2xy tan20p 2 Principal stress: 01,2 = ) + Txy² (Ox-Gy)/2 -(0x-0y)/2 Ox+0y + Txy 2 tan20, σανg 2 maximum in-plane shear stress: Tmax = Txy The state of plane stress at a point is represented on the element shown in the figure below. (a) Determine the principal stresses acting on this point, and the corresponding orientation (angle). (b) Determine the maximum in-plane shear stress, and the corresponding orientation (angle). Also determine the associated average normal stress. Show your work.
2xy tan20p 2 Principal stress: 01,2 = ) + Txy² (Ox-Gy)/2 -(0x-0y)/2 Ox+0y + Txy 2 tan20, σανg 2 maximum in-plane shear stress: Tmax = Txy The state of plane stress at a point is represented on the element shown in the figure below. (a) Determine the principal stresses acting on this point, and the corresponding orientation (angle). (b) Determine the maximum in-plane shear stress, and the corresponding orientation (angle). Also determine the associated average normal stress. Show your work.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Concept explainers
Question
![Principal stress: 01,2
Ox+0y
tan20, =
Txy
2
(Ox-0y)/2
2
maximum in-plane shear stress: Tmax
*) :
+ Txy? tan20s
-(0x-0y)/2
Ox+0y
σανg
Txy
2
The state of plane stress at a point is represented on the element shown in the figure below. (a) Determine the
principal stresses acting on this point, and the corresponding orientation (angle). (b) Determine the maximum in-plane
shear stress, and the corresponding orientation (angle). Also determine the associated average normal stress. Show your
work.
57 MPa
28 MPa
42 MPa](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F79719656-2bff-4c1f-ab51-bfa8836660dd%2Fbb71eda2-5345-4a8d-86a4-b25e3a5a0bed%2Fobn6e5p_processed.png&w=3840&q=75)
Transcribed Image Text:Principal stress: 01,2
Ox+0y
tan20, =
Txy
2
(Ox-0y)/2
2
maximum in-plane shear stress: Tmax
*) :
+ Txy? tan20s
-(0x-0y)/2
Ox+0y
σανg
Txy
2
The state of plane stress at a point is represented on the element shown in the figure below. (a) Determine the
principal stresses acting on this point, and the corresponding orientation (angle). (b) Determine the maximum in-plane
shear stress, and the corresponding orientation (angle). Also determine the associated average normal stress. Show your
work.
57 MPa
28 MPa
42 MPa
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