Q1 [Total 4 marks] For the plane-stress condition given below: Ox-400 MPa Oy = 500 MPa Txy -30 MPa Construct a Mohr's circle of stress, find: (a) the principal stresses and the orientation of the principal axes relative to the x,y axes [1 mark]; (b) determine the stresses on an element, rotated in the x-y plane 60° counter- clockwise from its original position [1 mark]; Show these stresses on a sketch of an element oriented at this angle [1 mark]; (c) Also, using the matrix transformation law to compare the solutions with Mohr's circle [1 mark].

Q1 [Total 4 marks] For the plane-stress condition given below: Ox-400 MPa Oy = 500 MPa Txy -30 MPa Construct a Mohr's circle of stress, find: (a) the principal stresses and the orientation of the principal axes relative to the x,y axes [1 mark]; (b) determine the stresses on an element, rotated in the x-y plane 60° counter- clockwise from its original position [1 mark]; Show these stresses on a sketch of an element oriented at this angle [1 mark]; (c) Also, using the matrix transformation law to compare the solutions with Mohr's circle [1 mark].

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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