Find the second moment of area, the location of the neutral axis, and the distances from the neutral axis to the top and bottom surfaces. Consider that the section is transmitting a positive bending moment about the z axis, Mz, where M₂ = 10 kip-in if the dimensions of the section are given in ips units, or M₂ = 1.13 kN-m if the dimensions are in SI units. Determine the resulting stresses at the top and bottom surfaces and at every abrupt change in the cross section. From the figure, 12.5 B 50 100 12.5. 12.5 25 The area is determined to be 3750 D ↑ 100 mm². The distances from the neutral axis to the top and bottom surfaces are determined to be 57.292 mm and 42.708 The second moment of area is determined to be 4.293 x 106 mm4. mm.

For the beam shown in the figure: Determine the normal and shear stress at a point located at 4.5 ft from support B and 4 inches from the top of the section. Draw the Mohr's circle for the stresses at that point and calculate the principal stresses and the max in plane shear stress as well as their directions. Show these stresses on appropriately oriented elements. A 1600 lb 1.5 ft 80 lb/ft -9 ft B 1.5 in. 4 in 11.5 in.

The solid shaft of radius c is subjected to a torque T at its ends. Show that the maximum shear strain in the shaft is gmax = Tc>JG. What is the shear strain on an element located at point A, c>2 from the center of the shaft? Sketch the shear strain distortion of this element.

The figure shows the stresses at a point. Determine the principal stresses and the maximum shear stress. Show these values on the faces of properly oriented stress blocks.