In an experimental determination of principal stresses a cantilever of hollow circular cross section is subjected to a varying bending moment and torque; the internal and external diameters of the cantilever are 40 and 50 mm, respectively. For a given loading condition the bending moment and torque at a particular section of the cantilever are 100 and 50 Nm, respectively. Calculate the maximum and minimum principal stresses ata point on the outer surface of the cantileverat this section where the direct stress produced by the bending moment is tensile. Determine also the maximum shear stress at the point and the inclination of the principal stresses to the axis of the cantilever.

In an experimental determination of principal stresses a cantilever of hollow circular cross section is subjected to a varying bending moment and torque; the internal and external diameters of the cantilever are 40 and 50 mm, respectively. For a given loading condition the bending moment and torque at a particular section of the cantilever are 100 and 50 Nm, respectively. Calculate the maximum and minimum principal stresses ata point on the outer surface of the cantileverat this section where the direct stress produced by the bending moment is tensile. Determine also the maximum shear stress at the point and the inclination of the principal stresses to the axis of the cantilever.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter3: Torsion

Section: Chapter Questions

Problem 3.11.14P: A long, thin-walled tapered tube AB with a circular cross section (see figure) is subjected to a...

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