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12. You have a balloon that is tethered to a string which is anchored to the floor with a weight. Assume that the load on the string is L and that the 2 m string extends by 1 cm under the load. (A) What is the mechanical deformation that the string is experiencing? Draw a diagram with relevant quantities marked to describe the mechanical deformation. (B) What is the strain that the string experiences? (C)You take the string to the lab and do a tensile test. Sketch a stress-strain curve that you expect to see if the string behaves like a linear elastic material until load 2L, and then undergoes a plastic deformation.

12. You have a balloon that is tethered to a string which is anchored to the floor with a weight. Assume that the load on the string is L and that the 2 m string extends by 1 cm under the load. (A) What is the mechanical deformation that the string is experiencing? Draw a diagram with relevant quantities marked to describe the mechanical deformation. (B) What is the strain that the string experiences? (C)You take the string to the lab and do a tensile test. Sketch a stress-strain curve that you expect to see if the string behaves like a linear elastic material until load 2L, and then undergoes a plastic deformation.

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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Attached formula sheet 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
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
12. You have a balloon that is tethered to a string which is anchored to the floor with a weight. Assume that the load on the string is L and that the 2 m string extends by 1 cm under the load. (A) What is the mechanical deformation that the string is experiencing? Draw a diagram with relevant quantities marked to describe the mechanical deformation. (B) What is the strain that the string experiences? (C)You take the string to the lab and do a tensile test. Sketch a stress-strain curve that you expect to see if the string behaves like a linear elastic material until load 2L, and then undergoes a plastic deformation.
Transcribed Image Text:12. You have a balloon that is tethered to a string which is anchored to the floor with a weight. Assume that the load on the string is L and that the 2 m string extends by 1 cm under the load. (A) What is the mechanical deformation that the string is experiencing? Draw a diagram with relevant quantities marked to describe the mechanical deformation. (B) What is the strain that the string experiences? (C)You take the string to the lab and do a tensile test. Sketch a stress-strain curve that you expect to see if the string behaves like a linear elastic material until load 2L, and then undergoes a plastic deformation.
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