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CALCULATIONS
Below calculations are made by using the stressstrain diagram.
By the stressstrain curve, yield stress and yield strain values can be obtained
using the 0.2 %
offset method:
Yield Stress:
σ
y
= 381 Mpa
Yielding Strain:
ε
y
= 0.054
To find the modulus of elasticity of the steel the slop of the straight line before the yield point
is found:
E
= 295 / 0.034 ~= 8676 MPa
E = 8.68 GPa
We can find the fracture stress, fracture strain and UTS strain values from the diagram:
Fracture Stress:
σ
f
= 361 Mpa
Yielding Strain:
ε
f
= 0.28
Strain at onset of neck (UTS strain):
ε
UTS
= 0.17
Lets’s find the ductility in terms of percent elongation or reduction in area:
% EL = (l
f
– l
0
) / l
0
x 100
=>
∆
l / l
0
x 100 = 20.9 / 72.5 x 100 = 28 %
% RA = (A
0
– A
f
) / A
0
x 100
∆
A / A
0
x 100 = (d
0
2
 d
f
2
)/ d
0
2
= ( 15.2
2
 8.8
2
) /15.2
2
x 100 = 66 %
To find the resilience, we calculate the shaded area below the straight line before yielding
occurs which we called A:
There are 3162 squares in the area A (We will use it in finding toughness)
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This note was uploaded on 12/27/2011 for the course MATH 265 taught by Professor Asas during the Spring '11 term at Middle East Technical University.
 Spring '11
 asas

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