The cantilever beam is subjected to a concentrated load of P = 22 kips. The cross-sectional dimensions of the rectangular tube shape are b = 3.8 in., d = 7.00 in., and t = 0.375 in. Determine: (a) the magnitude of the shear stress at point K, which is located to the left of the vertical centroidal axis at zk = 0.8 in. (b) the magnitude of the maximum horizontal shear stress in the rectangular tube shape. b H H y d P. (ур.) K ZK Answer: ksi (a) TK = i ksi (b) Tmax = i

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

2.18. The stress at a point is defined by the components Oxr = 85 MPa, Oyy= 320 MPa, oz= 100 MPa, Ory =-40 MPa, ơ =50 MPa, ơzx=-20 MPa. Find the three principal stresses, sketch the three Mohr's circles and hence determine the magnitude of the maximum shear stress. yz

Two solid bars support a load P as shown. Bar (1) has a cross-sectional area of A₁ - 4300 mm² and an allowable normal stress of 150 MPa. Bar (2) has a cross-sectional area of A₂ = 2550 mm² and an allowable normal stress of 125 MPa. Assume x₁-23m.x₂-3.9 m.y1 = 1.4 m, and y₂ = 2.4 m. Determine the maximum load Pmax that can be supported by the structure without exceeding either allowable normal stress. Y₁ Answer: Pmax= i| B P ! KN