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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 ITIHRIZISEEIIZIE 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 .
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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'Kti4 ".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'"Im
270 IN 225 RN as '1ng 719” 2’1“? one: m @ ﬁCKLFn? (Liz, ﬂag. 5L: Eta : \3 TT wheeM ; ODSZ‘W) 5’ Joel’a = ,1,
spurdr C] “Lap 2:25; ‘F 25'»:an . .. ~11! are“ ‘73?” : .1. , L  3 b7 Kit.)
is. ETC? A’ 15" “saw as.
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13. CL (51m) ; 0:313:11“ : Zlmm
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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 run12. 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, andW 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—VF—I" i
_'_,.,,,_n_nm "— Lingo“: HI) Julﬂ:— 9 ~a
g2“; E98 M01 27 “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)
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”1'1... ' __U‘)919 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 ofMatezz‘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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