10 kpsi Problem 2 What is the static stress concentration factor for a round shaft that changes from a diameter of 1.2 inches to a diameter of 1.0 inches with a transition radius of 0.1 inches if the loading is: 0.] in. Mag/us a) Tension? b) Torsion? 0) Bending? . O in. Problem 3 / in I A 1.875 inch diameter shaft machined from AISI 1040 CD steel supports a bending load during operation at 1750 rpm. If the reliability must be 90%, What is the endurance limit if the operating temperature is: a. Room temperature? b. 500 °F? Problem 4 Compute the factor of safety based upon the distortion energy theory for stress elements at locations “A” and “B” of the cantilevered bar shown in the ﬁgure. The bar is made of AISI 1006 CD steel and islanded'mtension (8.0 kN), torsion (30 Nm), and bending (550 N) as shown in the ﬁgur/ec' Y Axum ’50 caer irow “’9 ’ﬂlﬁ,‘ 353%»; (Tame/“‘0 Sun: 106‘ #933 Qa‘mﬁm 67': [0 16PM x 6 aé-KZ ’2: 1 (£75: +( x7) [SHO + V5402 2 5"“ < L >' ( L ‘L'O Of~/5'L‘>\$I *7 pig/254320 43:“)th -323-3‘h‘°\$'~20¥ my ISI¢9\$1~ ' ’( 5p. [SI/493‘. J) Or; ISLfsi DRgEMﬁoedﬁm 4': "mk'osl' {7,3 0 Since {KY 30/ > t ‘E ‘ 01/39?" ar'o/ 1:103! M g3z6; 89.4 K ’ 2 f --> .5. __ g 2 .L (A O 2 8 SM: Sun, h .L ; @i ._ (—Skas'B : 7:179: 0,?420 V‘ 3‘ 5‘ loci lopsi n: [00(0 w. cg: oz 63 (SwSuQ a, {2, L M Sucgut guc M 9:8. 7| 01‘ (ma—ayl’ﬂ _’ (any a i 0033(3) 73‘1- V‘ ﬁrlgLPSi “(xy- ‘Iokfsl IS.z _ 7‘ 4,5: i +< /O> oat/lg = 75 i [215' (C—psi oz- 20 (337%! (“z 20 hPs.’ ~"5Lfsl ézokfsﬁ 6‘ 63': “5‘ ((103! M d BC : «2:. 5)‘ 42020? 4) m 51% ac, m “I m: 221;} r H5 BI [03 0:93 5420263 F S£_ ENC—psi [‘55- fi 4‘ 07‘ .. &\ 4: —-/o (V191?) i (—Io—('-Z§))2+(~/D>z Z l ’50,: '70 W5] (\$45: 475 i ’25 "P35 6% : -5‘.0 ’3‘”; a: map} 6;: «30,0 bps; 67:: ~50 [99; g: ‘3543 has; \$92 ‘24? o? a m: ‘2‘“: 4mm 0? _30 m: 3,405 “1’13 02 (£265 a VP- :m : 3,93 (g z I; (OPS, 5:191:91 4: '37 LPSI :12?“ 3~ "703' szo?6é J) :(%_ {ESL—Ehvﬂyt qt 94; 3i (:3? Mg in: L2‘ A202 {5 CS 4 30’ -1 I z m- “ ’9 g av‘ (51(ch ‘32:) H ((«o«,.__-m<w> .. z W ((61300 10‘! Piaf mt are, wes 6m ﬂe/Kff‘dje- ME3180 HW3 Problem1 50 -100 -150 -150 -100 -50 0 50 Ga (kpsi) Se: Ltkbkck&kﬁk€ Se! : t hf“)! '2% 2m 1’ l ‘ _ . Se 2 (39 HM - L” '7 "P" H3: I70 nu A043) k; 2% (\$35 0’2”: 0 \$32 ( 9' kd= \ (WU/w he: 05m (70% mama/)3 [qt 1 (miseeaamms ewCFed‘s/ 4‘35qu :A Se = (OfBLXGfSZZXOQ )(o.%ﬁ?)(\\(t}25 lﬁosi) 5) T: 500°}: Cavmi Gar T: Sow: g,er 1%: M15“ (72% (H) (mks e11”. 944, I461=O,77(o> SLH7‘560”F : .ILA SthzT : 036,5 (3'3 L151) = 34.10 {ifs} Se, : 'éocdsut‘mB = "icé‘ﬂo law” 3 42 3 1905' lam (be/41:33) 14d: | (CorreaLeJ {30V T: 950? agave.) ke: om} (70% mow/#5) : s (misc. eCCed‘s/ dsfumu’ 2 '3 PWm‘f AIS]: Iaoco (,1) stag) / P Lu k9 \ § : 230 M a = 53 “L Pm} 4’ \$397330 M‘P4 : LN hos} of: 12+Mfc 20%Woniu23u. '\ W (mo (K @ﬁwsiennj ’5 level §D,+&e 1&6??? 6‘: 9492(7) is 23 laan .9” +th \$77855 Mala/7w; a?” 24W B, ...
View Full Document

{[ snackBarMessage ]}

### Page1 / 12

ME3180_HW3_Solutions_Spring2012 - Georgia Institute of...

This preview shows document pages 1 - 12. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online