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Homework_sec_2.4

# Homework_sec_2.4 - 2.4-1 The assembly shown in the figure...

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Unformatted text preview: 2.4-1 The assembly shown in the figure consists of a brass core (diameter d1 '= 0.25 in.) surrounded by a steel shell (inner diameter d2 = 0.28 in., outer diameter d3 = 0.35 in.). A load P compresses the core and shell, which have length L = 4.0 in. The moduli of elasticity of the brass and steel are E, = 15 X 106 psi and Ex 2 30 X 10° psi, respectively. a What load P ill com ress the assembl b 0.003 ... I Z- ,. () W P yy 45~q(as):.o‘¥‘io‘i,mze (b) If the allowable stress in the steel is 22 ksi and the ’4 __ 77—- allowable stress in the brass is 16 ksi, what is the allowable S Compressive load Pannw? (Suggeslion: Use the equations derived in Example 2-5.) in.? Steel shell rﬁLj Brass core " “”"'_"" PSP3+Q ‘#d37—’i Eric/it mm'LemdLi r’tuS'i" CornPlH'SS .003; PROB.2.4-1 SS 3 SB: .0030: l7 L a ll E ( 33C 34 )(on 6) S :1 s s (P 2 as s 5': :00 0 6‘7" (0 :7 It: 5 ﬂags ) 5 AS 4/ 79 HA ._ Set/1.555; .___ _£o’3>_(_.04/90f?\) Gino") F‘-‘|—I——--\—n._n- 6—“...— I... A653 ) Le,- “ 4 foﬂtSM KT”: [Tl-it. 55 _—_ T ' somo‘o‘ 5 3 L5 53 3(1 (gs—x100) So V1.5: 328'; {'19 “73:: IL: 55 WM V2: 3-1739; No food; T-C T's: ail/£13; WM ﬁg: ll £55 (BF-41:1 sawszgzapoaaoma: mm re Vazﬁg’Ag—tﬂgoaoXec/QOQ)='- \$90.0 IL ?: PSi’Eg : 1305?. lb 2.4-8 The fixed—end bar ABCD consists of three prismatic segments, as shown in the ﬁgure. The end segments have cross—sectional area A] = 840 mm2 and length L1 = 200 mm. The middle segment has cross-sectional area A; = 1260 mm2 and length L; = 250 mm. Loads PB and PC are equal to 25.5 kN and 17.0 kN, respectively. (a) Determine the reactions RA and RD at the fixed supports. (b) Determine the compressive axial force [73571 their middle segment of the bar. PROB. 2.4-8 77M bar: we [@27L'wrenx r1555" SKPFor'fS 3:; (8L. + ?1LZ 1~ (ﬁgl—s :5) g/S a// 2646;1/ AIF [4175' 435 QA + (WA—25350;?) (250) +_ {QA’S‘S‘OCD (305)30 84/0 zmpom— , 004/0 ,. ﬁx 2 /0, SOON i gt; 2 P3 : Qﬁ~ 35—06, :2 2000, Al Q Féc :: (PL: 2f} " \$253506 :- — 000. N‘ camps-953nm, i ii . cA 1347“ V V, , ‘ 2.4-“) A rigid bar of Weight W = 800 N hangs from three equally spaced vertical wires, two of steel and one of aluminum (see ﬁgure on the next page). The wires also support a load P acting at the midpoint of the bar. The diameter of the _ _ . , a a A steel wires is 2 mm, and the diameter of the aluminum wire is 4 I .S ‘ 5:! (' 4m. .9927 = 3.1412 x 407%? What load Panow can be supported if the allowable 1., -—S 1. stress in the steel wires is 220 MPa and in the aluminum AA 2 ‘11; 1' o. u. ..T, wire is 80 MPa? (Assume E. = 210 GPa and Ed = 70 GPa.) Rigid bar of weight W —".E_:E ‘9 W=qq S Vii: 80 mac Wu v: = 34/0 r‘l'PA N9, acetic...“ so V52: anmPot awai Wt: 73.33M’P‘...,_rr __ ..p; :‘;.;_.___.s_;;::. . .i -w<hmM—-————-‘—vv-———.J—- . a-.. ...w... (I) N.- --«+«—--+~&_-_~—--~—--uw - q-M- A ill ; : v: 3:. H ......m , (2209’?ka (3./‘/;zxzo"'m~‘) 3 6 W'QM V R =v7, A = (73.33MP‘30as‘7x“ﬂag:- 9915.4 . a | 2 A V ... ____..___..._r "W T): ?A+Q?S’8OO 2 /5’o</. A/ ..4 w i i I “..4 ...r.w4......a.r.-._r:::, . ‘ .,._r a ... 1 mm. r mummwwwn “annuaww‘uWAu W‘ camp‘s—ax «4. : x x i ' 3 n l. 5.22"“. .3: I l 1 l i “at” i l l l l I l , l t | I i l , . l ...
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Homework_sec_2.4 - 2.4-1 The assembly shown in the figure...

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