Gere & Goodno — Analysis of Stress and Strain: Problem 7.2-7

7.2-7 The stresses acting on element B on the web of a train rail (see figure part a of Problem 7.2-5) are found to be 40 MPa in compression in the horizontal direction and 16 MPa in compression in the vertical direction (see figure). Also, shear stresses of magnitude 17 MPa act in the directions shown. Determine the stresses acting on an element oriented at a counterclockwise angle of 48° from the horizontal. Show these stresses on a sketch of an element oriented at this angle.