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Chapter 9, Problem 12P
To determine

Find the mass and mass moment of inertia of the shaft.

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In excavation for a wall footing, the water table level was lowered from a depth of 1.0 m to a depth of 3.0 m in a clayey soil deposit. Considering that the soil has a water content of 28% when it is fully saturated, and above the water table the (dry) unit weight of the soil is 17 kN/m³. Assuming initially that all of the soil above the water table is dry, then compute the following: 1. The effective stress at a depth of 4.0 m after the lowering of the water table. Take Gs = 2.68. (Hints: w*Gs=Sr*e) 2. The increase in effective stress at a depth of 5 m. (You also need to plot the values of total vertical stress and effective vertical stress against depth before and after lowering the water table.)
Calculate the collapse load (P) for the two fixed ended beam shown below. P 2 m 4 m L=6m
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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