An element of a solid is subjected to tensile stress of magnitude 40 MPa along the x-axis and compressive stress of 50 MPa along the y-axis. There are no forces whatsoever along the z-axis so a 2-D representation of the load will be sufficient. The shear stresses txy and tyx have a magnitude of 40 MPa. txy has a clockwise moment about the axis passing at the center of the element.

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 7.2.8P: An element in plane stress on the fuselage of an airplane (figure part a) is subjected to...
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An element of a solid is subjected to tensile stress of magnitude 40 MPa along the
x-axis and compressive stress 50 MPa along the y-axis. There are no forces
whatsoever along the z-axis so a 2-D representation of the load will be sufficient.
The shear stresses txy and tyx have a magnitude of 40 MPa. Txy has a clockwise
moment about the axis passing at the center of the element.
a) Draw the square element with the correct sense of the stresses applied.
b) Draw accurately to scale the Mohr's circle for this loading. Use the convention
followed in class.
c) What are the principal stresses?
d) What is the magnitude of the maximum shear stress produced by the load?
e) What is the magnitude and sign of the stresses at 10 o'clock position?
Transcribed Image Text:An element of a solid is subjected to tensile stress of magnitude 40 MPa along the x-axis and compressive stress 50 MPa along the y-axis. There are no forces whatsoever along the z-axis so a 2-D representation of the load will be sufficient. The shear stresses txy and tyx have a magnitude of 40 MPa. Txy has a clockwise moment about the axis passing at the center of the element. a) Draw the square element with the correct sense of the stresses applied. b) Draw accurately to scale the Mohr's circle for this loading. Use the convention followed in class. c) What are the principal stresses? d) What is the magnitude of the maximum shear stress produced by the load? e) What is the magnitude and sign of the stresses at 10 o'clock position?
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