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.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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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
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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