test1 - 573 882 4784 P.81/ZE NHR—EE—EEEE 1E347 UNC...

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Unformatted text preview: 573 882 4784 P.81/ZE NHR—EE—EEEE 1E347 UNC CIUIL ENGINEERING ENGR 2200- Intermediate Strength of Materials WJ. Likes Te“ #1 Water 2006 EN GR 2200 w Test #1 (100 points) February 20, 2006 Student Name GELW long Student ID My signature verifies that I have completed these exam questions independently and without the aid of additional notes, equations, or materials not provided by the instructor. I have not received assistance from other students. I understand that the use of prohibited items or assistance is considered an unfair advantage and will be documented and treated as academic dishonesty. Signature EquatiOns for use: TL 5:59 6T=nr(AT)L G: E T=£ ¢=—_ J=£c4 AE 2(1+u) J JG 1/6 ITIHR-IZIS-EEIIZIE- llZIi 4'? LIIVIC I; I U I L ENE: I NEER I NE: 573 BEE 4784 F“ . [212/ Ell: ENGR 2200— Intermediate Strength oantertats WI. Likes Test #1 White?!“ 2006 Question 1. (15 points). A tension test was performed on a steel specimen having an original diameter of 0.503 inches and an original length of 2.0 inches. At an applied load of 9,200 pounds, the measured deformation was 0.0065 inches. Assume that the specimen remained in the elastic regime and estimate Young’s modulus E. x . -. t _ is a = n a c. s2 , 7): 9,2353%, J E, 920035: I; 29 . .I’ 15-: o beef-3y ’6) 0"- A 0"%ml WW, aw“ i i- 3 ‘E. e in: 0w" DQ69- "w' E'ZSWO Ll‘fi 0‘: '4 Dave” I" 2' ‘ l! A} ( I - I K 0 psi E : War-"h vi Questions 2 — 6 (True or False; circle the correct answer; 2 points each) It 1,- 2. A typical factor of safety used for design of machine components is 0.5. (T (Q 3. A typical range of Poisson’s ratio for steel is 1.0 to 1.3. (T ® 4. Young’s modulus (E) describes the relationship between axial stress and shear stress. (T ® 5. The units of axial strain sis ins/in2 (English) or Pa (s1). (r ®) 6. If a brittle material is loaded in tension, we expect significant stretching before failure. (T @ 2/6 D'KJ titld 4'Kti-4 |".lr£|,j/lfl|:l IVIHH—UJ—dlfllflb 11a: 46 LIIVIL L 1 u 1 L I:NL1 1 NI:I:H 1 NL: ENGR 220$ Intermediate Strength of Materials WJ. Likes T est #1 anter 20015 Question 7 (25 points). The round bar shown below has steel, brass, and aluminum sections. Axial loads are applied at cross- -seetions A, B, C, and D. If the allowable normal stress' in tension or compression is 125 MPa' 1n the steel, 70 MPa 111 the brass, and 85 MPa 1n the aluminum, determine the diameters required for each of the sections Please report your answer in units of mm. C Alum. c A 31%| 3 Brass wt'"I-m 270 IN 225 RN as '1ng 71-9” 2’1“? one: m @ fiCKLFn? (Liz-,- flag. 5L: Eta : \3 TT whee-M ; O-DSZ‘W) 5’ Joel’a = ,1, spur-dr- C] “Lap 2:25; ‘F 25'»:an . .. ~11! are“ ‘73?” -: .1. , L - 3 b7 Kit.) is. ETC? A’ 15" “saw as. ‘1 .1. ___H g—i .3 _. F. Pb“ 13. CL (51m) ; 0:313:11“ : Zlmm - J n -...-._—._- 61) m in. n? .—n— 93 5am»): i)? Mi“ ; A a WW .1... '9 r m .- zdw w ~—:- e— —e' 115' A: '5'- “ 135 we “1:10 ultra-W _ wad-9", 1 LLDLZH’a-“f m0 . ; 0'05?) m / 7,23 1.. 1;, 36 ITIHH—lflJ—dlfllflb 115“ 46 LIITIL, L1U1L I:NL:I1N|:I:H1NL:I D'KJ titid 4'Kt14 1" . 134/131: ENGR 2200- Intermediate Strerzgth echzzerz'als WJ. Likes T as! #1 Wlnter 2006 Question 8 (25 points). The rigid bar BBB is supported by two links AB and CD. Link AB is made of aluminum (E = 70 GPa) and has a cross—sectional area of 500 run-12. Link CD is made of steel (E = 200 GPa) and has a cross—sectional area of 600 mmg. For the 30 RN force shown, determine the deflection of (a) Point B, (b) Point D, and-W Emmi? “ 301M”) : 0, Fm‘ 90 m WWW) as) 4/6 ITIHH—lfilJ—dlfllflb llfl: 4U LIITIL, L, 1 U 1 L I:NL:I1N|:I:H1NL:I D'KJ titid 4'Kt14 1" . UD/ Ell: ENGR 2200— Im” d' t - Test #1 crme m e Strength of Materials WJ. Likes anter 2006 Question 9 (25 points). For the aluminum shaft shown (G = 27 GPa, length . . . = 125 m, o t radius = 18 mm, inner radius = 12 mm), determine the following: u 61‘ (a) The torque T that will cause an angle of twist of4°. (b) The angle of twist caused by the same torque in a solid cylindrical shaft of the same length and cross sectional area. “_‘F'_—H—‘-fifiW—V-F—I" i _'_,.,,,_n_n-m "— Lingo“: HI) Jul-fl:— 9 ~a g2“; E98 M01 2-7 “0 ”/wflgfifijflmmfl s 1‘33; NW”? «I'_-= ‘1 L » C:"cf ‘ cow “0““ -B L; “l ‘ (5,110 m n «'4, fl ommg 50 Jfia‘" 11a ' i4) .. . 'LZs’ ”hi ”1'1... ' __U‘)9-19 N ml MJJ , 3 0.193 MW 1 t?) 5/6 ITIHH—lflJ—dlfllflb 115“ 46 LIITIL, L1U1L I:NL:I1N|:I:H1NL:I D'KJ titid 4'Kt14 1" . Elb/ [db ENGR 2200- Intermediate Strength ofMatez-z‘ats WJ. Likes Test #1 anter 2006 Extra Credit (5 points). Determinfi ths deflection of Point E fmm Question 8. 6/6 ”X 1 \\ TUTFIL F1 . BE ...
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