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A 50' length of steel rail is laid on a day when the temperature is 30 "F. In order to prevent rail from developing any internal stresses due to a thermal increase of 50 "F, what is the ame of deformation that needs to be accommodated with respect to the slotted connection at th rail end(s)?

A 50' length of steel rail is laid on a day when the temperature is 30 "F. In order to prevent rail from developing any internal stresses due to a thermal increase of 50 "F, what is the ame of deformation that needs to be accommodated with respect to the slotted connection at th rail end(s)?

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
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A 50' length of steel rail is laid on a day when the temperature is 30 °F. In order to prevent the rail from developing any internal stresses due to a thermal increase of 50 °F, what is the amount of deformation that needs to be accommodated with respect to the slotted connection at the rail end(s)? Steel rail L=60' Slotted hole Coeff. of Mod. of Mod. of Tensile Yield Thermal Ultimate Strength Expansion a in/in./F" x 10 Elasticity Rigidity G Strength Poisson's ksi Density pcf Ratio Material ksi ksi ksi Tens. Comp. Shear Steel ASTM A36 or 490 30,000 12,000 36 58 6.5 0.25 A501 Steel (high-strength low-alky) ASTM A992 490 30,000 12,000 50 65 6.5 0.25 Steel AISI 1020 490 30,000 11,500 30 55 6.5 0.25 hot-rolled Steel AISI 1040 490 30,000 11.500 42 76 6.5 0.25 hot-rolled Stainless steel (annealed) 490 29,000 11,600 40 85 60 6.5 0.25 Cast iron (gray) 490 15,000 6000 20 80 32 5.9 0.26 Aluminum allay 6061.16 165 10,000 4000 35 38 27 13.1 0.3 51-T6 Thanium alloy 275 16,500 6500 130 140 100 5.4 Magresium alloy 112 6500 2400 40 20 14.5 0.34 Brass (rolled) 535 14,000 6000 50 60 50 10.4 0.34 Bronze (cast) 535 12,000 5000 25 33 56 10.1 0.35 Copper 550 15.000 6000 55 38 9.3 0.35 (hard drawn) Concrete 150 3120 3.0 5.5 0.20 Concrete 150 3605 4.0 5.5 0.20
Transcribed Image Text:A 50' length of steel rail is laid on a day when the temperature is 30 °F. In order to prevent the rail from developing any internal stresses due to a thermal increase of 50 °F, what is the amount of deformation that needs to be accommodated with respect to the slotted connection at the rail end(s)? Steel rail L=60' Slotted hole Coeff. of Mod. of Mod. of Tensile Yield Thermal Ultimate Strength Expansion a in/in./F" x 10 Elasticity Rigidity G Strength Poisson's ksi Density pcf Ratio Material ksi ksi ksi Tens. Comp. Shear Steel ASTM A36 or 490 30,000 12,000 36 58 6.5 0.25 A501 Steel (high-strength low-alky) ASTM A992 490 30,000 12,000 50 65 6.5 0.25 Steel AISI 1020 490 30,000 11,500 30 55 6.5 0.25 hot-rolled Steel AISI 1040 490 30,000 11.500 42 76 6.5 0.25 hot-rolled Stainless steel (annealed) 490 29,000 11,600 40 85 60 6.5 0.25 Cast iron (gray) 490 15,000 6000 20 80 32 5.9 0.26 Aluminum allay 6061.16 165 10,000 4000 35 38 27 13.1 0.3 51-T6 Thanium alloy 275 16,500 6500 130 140 100 5.4 Magresium alloy 112 6500 2400 40 20 14.5 0.34 Brass (rolled) 535 14,000 6000 50 60 50 10.4 0.34 Bronze (cast) 535 12,000 5000 25 33 56 10.1 0.35 Copper 550 15.000 6000 55 38 9.3 0.35 (hard drawn) Concrete 150 3120 3.0 5.5 0.20 Concrete 150 3605 4.0 5.5 0.20
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