The engineering stress-engineering tensile curve for a stainless steel typ alloy is shown. Calculate the consta n for the true stress and true strain c before necking (o: = K (&)").

Elements Of Electromagnetics
7th Edition
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Author:Sadiku, Matthew N. O.
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19:48
... ... { N
ے
قبل 6 دقائق
حسن فلاح
جنة بوسط من
200
The engineering stress-engineering strain
tensile curve for a stainless steel type 304
alloy is shown. Calculate the constants K and
n for the true stress and true strain curve
before necking (G = K (&)").
Engineering Stress (MPa)
1000
900
800 -
700-
600-
500-
400-
300-
200-
100-
0+
0.0
0.2
ده
04
Enginering Strain (mm/mm)
0.8
10
OO REDMI NOTE 9S
AI QUAD CAMERA
|||
Transcribed Image Text:19:48 ... ... { N ے قبل 6 دقائق حسن فلاح جنة بوسط من 200 The engineering stress-engineering strain tensile curve for a stainless steel type 304 alloy is shown. Calculate the constants K and n for the true stress and true strain curve before necking (G = K (&)"). Engineering Stress (MPa) 1000 900 800 - 700- 600- 500- 400- 300- 200- 100- 0+ 0.0 0.2 ده 04 Enginering Strain (mm/mm) 0.8 10 OO REDMI NOTE 9S AI QUAD CAMERA |||
From the stress-strain diagram
Engineering
strain (e)
0.2
0.6
568
Ot
From the relation of the stress and strain
ot = K (et)"
.. (1)
From the table values
558 K (0.1823)"
908.8 = K (0.47)"
From the eq(2)/eq(3)
(0.1823)"
558
908.8
(0.47)"
=
Engineering stress(True stress(ot = o(1 + ε))
o) (MPa)
(MPa)
465
=
Ot=465(1+0.2) = 558
True strain (ln(1 + ε))
Et = ln(1 +0.2) = 0.1823
568 (1+0.6) 908.8&t= ln(1 +0.6) = 0.47
=
⇒n [ln (0.38787)] = ln 0.613996
⇒n=0.515
⇒ (0.38787)" = 0.613996
. (2)
(3)
From the eq(2)
558 = K (0.1823)0.515 ⇒ K = 1340.69
From the eq(1)
ot = 1340.69 (t) 0.515
=
Transcribed Image Text:From the stress-strain diagram Engineering strain (e) 0.2 0.6 568 Ot From the relation of the stress and strain ot = K (et)" .. (1) From the table values 558 K (0.1823)" 908.8 = K (0.47)" From the eq(2)/eq(3) (0.1823)" 558 908.8 (0.47)" = Engineering stress(True stress(ot = o(1 + ε)) o) (MPa) (MPa) 465 = Ot=465(1+0.2) = 558 True strain (ln(1 + ε)) Et = ln(1 +0.2) = 0.1823 568 (1+0.6) 908.8&t= ln(1 +0.6) = 0.47 = ⇒n [ln (0.38787)] = ln 0.613996 ⇒n=0.515 ⇒ (0.38787)" = 0.613996 . (2) (3) From the eq(2) 558 = K (0.1823)0.515 ⇒ K = 1340.69 From the eq(1) ot = 1340.69 (t) 0.515 =
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