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
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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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
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.
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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