240 0 - 30 MPa

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 7.2.19P: At a point on the surface of an elliptical exercise machine, the material is in biaxial stress with...
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At point O of a part subjected to plane stress made of steel material (E = 210 GPa and
%3D
ww
v= 0.3) The tensile components are given below.
240
%3D
- 30
MPa
*yz
yz
a) The principal stress components (01, 02 and o3) and their angles with respect to
the x-y-z axes of the planes where they are formed
calculate
b) Calculate the maximum shear stress (tmax) and the angles of the plane in which it
is formed with respect to the x-y-z axes.
c) Drawthe 2-D and 3-D Mohr circles for the stress components.
d) At point O in a section plane passing through point O and having an angle of 30°
counterclockwise with the +x-axis Calculate the resulting stress components.
e) Calculate the strain components (Exx, EW, Ezz, YXV, YXz and Yyz) and draw the 2-D
and 3-D Mohr circles for the strain components.
Transcribed Image Text:At point O of a part subjected to plane stress made of steel material (E = 210 GPa and %3D ww v= 0.3) The tensile components are given below. 240 %3D - 30 MPa *yz yz a) The principal stress components (01, 02 and o3) and their angles with respect to the x-y-z axes of the planes where they are formed calculate b) Calculate the maximum shear stress (tmax) and the angles of the plane in which it is formed with respect to the x-y-z axes. c) Drawthe 2-D and 3-D Mohr circles for the stress components. d) At point O in a section plane passing through point O and having an angle of 30° counterclockwise with the +x-axis Calculate the resulting stress components. e) Calculate the strain components (Exx, EW, Ezz, YXV, YXz and Yyz) and draw the 2-D and 3-D Mohr circles for the strain components.
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