Chapter 9.5, Problem 88P

Determine the maximum distance d to the edge of the plate at which the force P can be applied so that it produces no compressive stresses on the plate at section a–a. The plate has a thickness of 20 mm and P acts along thecenterline of this thickness.

Determine the normal stress and shear stress acting on the inclined plane AB. Solve the problem using the stress transformation equations. Show the results on the sectional element.

The steel pipe has an inner diameter of 2.75 in. and an outer diameter of 3 in. If it is fixed at C and subjected to the horizontal 20-lb force acting on the handle of the pipe wrench, determine the principal stresses in the pipe at point B, which is located on the surface of the pipe.

The propeller shaft of the tugboat is subjected to the compressive force and torque shown. If the shaft has an inner diameter of 100 mm and an outer diameter of 150 mm, determine the principal stresses at a point A located on the outer surface.

The rod has a diameter of 40 mm. If it is subjected to the force system shown, determine the stress components that act at point A, and show the results on a volume element located at this point.

The state of stress at a point is shown on the element. Determine (a) the principal stresses and (b) the maximum in-plane shear stress and average normal stress at the point. Specify the orientation of the element in each case.

The bent shaft is fixed in the wall at A. If a force F is applied at B (the force is acting on the plane parallel to the x-o-y plane). Take F = 54 N and 0 = 45°. 1. Determine the internal forces acting on the section containing points D and E 2. Determine the normal stress component acting at point E 3. Determine the shear stress component developed at point E 4. Draw the state of stress on a volume element (stress element) located at point E 5. Determine the principal stresses acting at point E by constructing Mohr's circle A 150 mm E 200 mm 30 mm 75 mm B F

Determine the normal and shear stresses at point Aand B. The cross-section of the bar is 12x12 mm.

Determine the normal stress and shear stress acting on the inclined plane AB. Sketch the result on the sectioned element.