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

m15.5 Determine the stresses acting at point K in the beam. m15.6 Determine the internal forces (axial force, shear force,
and torque) and the bending moments at a specific location
in a member subjected to in-plane and out-of-plane forces.
FIGURE m15.5
pRoBLEmS
FIGURE m15.6
p15.26 A short rectangular post supports a compressive load
P = 35 kN as shown in Figure P15.26a. A top view indicating the
location where P is applied to the top of the post is shown in
Figure P15.26b. The cross-sectional dimensions of the post are
b = 240 mm and d = 160 mm. The load P is applied at distances
y P = 60 mm and z P = 50 mm offset from the centroid of the post.
Determine the normal stresses at corners A, B, C, and D of the post.
P
p15.27 Three loads are applied to the rectangular tube shown
in Figure P15.27a/28a. The load magnitudes are P = 175 kN,
Q = 60 kN, and R = 85 kN. The dimensions of the tube, as shown
in Figure P15.27b/28b, are b = 150 mm, d = 200 mm, t = 10 mm,
and z K = 50 mm. The location of load P is also shown in this figure.
Use a = 125 mm, and determine the normal and shear stresses that
act at point H. Show these stresses on a stress element.
y
P
x
Q
a
b
R
a
z K
y
C
D
A
z
z
H
K
x
FIGURE p15.26a
FIGURE p15.27a/28a
y P
b – t
2
P
d
C
y
z
P
B
z P
d
t
(typ)
z
x
K
d – t
2
z K
D
b
A
H
b
FIGURE p15.26b Top view of post.
FIGURE p15.27b/28b
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