The solid shaft is fixed to the support at C and subjected to the torsional loadings and axial load P as shown. a. Determine the torsional shear stress at Point A (50mm from the center) and Point B (on the Surface) b. Determine the absolute maximum torsional shear stress in the shaft. c. sketch the state of stress at point A and draw its corresponding Mohr’s Circle of stress. compute the principal stresses and maximum in-plane stress. T=10.38kN-m

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1.1 Two solid cylindrical rods AB and BC are welded together at B and loaded as shown. Knowing that d₁ = 30 mm and d₂ = 50 mm, find the average normal stress at the midsection of (a) rod AB, (b) rod BC. d₂ 125 kN B 60 kN 125 kN 1.2 m 0,9 m

All forces applied in the system are in the (x - y) plane. The material point B at the top of the beam is rotated at an angle of 15° counterclockwise. It is required that the shear stress is 17.5 MPa for this rotated material point B. At the bottom point A of the beam it is required that the maximum tensile stress is 110 MPa. Determine the load P and the length d that satisfies these constraints defined for points A and B. Given data: L= 4 b, t = b / 25, c = 2b, b = 1000 mm, e = 12, f=5 b/4- q = 2P/L b/ 4 -b/4- P