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A certain structural steel rod 50cm long and 2.5cm in diameter is able to carry an axial tensile load without permanent deformation. In order to reduce the weight, the steel rod needs to be changed by a magnesium alloy rod able to carry the same load (assume the same deformation for both materials). The percentage weight change by using the magnesium alloy instead of structural steel would be most nearly: Mechanics of Materials Table 2 - Average Mechanical Properties of Typical Engineering Materials (U.S. Customary Units) (Use these values for the specific alloys and temper listed. For all other materials refer to Table 1 above.) Specific Modulus of Weight y Elasticity E (103 ksi) Modulus of Rigidity G Yield Strength (ksi) dy Comp Coef. of Therm. Expansion a (10-6)~0 Ultimate Strength (ksi) % Elongation in Poisson's Ratio v Materials (bin) (103 ksi) Tens Shear Tens. Comp Shear 2 in. specimen Metallic Wought Aloys 2014-T6 Cast ron Alloys 0.101 10.6 3.9 60 60 25 68 68 42 10 0.35 12.8 Aluminum 6061-T6 0.098 10.0 3.7 37 37 19 42 42 27 12 0.35 13.1 0 260 0 263 Gray ASTM 20 10.0 3.9 26 97 0.6 028 6.70 Malleable ASTMA-197 25.0 9.8 40 83 5 0 28 660 Copper Red Brass C83400 Alloys L Bronze C86100 0316 14.6 5.4 11.4 11.4 35 35 35 0.35 9.80 0.319 15.0 56 50 50 95 95 20 0.34 9.60 Magnesium Aloy (Am 1004-T611] 0.066 6.48 25 22 22 40 40 22 1 0.30 14.3 Structural A36 0284 29.0 11.0 36 36 58 58 30 0.32 6.60 Steel Alloys Stainless 304 0284 28.0 11.0 30 30 75 75 40 027 9.60 Tool L2 0295 29.0 11.0 102 102 116 116 22 0.32 6.50 Ttanium (TGA4V) Alloy Nonmetalic 0.160 17.4 6.4 134 134 145 145 16 0.36 520 Low Strength Concrete L High Strength 0.086 0.086 3.20 4.20 6.0 6.0 1.8 0.15 5.5 0.15 Kevlar 49 0.0524 19.0 104 70 10.2 2.8 0.34 Plastic Reinforced 30% Glass 0.0524 10.5 13 19 0.34 Wood Select Structural Grade Douglas Fir White Spruce 3.78d 5.18d 0.90d 0.97d 0.017 1.90 0.300 029 0.130 1.40 0.36 0.310

A certain structural steel rod 50cm long and 2.5cm in diameter is able to carry an axial tensile load without permanent deformation. In order to reduce the weight, the steel rod needs to be changed by a magnesium alloy rod able to carry the same load (assume the same deformation for both materials). The percentage weight change by using the magnesium alloy instead of structural steel would be most nearly: Mechanics of Materials Table 2 - Average Mechanical Properties of Typical Engineering Materials (U.S. Customary Units) (Use these values for the specific alloys and temper listed. For all other materials refer to Table 1 above.) Specific Modulus of Weight y Elasticity E (103 ksi) Modulus of Rigidity G Yield Strength (ksi) dy Comp Coef. of Therm. Expansion a (10-6)~0 Ultimate Strength (ksi) % Elongation in Poisson's Ratio v Materials (bin) (103 ksi) Tens Shear Tens. Comp Shear 2 in. specimen Metallic Wought Aloys 2014-T6 Cast ron Alloys 0.101 10.6 3.9 60 60 25 68 68 42 10 0.35 12.8 Aluminum 6061-T6 0.098 10.0 3.7 37 37 19 42 42 27 12 0.35 13.1 0 260 0 263 Gray ASTM 20 10.0 3.9 26 97 0.6 028 6.70 Malleable ASTMA-197 25.0 9.8 40 83 5 0 28 660 Copper Red Brass C83400 Alloys L Bronze C86100 0316 14.6 5.4 11.4 11.4 35 35 35 0.35 9.80 0.319 15.0 56 50 50 95 95 20 0.34 9.60 Magnesium Aloy (Am 1004-T611] 0.066 6.48 25 22 22 40 40 22 1 0.30 14.3 Structural A36 0284 29.0 11.0 36 36 58 58 30 0.32 6.60 Steel Alloys Stainless 304 0284 28.0 11.0 30 30 75 75 40 027 9.60 Tool L2 0295 29.0 11.0 102 102 116 116 22 0.32 6.50 Ttanium (TGA4V) Alloy Nonmetalic 0.160 17.4 6.4 134 134 145 145 16 0.36 520 Low Strength Concrete L High Strength 0.086 0.086 3.20 4.20 6.0 6.0 1.8 0.15 5.5 0.15 Kevlar 49 0.0524 19.0 104 70 10.2 2.8 0.34 Plastic Reinforced 30% Glass 0.0524 10.5 13 19 0.34 Wood Select Structural Grade Douglas Fir White Spruce 3.78d 5.18d 0.90d 0.97d 0.017 1.90 0.300 029 0.130 1.40 0.36 0.310

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A certain structural steel rod 50cm long and 2.5cm in diameter is able to carry an axial tensile load without permanent deformation. In order to reduce the weight, the steel rod needs to be changed by a magnesium alloy rod able to carry the same load (assume the same deformation for both materials). The percentage weight change by using the magnesium alloy instead of structural steel would be most nearly: Mechanics of Materials Table 2 - Average Mechanical Properties of Typical Engineering Materials (U.S. Customary Units) (Use these values for the specific alloys and temper listed. For all other materials refer to Table 1 above.) Modulus of Modulus of Weight y Elasticity E Rigidity G (103 ksi) Coef. of Therm Expansion a (10-6y^0 Specific Yield Strength (ksi) Ultimate Strength (ksi) Materials (bin³) (103 ksi) Tens dy Comp. % Elongation in 2 in. specimen Poisson's Ratio v Shear Tens. Comp. Shear Metalic Aluminum 2014-T6 0.101 10.6 3.9 60 60 25 68 68 42 10 0.35 12.8 Wrought Alloys L 6061-T6 0.098 10.0 3.7 37 37 19 42 42 27 12 0.35 13.1 Cast lronr Gray ASTM 20 Alloys 0.260 10.0 3.9 26 97 0.6 0.28 6.70 Malleable ASTMA-197 0.263 25.0 9.8 40 83 028 6.60 Red Brass C83400 0.316 14.6 5.4 11.4 11.4 35 35 35 0.35 9.80 Copper Alloys Bronze C86100 0.319 15.0 5.6 50 50 95 95 20 0.34 9.60 Magnesium 0.066 6.48 25 22 22 40 40 22 0.30 14.3 Aloy [Am 1004-T611) Structural A36 0.284 29.0 11.0 36 36 58 58 30 0.32 6.60 Steel Alloys Stainless 304 0.284 28.0 11.0 30 30 75 75 40 027 9.60 Tool L2 0.295 29.0 11.0 102 102 116 116 22 0.32 6.50 Titanium (T-6A4V Alloy 0.160 17.4 6.4 134 134 145 145 16 0.36 5.20 Nonmetalic Low Strength 0.086 0.086 3.20 1.8 0.15 6.0 Concrete High Strength 4. 20 5.5 0.15 6.0 Kevlar 49 30% Glass 0.0524 19.0 104 70 10.2 2.8 0.34 Plastic Reinforced 0.0524 10.5 13 19 0.34 Select Structural Douglas Fir Grade Wood 3.78d 5.18d 0.90d 0.97d 0.017 1.90 0.30 029 L White Spruce 0.130 1.40 0.36 0.310 a SPECIFIC VALUES MAY VARY FOR A PARTICULAR MATERIAL DUE TO ALLOY OR MINERAL COMPOSITION, MECHANICAL WORKING OF THE SPECIMEN, OR HEAT TREATMENT. FOR A MORE EXACT VALUE REFERENCE BOOKS FOR THE MATERIAL SHOULD BE CONSULTED. THE YIELD AND ULTIMATE STRENGTHS FOR DUCTILE MATERIALS CAN BE ASSUMED EQUAL FOR BOTH TENSION AND COMPRESSION. MEASURED PERPENDICULAR TO THE GRAIN. d MEASURED PARALLEL TO THE GRAIN. • DEFORMATION MEASURED PERPENDICULAR TO THE GRAIN WHEN THE LOAD IS APPLIED ALONG THE GRAIN. Hibbeler, R.C., Mechanics of Materials, 4 ed., 2000. Reprinted by permission of Pearson Education, Inc., New York, New York.
Transcribed Image Text:A certain structural steel rod 50cm long and 2.5cm in diameter is able to carry an axial tensile load without permanent deformation. In order to reduce the weight, the steel rod needs to be changed by a magnesium alloy rod able to carry the same load (assume the same deformation for both materials). The percentage weight change by using the magnesium alloy instead of structural steel would be most nearly: Mechanics of Materials Table 2 - Average Mechanical Properties of Typical Engineering Materials (U.S. Customary Units) (Use these values for the specific alloys and temper listed. For all other materials refer to Table 1 above.) Modulus of Modulus of Weight y Elasticity E Rigidity G (103 ksi) Coef. of Therm Expansion a (10-6y^0 Specific Yield Strength (ksi) Ultimate Strength (ksi) Materials (bin³) (103 ksi) Tens dy Comp. % Elongation in 2 in. specimen Poisson's Ratio v Shear Tens. Comp. Shear Metalic Aluminum 2014-T6 0.101 10.6 3.9 60 60 25 68 68 42 10 0.35 12.8 Wrought Alloys L 6061-T6 0.098 10.0 3.7 37 37 19 42 42 27 12 0.35 13.1 Cast lronr Gray ASTM 20 Alloys 0.260 10.0 3.9 26 97 0.6 0.28 6.70 Malleable ASTMA-197 0.263 25.0 9.8 40 83 028 6.60 Red Brass C83400 0.316 14.6 5.4 11.4 11.4 35 35 35 0.35 9.80 Copper Alloys Bronze C86100 0.319 15.0 5.6 50 50 95 95 20 0.34 9.60 Magnesium 0.066 6.48 25 22 22 40 40 22 0.30 14.3 Aloy [Am 1004-T611) Structural A36 0.284 29.0 11.0 36 36 58 58 30 0.32 6.60 Steel Alloys Stainless 304 0.284 28.0 11.0 30 30 75 75 40 027 9.60 Tool L2 0.295 29.0 11.0 102 102 116 116 22 0.32 6.50 Titanium (T-6A4V Alloy 0.160 17.4 6.4 134 134 145 145 16 0.36 5.20 Nonmetalic Low Strength 0.086 0.086 3.20 1.8 0.15 6.0 Concrete High Strength 4. 20 5.5 0.15 6.0 Kevlar 49 30% Glass 0.0524 19.0 104 70 10.2 2.8 0.34 Plastic Reinforced 0.0524 10.5 13 19 0.34 Select Structural Douglas Fir Grade Wood 3.78d 5.18d 0.90d 0.97d 0.017 1.90 0.30 029 L White Spruce 0.130 1.40 0.36 0.310 a SPECIFIC VALUES MAY VARY FOR A PARTICULAR MATERIAL DUE TO ALLOY OR MINERAL COMPOSITION, MECHANICAL WORKING OF THE SPECIMEN, OR HEAT TREATMENT. FOR A MORE EXACT VALUE REFERENCE BOOKS FOR THE MATERIAL SHOULD BE CONSULTED. THE YIELD AND ULTIMATE STRENGTHS FOR DUCTILE MATERIALS CAN BE ASSUMED EQUAL FOR BOTH TENSION AND COMPRESSION. MEASURED PERPENDICULAR TO THE GRAIN. d MEASURED PARALLEL TO THE GRAIN. • DEFORMATION MEASURED PERPENDICULAR TO THE GRAIN WHEN THE LOAD IS APPLIED ALONG THE GRAIN. Hibbeler, R.C., Mechanics of Materials, 4 ed., 2000. Reprinted by permission of Pearson Education, Inc., New York, New York.
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