A soil profile is shown in the Fig. below. Calculate the effective stress, neutral stress, and total stress at points A & B. 3.5 m y = 14.0 kN/m3 Silty sand (SM) 2.5 m y = 17.5 kN/m3 4.2 m y = 13.5 kN/m3 Soft clay (CL) 5.0 m 2.0 m 3.1 m y = 15.0 kN/m Medium clay (CH) Glacial till

Mohr's circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 220 psi in size. (a) Determine the stresses Ox, Oy, and the magnitude of Txy and show them on a stress element. (b) Determine the principal stresses and the magnitude of the maximum in-plane shear stress acting at the point and show these stresses on an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16). Answer: (a) ox= i Oy = Txy = i i (b) Op1 = i op2 = i max in-plane y i C psi psi psi X psi psi psi σ

In the shown diagram below, the curved out bar has an axis that is circular (with mean radius r = 12in) and is subjected to the m horizontal forces P = 400lb at the two ends. The cross-section of the bar is a triangular shape with height h and thickness t. If the allowable tensile stress in the bar is 12,000 psi, and height h=1.2 in, what's the minimum thickness tmin that is required?

Mohr’s circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 600 psi in size. (a) Determine the stresses σx, σy, and the magnitude of τxy and show them on a stress element. (b) Determine the principal stresses and the magnitude of the maximum in-plane shear stress acting at the point and show these stresses on an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16).