= 6000 MPa, and Txy An element in plane stress is subjected to stresses, o, = 16000 MPa, o, Tyx = 4000 MPa (as shown in figure below). Using the Mohr's circle, determine the following: A) The stress components with respect to ab axes which are inclined at 0 = 45° to the xy аxes. B) Locate the principal axes and evaluate principal stresses. C) Locate the axes of Maximum shear stress and evaluate the corresponding stress components. yt b - 9000 MPa a 5000 MPa 30° 12000 MPa Fig. Ql: An element in plane stress If the values of txy = Tyx = 0 and the element is subjected only to stresses, ox = 16000 MPa, Oy = -6000 MPa D) What are the differences of the results of A, B, and C above ? E) Discuss the differences.

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter7: Analysis Of Stress And Strain
Section: Chapter Questions
Problem 7.4.6P: An element in biaxial stress is subjected to stresses a = -29 MPa and sy = 57 MPa. as shown in the...
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Question 2:
An element in plane stress is subjected to stresses, ox = 16000 MPa, o, = 6000 MPa, and Txy =
Tyx = 4000 MPa (as shown in figure below). Using the Mohr's circle, determine the following:
A) The stress components with respect to ab axes which are inclined at 0 = 45° to the xy
аxes.
B) Locate the principal axes and evaluate principal stresses.
C) Locate the axes of Maximum shear stress and evaluate the corresponding stress
components.
yt
-9000 MPa
a
5000 MPa
30°
12000 MPa
Fig. Q1: An element in plane stress
If the values of txy =
Tyx
= 0 and the element is subjected only to stresses, ox = 16000 MPa,
Oy = -6000 MPa
D) What are the differences of the results of A, B, and C above ?
E) Discuss the differences.
Transcribed Image Text:Question 2: An element in plane stress is subjected to stresses, ox = 16000 MPa, o, = 6000 MPa, and Txy = Tyx = 4000 MPa (as shown in figure below). Using the Mohr's circle, determine the following: A) The stress components with respect to ab axes which are inclined at 0 = 45° to the xy аxes. B) Locate the principal axes and evaluate principal stresses. C) Locate the axes of Maximum shear stress and evaluate the corresponding stress components. yt -9000 MPa a 5000 MPa 30° 12000 MPa Fig. Q1: An element in plane stress If the values of txy = Tyx = 0 and the element is subjected only to stresses, ox = 16000 MPa, Oy = -6000 MPa D) What are the differences of the results of A, B, and C above ? E) Discuss the differences.
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