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1.3-3 - 16 CHAPTER 1 Tension Gampressien and Sheer...

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Unformatted text preview: 16 CHAPTER 1 Tension, Gampressien, and Sheer Seiuiien1.3-2 Hanging wire of length L W??— —~— ' W = total weight ol'tungstea wire (b) WIRE I‘LWGING 'N SEA WATER “9 Yr : weight density 01- tungsten F a tensile lorce at top 01 wrre L = 190 k-Ni’m3 , F x (7’1“ m 7‘0““ l ' , 2' w*“'1l1t densitv )l‘s‘a 'zt=r F 1 Tu LIE - . l L n t L Utnnx ___ X = (W _ WOL ——-—- = 10.0kN/m" A I cross-sectional area of wire I : ”mm ”4111113 (rum 3 1500 MPa (breaking strength) 7T 7"" lSOUMPa ('alWinE HANGING IN AIR ' _ - ~ (190 _ 10.0) thn} w = y—AL ' = 8300111 .._ .- W Ulllttx = T = Tl"!- GIlium M m 77‘ l90 kN/m‘l [‘IIUH\ = 7900 m <- Problem 1.3-3 Three different materials. designated .4, B. and C. are tested in tension using test specimens hauling diameters of 0.505 in. and gage lengths of 2.0 in. {see figure). At failure, the distances between the gage marks are found to be 1'13. 2.48, and 2.78 in.. respectiveiy. Also, at the failure cross sections the diam- eters are found to he 0.484. 0.398, and 0.253 in.. respectively. Determine the percent clung-alien and percent reduction in area ei'each specimen. and then. using your own judgment, classify each material as brittle er ductile. Solution 1.3~3 Tensile tests of three materials where L. is in inches. . . An ‘ Al . Percent reductmn in area = ——‘~— ( 100) . fn m (1 A')(100 _ . ._ W Li W Le _ 1—1 . ‘ A” ) Percent elongation — Tmt 100} — Z“ “ l 100 n U (10 2 initial diameter d, 3 final diameter L0 = 2.0 in. L . . Percent elongation I (:5 ‘— l)tl0(l} {15:11 1) ...
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