Gere & Goodno — Analysis of Stress and Strain: Problem 7.3-6

7.3-6 The stresses acting on element A in the web of a train rail are found to be 40 MPa tension in the horizontal direction and 160 MPa compression in the vertical direction. Also, shear stresses of magnitude 54 MPa act in the directions shown (see the figure b for Problem 7.2-5). Determine the principal stresses and show them on a sketch of a properly oriented element.