hw15sol

# hw15sol - ‘[problem 2_5 2.5 A nylon thread is subjected...

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Unformatted text preview: ‘ [problem 2 _5 ' 2.5 A nylon thread is subjected to a Z-Ib tension force: Knowing that E = 0.7 X 106 psi. and that the length of the thread increases by 1.1 %, determine (a) the diameter of the thread, (b) the stress in the thread. o.oHL. 0.0” _P_ _ ____&_____ '5 ‘ (0-7y106 Vac”) E. = 7.70%ch3 psi 7-70 k3; ‘A 'L = 2561-74 >4 (0" in » =L1— — E 2.13 The 4-mm-diameter cable BC is made of a steel with E ‘= 200 GPa. Knowing that the maximum stress in the cable must not exceed 190 MPa and that the. ‘ elongation of the cable must not exceed 6 mm, ﬁnd the maximum load P that can be applied as shown. - Let; = 1/ 6+ 4‘ = 7.2m m Use as A6 as “0er bag, QEMA : O 3‘5? - (6 )(‘lim PM): o P = 0.7509 ‘38: Con side/inf] afﬁouzeL jar s+r~ess 6-: WOXIO" ?a A = 7H“ = i§(0.09'+)" = [2.564 Ho" m7“ 6‘ = E“ -'- FM:- 6A 2 (I90 xlo‘\(12.5;5xzo“) = 2.322xlo‘ N A Consideriuﬁ ajﬂouwbje eponj¢+;on 5 '-‘ 'G xlo‘zm ‘ F l- <. . ((2-566WO'6XRDO xtoéxlg W53) 3 = L!— p: = Maw-c- W - ' (I S lk L ,3 7.2“, _ N Smaﬁe‘» vdue. gouef'As ' EC: 2.09/xl03 N P: 0.9506113“; {Loses‘omh‘maxw‘ﬁ 1.?82xaf‘Na/ﬂza yo 4 Problem 2. 1 5 2-15 The Specimen shown has been cut from a 5-mm-thick sheet of vinyl (E = 3,10 GPa) and is subjected to a 1.5-kN tensile load. Determine (a) the total deformation of the specimen, (b) the deformation of its central portion BC. ' Dimensions in mm ‘ A B 10‘ c D 5 : PL»r5 : (I.5xIQ,5ggl+oyl;gjfL_ P’=.. l AB ‘ x - _» P = 1.5 19404504404 = 154.24 x10“ W PLu = EAS; (3-10x iOq )(Iowo's 3(5x [(73) = 483.27 x10“ m 5CD = SE = §nge15\$3txlo~6m (a) Je¥0(ma7i.'onf 5 t gas + SR 4‘ Sco ‘3 7‘13._52¥/o"m O. howl dﬁ (by OVevr i 38‘ = 4-83. 37 x’lO-c Problem 2 23 2.23 Members AB and BE of the truss shown consist of 25-mm—diameter steel rods (E = 200 GPa). For the loading shown, determine the elongation of (a) rod AB, (b) rod BE. He LEE ’41-“ + '03" r 1.5 m FEE: l'zs w Use jun?“ E as A "Free lamein i “25:0; g-gargﬂs = 0 a“ :25 w Use +nman¢ BDE as a‘Fer £309le 9: MD 3 C) F Iso w or? PM -— (1-2)(75) .- 0 FM:- Ioo tax) ‘3 B , . _ _ I 1 I 75 w AMs = ABE: {golf-a iii-(251 : 490-87 W} F‘" * : 4%.27xio“ m1 ‘ 5° (“‘0 . E “: ZOO ><[O‘a P4 ' r V (a g = 5235’: (‘OOX’wYLm :: {L222>‘[O_1M .mzzzrwaa ) AB E Am (200 x101)(‘+‘10-87>‘10") - I 535: M — (’25x1033(l-5) : LC’IO'KlD—3I'M 1,910 mm "Q1 EA“ ' (zooxzoqxqeoswioﬂ ...
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• Spring '08
• PETRINA
• Tensile strength, 4-mm-diameter cable BC, Z-Ib tension force, afﬁouzeL jar s+r~ess, Consideriuﬁ ajﬂouwbje eponj¢+, 2-566WO'6XRDO xtoéxlg W53

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hw15sol - ‘[problem 2_5 2.5 A nylon thread is subjected...

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