Which of the plot(s) shown is/are valid Mohrβs circle representations of a plane stress state in a material? (The center of each circle is indicated by O.)
A beam of length πΏ is loaded in the π₯π¦ βplane by a uniformly distributed load, and by a concentrated tip load parallel to the π§ βaxis, as shown in the figure. The resulting bending moment distributions about the π¦ and the π§ axes are denoted by ππ¦ and ππ§ , respectively.
Which one of the options given depicts qualitatively CORRECT variations of ππ¦ and ππ§ along the length of the beam?
The figure shows a thin-walled open-top cylindrical vessel of radius π and wall thickness π‘. The vessel is held along the brim and contains a constant-density liquid to height β from the base. Neglect atmospheric pressure, the weight of the vessel and bending stresses in the vessel walls.
Which one of the plots depicts qualitatively CORRECT dependence of the magnitudes of axial wall stress (Ο1) and circumferential wall stress (Ο2) on π¦?