The sign is supported by a hollow structural tube of 15 in. outer diameter and 0.5 in. wall thickness. Given the weight and the design 3 ft wind loading both acting at the center of the sign, determine the state of stress at points a and 6. Write each state of stress in the form of a tensor, observing the r y-z cordinate system shown, and sketch the stresses acting on a differential element at each point. s kips 3 kips" 3 ft

The closed thin-walled tank has an inner radius of r and wall thickness t and contains a gas of pressure of p. The state of stress at point "a" on the surface of the tank is represented by stress components with an unknown stress element rotation angle of 0. Note that, the two normal stress components for x'y' system (note: not xy system!) are known: ox, = 120 MPa and Oy = 180 MPa, but the shear stress component (T,) is unknown. Determine: (1) the principal stresses at point a ; (2) Tx'yı ; (3) rotation angle of 0 . y 180 MPa 120 MPа х 0 = ? a Tyy = ? tank cross section stress state at point a

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The solid cylinder having a radius r is placed in a sealed container and subjected to a pressure p. Determine the stress components acting at point A located on the center line of the cylinder. Draw Mohr's circles for the element at this point. A

The solid bar has a diameter of 50 mm. The two forces and the torque Tx are acting at the origin of the x-y-z coordinate system which is coincident with the centroid of the cross-section of the bar; the 1800 N force is acting in the y-z plane and torque Tx is acting about the x-axis. Determine the state of stress at points A and B, and show the respective stress components acting on differential elements located at these two points. 200 mm/ y 200 mm 1200 N Tx = 40 N.m %3D 1800 N

The pressure tank shown has an outside diameter of 100 mm and a wall thickness of 10 mm. Determine the absolute maximum shear stress at point H on the inner surface if the internal gauge pressure is 1.25 MPa and the applied torque is 375N•m. Show the stress state in matrix form and calculate eigenvalues.

The solid rod has a radius of 30 mm. Determine the state of stress at points a and b. Write each state of stress in the 500 mm form of a tensor, observing the z y-z coordinate system shown, and sketch the stresses acting on a differential element at cach point. e= 30 mm 10 kN

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The W-kg man stands in the position shown. If the center of gravity of the man is at Gand assuming that the contact point at C is smooth.a) Find the reactions at B and C. b) Determine the state of stress at point A on the cross section of the plank at sectiona–a (Cubic stress element in 2D).

Determine state of stress at the remaining points (P2, P3 and P4). Calculate the maximumprincipal (σ1) and maximum in-plane stress (τmax) for the remaining points (P2, P3 and P4) located at Point A.