Find the appropriate unit for J (shaft’s polar moment of inertia).

Question

The vertical stress at a point in soil is σx =400 kN/m², Txz = 50kN/m² while the horizontal stress at the same point is σ =100 kN/m², Tzx = -50kN/m². (a) Draw the Mohr circle that describes the 2D stress state at the point. (b) Find the maximum shear stress that acts at the point and its orientation angle from the horizontal plane. (c) Find the principal stress (σ₁ and σ3) that acts at the point and locate the major principal stress plane and its orientation angle from the horizontal plane (Use the pole method). (d) Determine both the normal and shear stress at a plane that orientates from the major principal stress plane with an angle of 30° (counterclockwise direction) and verify your results with the stress transformation equations.

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Chapter 6, Problem 3P

To determine

Find the appropriate unit for J (shaft’s polar moment of inertia).

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