Quiz 2/Find the state of stresses and principal stresses at point (A)and point (B) for the circular cantilever rod of a diameter (5 cm) shown in figure bellow. Knowing that the rod is subjected to a force (F= 12 kN), axial force (P-2 kN) and to a torque (T=488 N. m). Then if σ yield-280 Mpa, Find the safety factor N using Tresca Theory. L= 300 mm P=2 kN

An element in plane stress is subjected to stresses sx= -5500 psi, sy= -2000 psi, and Tx. = 1900 psi (see the figure for Problem 7.3-1). Determine the principal stresses and show them on a sketch of a properly oriented element.

Repeat Problem 8.5-22 but replace the square tube column with a circular tube having a wall thickness r = 5 mm and the same cross-sectional area (3900 mm2) as that of the square tube in figure b in Problem 8.5-22. Also, add force P. = 120 N at B (a) Find the state of plane stress at C. (b) Find maximum normal stresses and show them on a sketch of a properly oriented element. (c) Find maximum shear stresses and show them on a sketch of a properly oriented element.

Solve the preceding problem if the element is steel (E = 200 GPa. p = 0.30) with dimensions a = 300 mm. h = 150 mm. and c = 150 mm a n d with the stresses (T( = —62 MPa, r. = -45 MPa, and = MPa. For part (e) of Problem 7.6-3, find the maximum value of u. if the change in volume must be limited to —0.028%. For part (0. find the required value of if the strain energy must be 60 J.

An element in plane stress from the fuselage of an airplane is subjected to compressive stresses of magnitude 35 MPa in the horizontal direction and tensile stresses of magnitude 6.5 MPa in the vertical direct ion. Also, shear stresses of magnitude 12.5 MPa act in the directions shown (see the figure for Problem 7.2-8). Determine the maximum shear stresses and associated normal stresses and show them on a sketch of a properly oriented element.

A solid aluminum bar (G = 27 GPa ) of diameter d = 40 mm is subjected to torques T = 300 N - m acting in the directions shown in the figure, Determine the maximum shear, tensile, and compressive stresses in the bar and show these stresses on sketches of properly oriented stress elements. Determine the corresponding maximum strains (shear, tensile, and compressive) in the bar and show these strains on sketches of the deformed elements.

An element in plane stress is subjected to stresses ??x= 5750 psi, sy = 1100 psi, and txy= 750 psi (see the figure for Problem 7.3-1). Determine the principal stresses and show them on a sketch of a properly oriented element.

A circle of a diameter d = 200 mm is etched on a brass plate (see figure). The plate has dimensions of 400 x 400 x 20 mm. Forces are applied to the plate, producing uniformly distributed normal stressescr^ =59 MPaander^ = —17 MPa. Calculate the following quantities: (a) the change in length Aac of diameter at: (b) the change in length Abd of diameter bd; (c) the change At in the thickness of the plate; (d) the change AV in the volume of the plate; (e) the strain energy U stored in the plate; (f) the maximum permissible thickness of the plate when strain energy £/must be at least 784 J; and (g) the maximum permissible value of normal stress axwhen the change in volume of the plate cannot exceed 0.015% of the original volume. (Assume E = 100 GPa and v = 0.34

The hollow drill pipe for an oil well (sec figure) is 6,2 in. in outer diameter and 0.75 in. in thickness. Just above the bit, the compressive force in the pipe (due to the weight of the pipe) is 62 kips and the torque (due to drilling) is 185 kip-in. Determine the maximum tensile, compressive, and shear stresses in the drill pipe.

A circular copper bar with diameter d = 3 in. is subjected to torques T = 30 kip-in. at its ends. Find i lie maximum shear, ion si le. and compressive stresses in the tube and their corresponding strains. Assume that G = 6000 ksi.