The following uniaxial tensile testing data were collected from a ductile cast iron test specimen of initial diameter Do= 20.0 mm and initial length lo=40.0 mm. After fracture the total specimen length was lf= 47.42 mm and the specimen diameter was Df = 18.35 mm. engineering stress-strain plot, including the expanded inset figure and the numerical values shown in Table 1, all shown on the next page, determine the following: 1) the modulus of elasticity E 2) the 0.2% offset yield strength 3) the tensile strength 4) the maximum load that can be sustained by the specimen 5) the specimen length when plastic deformation started to occur Using the data given in the Stress Strain Curve Table 1. Strain Stress [MPa] 450 400 0.000463 79.57 350 350 0.000925 159.16 300 0.001388 238.74 300 250 0.005 286.49 250 200 0.015 334.23 150 0.039 381.98 200 100 0.1 416.99 150 0.188 397.89 50 100 0.002 0.004 0.006 0.008 0.01 50 Strain s 0.05 0.1 0.15 0.2 Strain ɛ Stress o [MPa] Stress o [MPa]

The following uniaxial tensile testing data were collected from a ductile cast iron test specimen of initial diameter Do= 20.0 mm and initial length lo=40.0 mm. After fracture the total specimen length was lf= 47.42 mm and the specimen diameter was Df = 18.35 mm. engineering stress-strain plot, including the expanded inset figure and the numerical values shown in Table 1, all shown on the next page, determine the following: 1) the modulus of elasticity E 2) the 0.2% offset yield strength 3) the tensile strength 4) the maximum load that can be sustained by the specimen 5) the specimen length when plastic deformation started to occur Using the data given in the Stress Strain Curve Table 1. Strain Stress [MPa] 450 400 0.000463 79.57 350 350 0.000925 159.16 300 0.001388 238.74 300 250 0.005 286.49 250 200 0.015 334.23 150 0.039 381.98 200 100 0.1 416.99 150 0.188 397.89 50 100 0.002 0.004 0.006 0.008 0.01 50 Strain s 0.05 0.1 0.15 0.2 Strain ɛ Stress o [MPa] Stress o [MPa]

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Crack Detection

Concrete materials are meant for supporting structures, building foundations and they act as several load-bearing structures. Over time, due to environmental conditions, and based on the constituent materials used, concrete materials are subjected to a great degree of distress. Corrosion of the reinforcement bars due to chemical influences, uneven base, earthquake, drying shrinkages, and alkali-aggregate reactions are some of the reasons for concrete distress.

Question

The following uniaxial tensile testing data were collected from a ductile cast
iron test specimen of initial diameter Do= 20.0 mm and initial length lo=40.0
mm. After fracture the total specimen length was lf= 47.42 mm and the
specimen diameter was Df = 18.35 mm.
engineering stress-strain plot, including the expanded inset figure and the
numerical values shown in Table 1, all shown on the next page, determine the
following:
1) the modulus of elasticity E
2) the 0.2% offset yield strength
3) the tensile strength
Using the data given in the
4) the maximum load that can be sustained by the specimen
5) the specimen length when plastic deformation started to occur
Stress Strain Curve
Table 1.
Strain
Stress [MPa]
450
400
0.000463
79.57
0.000925
159.16
350
350
300
0.001388
238.74
300
250
0.005
286.49
250
200
0.015
334.23
150
0.039
381.98
200
0.1
416.99
100
150
0.188
397.89
50
100
0.002 0.004 0.006 0.008 0.01
Strain s
50
0.05
0.1
0.15
0.2
Strain ɛ
Stress o
[MPa]
Stress o [MPa]

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