A tensile test specimen having a diameter of 10 mm and a gage length of 50 mm was tested to fracture. The stress-strain curve from the tension test is shown below. The lower plot is the expanded region OAB and associated with the strain values given in the lower scale. Showing your points and construction on graphs and the associated calculations, determine the following quantities (a)Proportional limit: ___________________________ (b)Rupture stress: ___________________________ (c)Secant modulus at stress level of 420 MPa: _____________ (d)Tangent modulus at stress level of 420 MPa: _____________ (e)Determine the plastic strain at stress level of 420 MPa:  _____________________________ (f)If the shear modulus of the material is 55GPa, determine the Poisson’s ratio assuming the material is isotropic. _____________________________ (g)Determine the axial force acting on the specimen when it is extended by 0.2 mm

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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A tensile test specimen having a diameter of 10 mm and a gage length of 50 mm was tested to fracture. The
stress-strain curve from the tension test is shown below. The lower plot is the expanded region OAB and
associated with the strain values given in the lower scale.
Showing your points and construction on graphs and the associated calculations, determine the following
quantities
(a)Proportional limit: ___________________________
(b)Rupture stress: ___________________________
(c)Secant modulus at stress level of 420 MPa: _____________

(d)Tangent modulus at stress level of 420 MPa: _____________
(e)Determine the plastic strain at stress level of 420 MPa:
 _____________________________
(f)If the shear modulus of the material is 55GPa, determine the
Poisson’s ratio assuming the material is isotropic.
_____________________________
(g)Determine the axial force acting on the specimen when it is
extended by 0.2 mm 

Stress MPa
480
360
240
120
AB MA
0.04
0.002
0.00
0.00
Upper Scale
Lower Scale
0.08 0.12
0.004
0.006
Strain mm/mm
0.16
0.008
B
0.20
0.010
Transcribed Image Text:Stress MPa 480 360 240 120 AB MA 0.04 0.002 0.00 0.00 Upper Scale Lower Scale 0.08 0.12 0.004 0.006 Strain mm/mm 0.16 0.008 B 0.20 0.010
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(b)Rupture stress: ___________________________
(c)Secant modulus at stress level of 420 MPa: _____________

(d)Tangent modulus at stress level of 420 MPa: _____________
(e)Determine the plastic strain at stress level of 420 MPa:
 _____________________________
(f)If the shear modulus of the material is 55GPa, determine the
Poisson’s ratio assuming the material is isotropic.
_____________________________
(g)Determine the axial force acting on the specimen when it is
extended by 0.2 mm 

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