Q2: It is required to design a mat foundation for a large machine, which rests on four pedestals. The magnitude of vertical forces on each pedestal are given in the Figure below. Calculate the soil pressures at the corners of the mat.

X=30 Pls answer this question correctly. Explain every portion and try keep handwriting good

Problem #3: A circular shaft, fixed to the wall, is loaded as indicated in the figure below. Using all three failure criteria (Rankine's theory, Tresca criterion, and Von Mises criterion), determine the load magnitude, R, that causes yielding at point A on the cross-section. Assume the yield strength of the material is 64 ksi. Notes: . . ● Point A is at the mid-depth of the section and on the leftmost fiber (as viewed below). At the fixed base, the shaft will be subjected to a bending moment, a torsional moment, a shear force, and a normal force. Recall for a circular cross-section; 1=d¹ and/=d. Q does not need to be provided, as you should see herein. A 3 ft R 4 in. F T 2 ft 12R X

Two foundations are located next to each other as follows. Determine the stress increase on a horizontal plane (i.e. - the increase in vertical stress) beneath Point A at a depth of 3 m below the ground surface. The foundations are bearing on the ground surface. 3 m- +2.5 m -6 m 5 m A O= 90 kPa = 120 kPa 6 m