2-6 A specimen of steel having an initial diameter of 0.503 in was tested in tension using a gauge length of 2 in. The following data were obtained for the elastic and plastic states: Elastic State Load P lbf 1 000 2 000 Elongation in 0.0004 0.0006 Plastic State Load P lbf 8 800 9 200 Area A; in² 0.1984 0.1978

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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I need help with a. & b. I don't understand what is meant by "one scale from zero to about 0.02 in/in" in part a

2-6
A specimen of steel having an initial diameter of 0.503 in was tested in tension using a gauge
length of 2 in. The following data were obtained for the elastic and plastic states:
Elastic State
Load P
lbf
1 000
2 000
3 000
4 000
7 000
8 400
8 800
9 200
Elongation
in
0.0004
0.0006
0.0010
0.0013
0.0023
0.0028
0.0036
0.0089
Plastic State
Load P
lbf
8 800
9 200
9 100
13 200
15 200
17 000
16 400
14 800
Area A;
in²
0.1984
0.1978
0.1963
0.1924
0.1875
0.1563
0.1307
0.1077
Note that there is some overlap in the data.
(a) Plot the engineering or nominal stress-strain diagram using two scales for the unit strain €,
one scale from zero to about 0.02 in/in and the other scale from zero to maximum strain.
(b) From this diagram find the modulus of elasticity, the 0.2 percent offset yield strength, the
ultimate strength, and the percent reduction in area.
(c) Characterize the material as ductile or brittle. Explain your reasoning.
(d) Identify a material specification from Table A-20 that has a reasonable match to the data.
Transcribed Image Text:2-6 A specimen of steel having an initial diameter of 0.503 in was tested in tension using a gauge length of 2 in. The following data were obtained for the elastic and plastic states: Elastic State Load P lbf 1 000 2 000 3 000 4 000 7 000 8 400 8 800 9 200 Elongation in 0.0004 0.0006 0.0010 0.0013 0.0023 0.0028 0.0036 0.0089 Plastic State Load P lbf 8 800 9 200 9 100 13 200 15 200 17 000 16 400 14 800 Area A; in² 0.1984 0.1978 0.1963 0.1924 0.1875 0.1563 0.1307 0.1077 Note that there is some overlap in the data. (a) Plot the engineering or nominal stress-strain diagram using two scales for the unit strain €, one scale from zero to about 0.02 in/in and the other scale from zero to maximum strain. (b) From this diagram find the modulus of elasticity, the 0.2 percent offset yield strength, the ultimate strength, and the percent reduction in area. (c) Characterize the material as ductile or brittle. Explain your reasoning. (d) Identify a material specification from Table A-20 that has a reasonable match to the data.
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