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Unformatted text preview: ,__ P I 2.] Two gage marks are placed exactly 250 mm apart on a 12mm—diam '
romem 2 1 aluminum rod. Knowing that, with an axial load of 6000 N acting on the rod‘ettﬁ‘: i}
distance between the gage marks is 250.18 mm, determine the modulus of elasticmr 
of the aluminum used in the rod. '
g = AL = L — to r 250. IS  150.00 = o. '18 mm
‘5 _ $5M!” . _
E : T ' agourim “ 0' 00°72
_... T .1 , _£ 3.
A r if J2 r a," (in) = i130‘?7 hm" = [1103? #0 M
P 600 o
6 2 if = = 5305?“ ’0" Pa
6“ 53 05:2 XJO‘ 1 a '
:——_~———'——————=__¢OP E=3.GP :
E 8 0.00071 73 68 5‘ .a 7 7 CL «III
I _._....________.__......_.__...._. !
Problem 2.3 28 8041110118 wire ofSmm diameter is made ofa steel with Ea
an ultlrnate tensﬂe strength of 400 MPa. If a factor of safet H 200 G
determine (a) the largest allowable tension in the Wife 5 y of 3'2 [5 dc:
elongation of the wire. ’ ( ) the Correspom.‘
CL 2' DO 6 — _' _ 7.
H 6“ L’ “a 9“ A'ﬁdl—Ef51=rre.essw‘~ ' {9.7535 No"
R): GLA a [400xl0‘)(1?. gums“) r 725% N I a R) 725%
PM" . ' 3.1 Re
can 5: PL—W __ _ 3
AE (immSHFOcjcgooxiog) :: 50,03“) 1m 52500an w :' N Pay”: 2.145 kw Problem 217 2.17 Two solid cylindrical rods are joined at 3 and loaded as shown. Rod AB is
made of steel (E = 200 (We) and rod BC of brass (E = 105 GPa). Determine (a)
the total deformation of the composite rod ABC, (2:) the deﬂection of point B.
P = 30 MN
Real AB: FAB = *P — 30KH03N
30mm Lm : 0.2mm as : 200x10“ 5P9. 40“” titJma = 14(30):: "£06,85th : 70533xxd‘m‘ 30x 03} 0.150}
50mm 3”: M — _%* Em; A” ' (200 XIDQ}(706.3‘SX to")
53. 052x10“ w E”! BC: PM: Bow10 = 70 Ma r 70x10! N H L54  9.300;“ EEC.— [05x {9* Pa Add = 3050)“ = 1.9e35xzo3mm‘= League“;
8 1. Far. LB: h (?O¥103](Ogoo\ 6L _____ “ _' Eat/Ago (Ios‘x tO‘XtﬂéSS’tlo" ~ 101 8551 Ha“ m
(at) T041“? plepowma+tnont (la) 54.51 : 8AB+ SQ; : “IsLiqytlfc'm 1' "GJSHctrnm“ DCP}80+;091 o? Eofm+ B, 53: Sat 58: OJth mm ‘k"‘ Problem 2 20 2.20 ThejodABC is made of an aluminum for which E = 70 GPa. Knowin
= 6 kN and Q = 42 kN, determine the deﬂection of (a) point A, (b) pointg,
P
____ A I 1 Ti ’ c 1.
1 Am = q 3% . ‘q(0.020) ‘ 3H. M We: m
20mmdiameler AM. : : 15":0‘060}1 T 2' KID3 m2
0.4m ¢ P
PM : P = 6 V103 N r
Pg; : P Q = gm?— wuo‘r 39.!0“ N
'_ w dj t Lara : 0.4M Lac: 05 M
1 8A : PﬂLm _, (leoﬁﬂoq) Q
a AME. (3I4.Jé>'!0")(?ovro“) _
: IOﬁJﬁS'W"
° W l a. g = P5CLB¢_ (rseuobﬂoﬁi
EC. A515 (2.32?‘f'yf§3r7o Hoe)
: " ﬁlo.ql'f7 VIC—5 :41 (an 3a = Sm + 55.1 r W. i3§*i6‘¢io.747xzd‘m r Jamie" M
= 0.01851 9mm? '4 3L3 ' 5:3; 1  ?oG¥ *{O‘ M = "' MM 0" 0. OCH“? mm 1! '4 Problem 2.26 2.26 Each of the links AB and CD is made of steel (E = 29 x 10" psi) and . . l . . his;
umform rectangular cross secuon of 4 x l m. Determme the largest load win.
can be suspended from point E if the deﬂection of E is not to exceed [101 m = O
Arenarﬁnki
A:(—‘q)(r)= 0.251? = O
LequH:
L = 8 Eh.
. _ HQL _ 0.5me _ , _ .c
———~—————DeF°pm“+'°M‘ 5‘3" EA  L'MHO‘MOJS) ‘ I'Ebﬁwo P 8:13 e L" L ‘ gz'gmﬁm = 2.7586540” P E ' (Rﬁx:06\(Q253 DeHmlom. Pad 8. 53. 5% 53: i.css:z»:o"m
Pond C. St = 8m 5: = 2.75%esro'WL Geomehét eanaa. 5 c ” SB ‘ ‘= . g5
Pawn—1H (5';n.———»4
e = 3:1: Sc : Legﬂ no“ Tc; gnsgexmlp = O.HUI3SHD‘C P gs = SF + che = 9.75.86ufo'6P1(153(oﬂ‘fI33xJO‘P)= amaswd‘f’i UAﬂIJe a"? 5.5: 5.9 7 0.01;“.
Limknj mice a? ? 9.3793H0"P = 0.0:
P: 104; ,9}; P: Loss ka5 4 ‘\ 2.27 Each of the links AB and CD is made of aluminum (E = 75 GPa) and has a
Crosssectional area of 125 mm}. Knowing that they support the rigid member BC, determine the deﬂection of point E. EB Fan USE mam her BC as q.
'F'PQQ. C 8
5)::03'N — (can) as + (o.qq)c$x:o’ )= o F”, = 3.4315323!" M
1—1:, = 1.5625 H03 u I 2MB = o '. (0.6.4) Fan “ (OQ‘JKQ‘IOS ) . 0 pp» ,Praks AB anal an, A= ii25'mm1 = 120104.." a 3 '
=W : 1310:: do“ m = 5e
(15%]qu +25‘x l0“)  L—L—"5‘25*03)(0’36) = £0.00x104m 3 SC. (75xlo‘x lu'xlo" )
_éu _ Sg—S: _ 7200 “lb
549.0le 9 “ —'—“Ek — 'Oé‘h = 112.5 No" m! 51?: Sc+ PR6
= 60.00 no“ 4 (0.49 XML: no“)
SE:O,IOq5‘MML ‘ gm”. = lo‘?..5' >40" in ...
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 Spring '08
 LINDASCHADLERFEIST
 Trigraph, solid cylindrical rods, largest allowable tension, OJth mm ‘k, ultlrnate tensﬂe strength, wire ofSmm diameter

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