Draw and dimension the load and reaction diagram, the shear diagram, and the bending moment diagram for the beams shown in the following figures:
An element is acted upon by the following stresses: σx = 49 MPa, σy = 14 MPa, and τxy = 14 MPa.
(a) By means of the equations, compute the stresses on the sides of an element oriented 30° clockwise with the x axis.
(b) Find the value of φ for maximum and minimum normal stress and compute the values of these stresses.
(c) Repeat part (b) for maximum shear.
(d) Make a view showing the given state of stress, and draw the corresponding Mohr circle. Scale the stresses for the element oriented 30° from the x axis, and compare them with the results secured by use of the equations. Draw a view of this element with the stresses placed thereon.
(e) Scale the values of the maximum and minimum normal stress and represent them by arrows on an element oriented at the proper angle.
(f) Repeat for the element that is subjected to the maximum shearing stress.
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