Problem #2: The following tank presents the following data: External diameter of 16 inches • ½ inch wall thickness Internal Pressure 600 psi. 12 kip. ft B 48 kip ft A 16 in. p = 600 psi For point B, determine: a) The state of normal and shear stresses. b) The maximum and minimum efforts. Indicate the orientation of the principal axes c) The maximum shear stress. Indicate the orientation of the axes for this effort

Problem 3. Strains are measured on the surface of a structural component as &A = = 1200 x 10-6. EB = 500 x 10-6, &c = 300 × 10-6. E = 200 GPa and v = 0.3. b) a) Find the principal stresses and show these on a sketch of a properly oriented element. Use Mohr's Circle to find the stresses at 0 = 30° counterclockwise from the x axis and show these on a sketch of a properly oriented element. y 60° C B A X

The state of stress shown to the left was produced by a combination of loadings on a body that is not shown. Determine the following via Mohr's circle: A) Draw Mohr's Circle for the x-y plane. B) Determine the principal stresses - All 3. C) Sketch a properly oriented differential element showing the principal stresses in the x-y plane. D) Determine the magnitude of the maximum shear stress in the x-y plane. E) Sketch a properly oriented differential element showing the maximum shear stress state in the x-y plane. F) Determine the magnitude of the absolute maximum shear stress (and include the two out of plane circles on your original figure). Use the following values for the magnitudes of the stresses: x = 0₂ Txy Ox X X 10 ksi, σy = 4 ksi, σ₂ = 3 ksi, Txy = 4 ksi

Consider the following plane stress state: Ox=30 MPa, y= -60 MPa, Txy= 30 MPa cw Calculate the following: 1. The coordinates of the center of the Mohr's circle C The location of the center of the Mohr's circle Cis ( 2. Principal normal stresses (01, 02) The principal normal stresses are σ₁ = 39.08 3. Maximum shear stress (7) The maximum shear stress is 54.08 MPa. 4. The angle from the x axis to 0₁ (p) The angle from the x axis to 0₁ (p) is -16.85 5. The angle from the x axis to 7 (s) The angle from the x axis to T (s) is 28.15 6. The radius of the Mohr's circle The radius of the Mohr's circle is 54.08. ✰ MPa. MPa and 02 = -69.08 MPa. O -15 MPa, CW CCW O MPa).

3. As shown, a vertical 200 lb force is applied to the gear and shaft assembly at point D. Shaft ABC is solid and has a 0.5 in. radius. (you may use a coordinate system of your choice, as long it's correct.) y 2.5 in. 10 in. D H B Z X 200 lb a) Determine the state stress (all stresses with their indices) at point H on top of the shaft. b) Determine the principal stresses and max shear stress at point H.