A steel pipe (D = 3.500 in.; d = 3.068 in.) supports a concentrated load of P = 713 lb as shown. The span length of the cantilever beam is L = 2 ft. Determine the magnitude of the maximum bending stress in the pipe.

For a beam with the cross-section shown (w = 14 in. and h = 5 in.), find the distance from the bottom surface of the beam to the centroid.

If P = 174 kN, determine the normal stress produced at point H of the pier support shown.

A 81-lb child and a 22-lb cardboard box are on an oak beam. Determine the vertical reaction force at the right end of the beam. Let a = 22 in., b = 32 in., and c = 52 in.

Use the graphical method to construct the shear-force and bending moment diagrams and identify the magnitude of the largest bending moment (consider both positive and negative peaks). Use w = 330 lb/in., a = 1.000 in. and b = 1.250 in. The reaction forces for this beam are Ay = Dy = 206.25 lb (both upward).

For the shape shown, b = 12 in. and d = 6 in. Calculate the vertical distance from point H to the z centroidal axis.

If w = 8.50 in., find the moment of inertia about the z axis. The centroid of the section is located 2.8468 in. above the bottom surface of the beam.

An aluminum [E = 7,880 ksi] bar is bonded to a steel [E = 31,850 ksi] bar to form a composite beam as shown. The composite beam is subjected to a bending moment of M = +368 lb-ft about the z axis. If the centroid of the equivalent all-aluminum beam is 0.651 in. above the bottom surface of the beam, and the moment of inertia about the z axis of the equivalent all-aluminum beam is 0.2291 in.4, find the magnitude of the maximum bending stress in the steel.

If P = 178 kN, determine the normal stress produced at point H of the pier support shown.

If P = 248 kN, determine the normal stress produced at point H of the pier support shown.