500 MPa b 0.006 € 120 kN b) Determine the rod's new length under this load c) Determine the rod's new diameter under this load 100 mm 20 mm 120 kN A rod 100 mm long with a diameter of 20 mm is subject to 120 kN of tension as shown, alongside with the stress-strain curve of its material. Assume a Poisson's ratio of 0.35. a) For the given load condition, is the rod behaving elastically or plastically? Explain your reasoning

Materials Science And Engineering Properties
1st Edition
ISBN:9781111988609
Author:Charles Gilmore
Publisher:Charles Gilmore
Chapter9: Time, Temperature, And Mechanical Properties
Section: Chapter Questions
Problem 9.3P
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500 MPa
b
0.006
120 KN
100 mm
b) Determine the rod's new length under this load
c) Determine the rod's new diameter under this load
20 mm
120 kN
A rod 100 mm long with a diameter of 20 mm is subject to 120 kN of tension as shown, alongside
with the stress-strain curve of its material. Assume a Poisson's ratio of 0.35.
a) For the given load condition, is the rod behaving elastically or plastically? Explain your
reasoning
The tensile load is now removed, and the ends are now subject to a shear force of 10 KN in the
same plane as the cross-section (i.e., the force is acting "horizontally"). Assume elastic behavior.
d) Determine the shear strain resulting from this shear force (ignoring any bending effects)
e) What is the horizontal displacement of one end of the rod relative to the other end under this
shear force?
Transcribed Image Text:500 MPa b 0.006 120 KN 100 mm b) Determine the rod's new length under this load c) Determine the rod's new diameter under this load 20 mm 120 kN A rod 100 mm long with a diameter of 20 mm is subject to 120 kN of tension as shown, alongside with the stress-strain curve of its material. Assume a Poisson's ratio of 0.35. a) For the given load condition, is the rod behaving elastically or plastically? Explain your reasoning The tensile load is now removed, and the ends are now subject to a shear force of 10 KN in the same plane as the cross-section (i.e., the force is acting "horizontally"). Assume elastic behavior. d) Determine the shear strain resulting from this shear force (ignoring any bending effects) e) What is the horizontal displacement of one end of the rod relative to the other end under this shear force?
Expert Solution
Step 1

Given,

Length (L) = 100 mm 

Diameter (D) = 20 mm 

Load (P) = 120 kN or 120000 N

Poisson ratio (μ) = 0.35 

 

NOTE : As per guidelines, first 3 parts are solved. Request you to post remaining parts separately. Thanks 

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Follow-up Question
500 MPa
0.006
120 kN
100 mm
- 20 mm
120 kN
The tensile load is now removed, and the ends are now subject to a shear force of 10 KN in the
same plane as the cross-section (i.e., the force is acting "horizontally"). Assume elastic behavior.
d) Determine the shear strain resulting from this shear force (ignoring any bending effects)
e) What is the horizontal displacement of one end of the rod relative to the other end under this
shear force?
Transcribed Image Text:500 MPa 0.006 120 kN 100 mm - 20 mm 120 kN The tensile load is now removed, and the ends are now subject to a shear force of 10 KN in the same plane as the cross-section (i.e., the force is acting "horizontally"). Assume elastic behavior. d) Determine the shear strain resulting from this shear force (ignoring any bending effects) e) What is the horizontal displacement of one end of the rod relative to the other end under this shear force?
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