EM 319 - Mohr's Circle Example 2

EM 319 - Mohr's Circle Example 2 - An example of Mohrs...

Info icon This preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
Given a stress state as shown in the figure, construct its Mohr’s circle and finish the following: Construct the Mohr’s circle : Read coordinates for point A and B : ) 5000 , 30000 ( A and ) 5000 , 6000 ( B , plot them on stress plane. (Note: Don’t forget to alter the sign of shear stress for point B !) Connect AB . Intersection of AB and x -axis ( σ axis) is C, whose coordinate is ) 0 , 18000 ( C . Find radius : 13000 5000 ) 18000 30000 ( 2 2 2 2 = + = + = AE CE R . Find angle α : ( ) ( ) ° = = = = 62 . 22 12000 5000 tan tan 1 1 CE AE ACE α . Find the stresses acting on an element oriented at an angle ° = 60 θ and show these stresses on a sketch of an element oriented at the angle θ . Rotate ° 120 on the circle, find point A . The angle ° = ° ° = 38 . 37 120 180 2 α CP A . 28330 7670 38 . 37 cos 13000 18000 cos 1 1 2 1 = + = = ° = = x y x y x CP A R C σ σ σ σ σ . 7890 38 . 37 sin 1 1 = ° = R y x τ . Principal stresses
Image of page 1
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern