# Question: The principal stresses

Consider a three-dimensional state of stress characterized by:

σxx = 3,000 σyy = 2,000 τxy = 0.

σzz = 4,000 τzx = 0. τyz = 2,500

where units are psi and compression is positive. Find: the magnitude and direction of the principal stresses and illustrate with a sketch

σxx = 3,000 σyy = 2,000 τxy = 0.

σzz = 4,000 τzx = 0. τyz = 2,500

where units are psi and compression is positive. Find: the magnitude and direction of the principal stresses and illustrate with a sketch

**View Solution:**## Answer to relevant Questions

Given the stress state in Problem 1.21, find the state of stress relative to axes abc(σaa, . . . , τca) rotated 30◦ counterclockwise about the z-axisConsider an NX-size drill core (2-1/8 in., 5.40 cm diameter) with an L/D ratio (length to diameter) of two under an axial load of 35,466 pounds (158.89 kN). Find: 1 The state of stress within the core sample relative to a ...Consider a cylindrical test specimen under a confining pressure of 20.69 MPa and an axial stress of 20.69 MPa with compression positive, so that in cylindrical coordinates σzz = 20.69 σrr = 20.69 ...A stress measurement made in a deep borehole at a depth of 500 m (1,640 ft) indicates a horizontal stress that is three times the vertical stress and that the vertical stress is consistent with an estimate based on ...Let be a continuous real-valued function on the unit circle {x € R2 : |x| =1} such that f (0, 1) = g(1, 0) = 0 and g(- x )= - g(x). Define f: R2→R by F (x) = {|x| . g (x/|x| x ≠0, 0 x = 0. (a) If x € ...Post your question