Timothy A. Philpot - Mechanics of materials _ an integrated learning system-John Wiley (2017)

m8.15 Moment-of-inertia calculations involving shapes
built up from standard steel shapes.
ExERcISES
m8.8 Calculate the tension and compression bending stresses
produced in singly symmetric cross sections.
m8.9 Given a specific bending-moment diagram of a beam,
compute the maximum tension and compression bending stresses
produced at any location along the beam span.
m8.10 Given an allowable tension bending stress and an allowable
compression bending stress, determine the maximum internal
bending-moment magnitude that may be applied to a beam.
FIGURE m8.8
pRoBLEmS
p8.15 A solid steel shaft 1.125 in. in diameter supports loads
P A = 65 lb, P C = 150 lb, and P E = 55 lb as shown in Figure P8.15.
Assume that a = 10 in., b = 25 in., c = 13 in., and d = 16 in. The
bearing at B can be idealized as a roller support, and the bearing at
D can be idealized as a pin support. Determine the magnitude and
location of the maximum bending stress in the shaft.
PA
A B C D E
a b c d
FIGURE p8.15
PC
PE
262