For each of the plane-stress conditions given below, construct a Mohrs circle of stress, find the principal
Question:
For each of the plane-stress conditions given below, construct a Mohr’s circle of stress, find the principal stresses and the orientation of the principal axes relative to the x,y axes and determine the stresses on an element, rotated in the x-y plane 60° counterclockwise from its original position:
(a) σx = 200 MPa
σy = 300 MPa
τxy = - 40 MPa
(b) σx = 500 MPa
σy = -80 MPa
τxy = 400 MPa
2.
For each of the plane-stress conditions given in Question 1, using the matrix transformation law, determine the state of stress at the same point for an element rotated in the x-y plane 60° counterclockwise from its original position.
Vector Mechanics for Engineers Statics and Dynamics
ISBN: 978-0073212227
8th Edition
Authors: Ferdinand Beer, E. Russell Johnston, Jr., Elliot Eisenberg, William Clausen, David Mazurek, Phillip Cornwell