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11.A 10 mile section of continuously welded train rail was laid in such that it was in zero strain state at 120°C. It is anchored on both ends. (A) On the coldest winter day, estimate (i.e., calculate) what is the length of the train track? Show your work and explain your reasoning. (B) What type of mechanical deformation does this rail experience from a hot day to a cold day? Explain your choice. (C)What is the microscopic mechanism that explains this difference (i.e., what is happening to the microstructure of the material?

11.A 10 mile section of continuously welded train rail was laid in such that it was in zero strain state at 120°C. It is anchored on both ends. (A) On the coldest winter day, estimate (i.e., calculate) what is the length of the train track? Show your work and explain your reasoning. (B) What type of mechanical deformation does this rail experience from a hot day to a cold day? Explain your choice. (C)What is the microscopic mechanism that explains this difference (i.e., what is happening to the microstructure of the material?

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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Some Young’s moduli (GPa) Aluminum 69 Brass 100 Steel 200 Gold 74 Rubber 0.01 Some linear coefficients of thermal expansion (in 10- 6m/m°C) Aluminum Brass Steel Gold Rubber 21-21 18-19 10-12.5 14 80
11.A 10 mile section of continuously welded train rail was laid in such that it was in zero strain state at 120°C. It is anchored on both ends. (A) On the coldest winter day, estimate (i.e., calculate) what is the length of the train track? Show your work and explain your reasoning. (B) What type of mechanical deformation does this rail experience from a hot day to a cold day? Explain your choice. (C)What is the microscopic mechanism that explains this difference (i.e., what is happening to the microstructure of the material?
Transcribed Image Text:11.A 10 mile section of continuously welded train rail was laid in such that it was in zero strain state at 120°C. It is anchored on both ends. (A) On the coldest winter day, estimate (i.e., calculate) what is the length of the train track? Show your work and explain your reasoning. (B) What type of mechanical deformation does this rail experience from a hot day to a cold day? Explain your choice. (C)What is the microscopic mechanism that explains this difference (i.e., what is happening to the microstructure of the material?
Va D = D,exp(-) APF = O = E = [ F dr E = E, + ER 2P Mw PDI = MN HB - DD- VD? - IC = 100(1 – e-025(xa-X@)^2) M, = E x,M, dC J= -D dx 4R3 3 M, DP = N. = exp .T = exp m LD = "atoms L. Mw =Ew, M. PD=Fatoms A TRSS = acosecosA o = Ee a, = 0, + k,d7 V, =r A,-Aa %CW = • 100 A. Acircle ar? uz uz + v, v2 + w,w2 (u} + vỷ + w¿)/už + vž + wž -Eper = cos- Epar dF F dR. Ag D = D,exp(-) F O = A -2y r* = AG, TS (MPa) = 3.45. HB TS(psi) = 500 . HB 16ry3 AG += 3(AG,*) ΔΙ -2yTm AH, r* = E = In %EL = x100 m AL CAT CN = Ta Pe(Ps-PA) x 100 %crystallinity= Ps(Pc-P) V = 1 + R C- Ca =1- erf DE C, - Co RA p=T Some Young's moduli (GPa) Aluminum 69 Brass Steel Gold 100 200 74 Rubber 0.01 Some linear coefficients of thermal expansion (in 10- ®m/m°C) Aluminum Brass Steel Gold Rubber 21-21 18-19 10-12.5 14 80
Transcribed Image Text:Va D = D,exp(-) APF = O = E = [ F dr E = E, + ER 2P Mw PDI = MN HB - DD- VD? - IC = 100(1 – e-025(xa-X@)^2) M, = E x,M, dC J= -D dx 4R3 3 M, DP = N. = exp .T = exp m LD = "atoms L. Mw =Ew, M. PD=Fatoms A TRSS = acosecosA o = Ee a, = 0, + k,d7 V, =r A,-Aa %CW = • 100 A. Acircle ar? uz uz + v, v2 + w,w2 (u} + vỷ + w¿)/už + vž + wž -Eper = cos- Epar dF F dR. Ag D = D,exp(-) F O = A -2y r* = AG, TS (MPa) = 3.45. HB TS(psi) = 500 . HB 16ry3 AG += 3(AG,*) ΔΙ -2yTm AH, r* = E = In %EL = x100 m AL CAT CN = Ta Pe(Ps-PA) x 100 %crystallinity= Ps(Pc-P) V = 1 + R C- Ca =1- erf DE C, - Co RA p=T Some Young's moduli (GPa) Aluminum 69 Brass Steel Gold 100 200 74 Rubber 0.01 Some linear coefficients of thermal expansion (in 10- ®m/m°C) Aluminum Brass Steel Gold Rubber 21-21 18-19 10-12.5 14 80
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