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A load of 22 kips is gradually applied to a 2-in round rod, 10 ft long. The total elongation is observed to be 0.03 in. If the stretching is entirely elastic, A. what is the modulus of elasticity, and B. what material would you judge it to be, wrought iron or stainless steel? C. how much energy is absorbed by the rod?

A load of 22 kips is gradually applied to a 2-in round rod, 10 ft long. The total elongation is observed to be 0.03 in. If the stretching is entirely elastic, A. what is the modulus of elasticity, and B. what material would you judge it to be, wrought iron or stainless steel? C. how much energy is absorbed by the rod?

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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A load of 22 kips is gradually applied to a 2-in round rod, 10 ft long. The total elongation is observed to be 0.03 in. If the stretching is entirely elastic,

A. what is the modulus of elasticity, and

B. what material would you judge it to be, wrought iron or stainless steel?

C. how much energy is absorbed by the rod?

D. Suppose that the material is aluminum alloy 3003-H14 (Table AT 3, Faires); compute its elongation for the same load. Is this within elastic action?

MOD. ULT. STR., ksi END. STR., S. ksi at No. cycles ELONG. % ROCK. DENSITY X 106 2 in. MATERIAL CONDITION TEN YD. MOD. PERCENTAGES OF ELEMENTS s, ksi (ASTM No.) EL. EL. SH. HARD. Ib/in. (i) Ex 10-0 G x 10-6 Su Sus COPPER ALLOYS 15 Admiralty brass (B111) Aluminum bronze (B150-2) Aluminum bronze (B150-1) Beryllium copper (B194). 22(a) 70(a) 18 at 107 32 at 3 x 10 5.8 6.5 6.5 Annealed 53 65 F75 0.308 71 Cu, 28 Zn, 1 Sn 81.5 Cu, 9.5 AI, 5 Ni, 2.5 Fe, 1 Mn 91 Cu, 9 Al 1.9 Be, 0.2 Ni or Co 11.2 Extruded rod (b) 120 16 12 B100 0.274 9 28 at 8 x 107 35 at 10°(h) Annealed, 800°F 100 15 25 B90 0.274 9.2 HT 175 130 19 7.3 5 C37 0.297 9.3 16 IH, rod Spring H(g) 2" Rod, H H, rod 22 at 5 x 10" 21 at 15 x 10 20 at 10 30 at 10"(g)(g) 6 Cartridge brass (B134-6) Commercial bronze (B134-2) Free-cutting brass (B16) Manganese bronze (B138-A) 52(a) 62(a) 44(a) 65(a) 70 42 42 30 3 B80 0.308 11.1 10.2 70 Cu, 30 Zn 90 Cu, 10 Zn 61.5 Cu, 35.5 Zn, 3 Pb 58 Cu, 39 Zn, plus 72 17 6.4 B78 B75 0.318 55 32 14 5.3 32 0.307 11.4 75 48 16 6 25 B80 0.302 11.8 15 H, rod H(g) H, rod Н, 1° гod H, 1" rod H (g) 15 at 3 x 10°(b) 5.6 48(a) 85(a) Naval brass (B124-3) Nickel silverB.. Phosphor bronze (B139C) Silicon bronze (B98-B) 70 43 25 B80 0.304 0.314 11.8 60 Cu, 39.25 Zn, 0.75 Sn 55 Cu, 27 Zn, 18 Ni 92 Cu, 8 Sn 97.7 Cu, 1.5 Si, plus 100 19 18 3 B91 B85 9.3 16 65(a) 35(a) 31 at 10°(r) 25 at 10 6. 6.4 80 33 0.318 10.1 65 45 17 10 B80 0.316 9.9 15 5.6 Yellow brass (B36-8) Yellow brass (B36-8) 55 36 40(a) 11 at 10°(z) 48 B55 0.306 11.3 65 Cu, 35 Zn 65 Cu, 35-Zn 61 40 50(a) 15 5.6 23 B70 0.306 11.3 ALUMINUM ALLOYS 9 at 5 x 10 10 3.85 3003-H14 (M1A) 2014-T6 (CS41A) 2024-T4 (CG42A) 6061-T6 (p) (GS11A) 21(c) 60(c) 47(c)(p) 40(c) 40(e) 0.099 135(e) 0.101 120(e) Strain hard. 22 14 16 12.9 1.0 Mn, others 3.9 Cu, 0.5 Si, 0.4 Mn, 0.2 Mg 3.8 Cu, 1.2 Mg, 0.3 Mn 0.15 Cu, 0.8 Mg, 0.4 Si 10.6 10.6 70 42 18 at 5 x 108 4.0 HT, aged HT, aged HT, aged 13 20 12.8 68 41 20 at 5 x 10 4.0 0.098 13.0 45 30 14 at 5 x 10 10 3.75 17 95(e) 0.100 12.7 10.4 23 at 5 x 10 17 at 5 x 10 9 at 5 x 10° 3.9 72(c) 24(c) 7075-T6 (ZG62A) 10 HT, aged Die casting Sand casting 82 40 48 150(e) 0.101 70(e) 0.095 80(e) 0.098 12.9 5.1 Zn, 2.1 Mg, 1.2 Cu 9 Si, 0.4 Mg 1 Cu, 4.5 Si, 0.4 Mg 360 27 10.3 3.85 1.8 11.7 355-T6. 35 28 25(c) 10.3 3.85 3 11.7 MAGNESIUM ALLOYS 6.5 33(c,k) 36(c,k) 19(c,k) Extruded bar 17 at 5 x 10 2.4 45 50 40 20 16 AZ61A-F AZ80A-T5 E72 0.065 14.4 6 Al, 1 Zn, 0.2 Mn 16 at 5 x 10a 14 at 5 x 10 (2) 6.5 2.4 Forged, aged Sand casting 23 6. E82 E77 0.065 14.4 8.5 Al, 0.5 Zn, 0.15 Mn 9 Al, 0.7 Zn, 0.2 Mn AZ91C-T6 6.5 2.4 5 0.066 14.4 LEAD AND TIN ALLOYS 3.9 at 2 x 107 4.2 20(e) 0.36 10(e) 0.36 17(e) 0.265 (m) 5 At 68°F (1) At 212°F (1) At 68°F (1) 10 Babbitt (B23-46T-8) . Babbitt (B23-46T-8) Tin babbitt (B23-49-1) Sye = 3.4 80 Pb, 15 Sb, 5 Sn 80 Pb, 15 Sb, 5 Sn 91 Sn, 4.5 Sb, 4.5 Cu 13.3 5.4 Sye = 1.7 (m) 27 13.3 9.3 Sye = 4.4 (m) 3.8 at 2 x 107 7.3 MISCELLANEOUS Hastelloy B K Monel Platinum alloy 50(c) 100(c) 66 at 10°(n) 42 at 10 26.5 26 10 20 35 90 B93 Sand cast Cold dr., aged Annealed 0.334 5.55 7.8 5.0(y) 62 Ni, 28 Mo, 5 Fe 66 Ni, 29 Cu, 3 Al 10 Rhodium 140 98 C30 0.306 45 90(e) 0.722 130(c) 158(c) 42 (f) 61 (f)) 8 at 10 15(u) 15(u) 2(x) 12 Annealed (s) Hardened (s)(v) Die cast (w) 135 Titanium (B265, gr. 5) (t) Titanium (B265, gr. 5) (t) Zinc (AC41A) 0.160 0.160 91(e) 0.24 5.8 6 Al, 4 V Hi. temp. aero. service 4 AI, 1 Cu, 0.04 Mg 170 7 5.8 47.6 38 7 15.2 ...
Transcribed Image Text:MOD. ULT. STR., ksi END. STR., S. ksi at No. cycles ELONG. % ROCK. DENSITY X 106 2 in. MATERIAL CONDITION TEN YD. MOD. PERCENTAGES OF ELEMENTS s, ksi (ASTM No.) EL. EL. SH. HARD. Ib/in. (i) Ex 10-0 G x 10-6 Su Sus COPPER ALLOYS 15 Admiralty brass (B111) Aluminum bronze (B150-2) Aluminum bronze (B150-1) Beryllium copper (B194). 22(a) 70(a) 18 at 107 32 at 3 x 10 5.8 6.5 6.5 Annealed 53 65 F75 0.308 71 Cu, 28 Zn, 1 Sn 81.5 Cu, 9.5 AI, 5 Ni, 2.5 Fe, 1 Mn 91 Cu, 9 Al 1.9 Be, 0.2 Ni or Co 11.2 Extruded rod (b) 120 16 12 B100 0.274 9 28 at 8 x 107 35 at 10°(h) Annealed, 800°F 100 15 25 B90 0.274 9.2 HT 175 130 19 7.3 5 C37 0.297 9.3 16 IH, rod Spring H(g) 2" Rod, H H, rod 22 at 5 x 10" 21 at 15 x 10 20 at 10 30 at 10"(g)(g) 6 Cartridge brass (B134-6) Commercial bronze (B134-2) Free-cutting brass (B16) Manganese bronze (B138-A) 52(a) 62(a) 44(a) 65(a) 70 42 42 30 3 B80 0.308 11.1 10.2 70 Cu, 30 Zn 90 Cu, 10 Zn 61.5 Cu, 35.5 Zn, 3 Pb 58 Cu, 39 Zn, plus 72 17 6.4 B78 B75 0.318 55 32 14 5.3 32 0.307 11.4 75 48 16 6 25 B80 0.302 11.8 15 H, rod H(g) H, rod Н, 1° гod H, 1" rod H (g) 15 at 3 x 10°(b) 5.6 48(a) 85(a) Naval brass (B124-3) Nickel silverB.. Phosphor bronze (B139C) Silicon bronze (B98-B) 70 43 25 B80 0.304 0.314 11.8 60 Cu, 39.25 Zn, 0.75 Sn 55 Cu, 27 Zn, 18 Ni 92 Cu, 8 Sn 97.7 Cu, 1.5 Si, plus 100 19 18 3 B91 B85 9.3 16 65(a) 35(a) 31 at 10°(r) 25 at 10 6. 6.4 80 33 0.318 10.1 65 45 17 10 B80 0.316 9.9 15 5.6 Yellow brass (B36-8) Yellow brass (B36-8) 55 36 40(a) 11 at 10°(z) 48 B55 0.306 11.3 65 Cu, 35 Zn 65 Cu, 35-Zn 61 40 50(a) 15 5.6 23 B70 0.306 11.3 ALUMINUM ALLOYS 9 at 5 x 10 10 3.85 3003-H14 (M1A) 2014-T6 (CS41A) 2024-T4 (CG42A) 6061-T6 (p) (GS11A) 21(c) 60(c) 47(c)(p) 40(c) 40(e) 0.099 135(e) 0.101 120(e) Strain hard. 22 14 16 12.9 1.0 Mn, others 3.9 Cu, 0.5 Si, 0.4 Mn, 0.2 Mg 3.8 Cu, 1.2 Mg, 0.3 Mn 0.15 Cu, 0.8 Mg, 0.4 Si 10.6 10.6 70 42 18 at 5 x 108 4.0 HT, aged HT, aged HT, aged 13 20 12.8 68 41 20 at 5 x 10 4.0 0.098 13.0 45 30 14 at 5 x 10 10 3.75 17 95(e) 0.100 12.7 10.4 23 at 5 x 10 17 at 5 x 10 9 at 5 x 10° 3.9 72(c) 24(c) 7075-T6 (ZG62A) 10 HT, aged Die casting Sand casting 82 40 48 150(e) 0.101 70(e) 0.095 80(e) 0.098 12.9 5.1 Zn, 2.1 Mg, 1.2 Cu 9 Si, 0.4 Mg 1 Cu, 4.5 Si, 0.4 Mg 360 27 10.3 3.85 1.8 11.7 355-T6. 35 28 25(c) 10.3 3.85 3 11.7 MAGNESIUM ALLOYS 6.5 33(c,k) 36(c,k) 19(c,k) Extruded bar 17 at 5 x 10 2.4 45 50 40 20 16 AZ61A-F AZ80A-T5 E72 0.065 14.4 6 Al, 1 Zn, 0.2 Mn 16 at 5 x 10a 14 at 5 x 10 (2) 6.5 2.4 Forged, aged Sand casting 23 6. E82 E77 0.065 14.4 8.5 Al, 0.5 Zn, 0.15 Mn 9 Al, 0.7 Zn, 0.2 Mn AZ91C-T6 6.5 2.4 5 0.066 14.4 LEAD AND TIN ALLOYS 3.9 at 2 x 107 4.2 20(e) 0.36 10(e) 0.36 17(e) 0.265 (m) 5 At 68°F (1) At 212°F (1) At 68°F (1) 10 Babbitt (B23-46T-8) . Babbitt (B23-46T-8) Tin babbitt (B23-49-1) Sye = 3.4 80 Pb, 15 Sb, 5 Sn 80 Pb, 15 Sb, 5 Sn 91 Sn, 4.5 Sb, 4.5 Cu 13.3 5.4 Sye = 1.7 (m) 27 13.3 9.3 Sye = 4.4 (m) 3.8 at 2 x 107 7.3 MISCELLANEOUS Hastelloy B K Monel Platinum alloy 50(c) 100(c) 66 at 10°(n) 42 at 10 26.5 26 10 20 35 90 B93 Sand cast Cold dr., aged Annealed 0.334 5.55 7.8 5.0(y) 62 Ni, 28 Mo, 5 Fe 66 Ni, 29 Cu, 3 Al 10 Rhodium 140 98 C30 0.306 45 90(e) 0.722 130(c) 158(c) 42 (f) 61 (f)) 8 at 10 15(u) 15(u) 2(x) 12 Annealed (s) Hardened (s)(v) Die cast (w) 135 Titanium (B265, gr. 5) (t) Titanium (B265, gr. 5) (t) Zinc (AC41A) 0.160 0.160 91(e) 0.24 5.8 6 Al, 4 V Hi. temp. aero. service 4 AI, 1 Cu, 0.04 Mg 170 7 5.8 47.6 38 7 15.2 ...
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