The cantilever beam shown in Figure P15.15a is subjected to concentrated loads Px = 18 kips and Py = 32 kips. The cross-sectional dimensions of the rectangular tube shape shown in Figure P15.15b are b = 8 in., d = 12 in., and t = 0.25 in. Point H is located at a distance of a = 24 in. to the left of the concentrated loads. Calculate the principal stresses and maximum in-plane shear stress at point H for the following values of h: (a) h = 4.0 in. (b) h = 6.0 in. (c) h = 8.0 in.
The cantilever beam shown in Figure P15.15a is subjected to concentrated loads Px = 18 kips and Py = 32 kips. The cross-sectional dimensions of the rectangular tube shape shown in Figure P15.15b are b = 8 in., d = 12 in., and t = 0.25 in. Point H is located at a distance of a = 24 in. to the left of the concentrated loads. Calculate the principal stresses and maximum in-plane shear stress at point H for the following values of h: (a) h = 4.0 in. (b) h = 6.0 in. (c) h = 8.0 in.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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The cantilever beam shown in Figure P15.15a is subjected to concentrated loads Px = 18
kips and Py = 32 kips. The cross-sectional dimensions of the rectangular tube shape shown in
Figure P15.15b are b = 8 in., d = 12 in., and t = 0.25 in. Point H is located at a distance of a = 24
in. to the left of the concentrated loads. Calculate the principal stresses and maximum in-plane
shear stress at point H for the following values of h:
(a) h = 4.0 in.
(b) h = 6.0 in.
(c) h = 8.0 in.
FIGURE P15.15a FIGURE P15.15b
P15.43 A solid steel shaft with an outside
diameter of 1.5 in. is supported in flexible
bearings at A and C as shown in Figure
P15.43/44. Two pulleys are keyed to the shaft at
B and D. Pulley B has a diameter of D B = 14 in.
and belt tensions of T 1 = 100 lb and T 2 = 220 lb.
Pulley D has a diameter of D D = 7 in. and belt
tensions of T 3 = 60 lb and T 4 = 300 lb. Length
dimensions of the shaft are x1 = 8 in., x2 = 4 in.,
x3 = 3 in., and x4 = 6 in. Determine the normal
and shear stresses at point K on the shaft. Show
the orientation of these stresses on an
appropriate sketch.
FIGURE P15.43/44
kips and Py = 32 kips. The cross-sectional dimensions of the rectangular tube shape shown in
Figure P15.15b are b = 8 in., d = 12 in., and t = 0.25 in. Point H is located at a distance of a = 24
in. to the left of the concentrated loads. Calculate the principal stresses and maximum in-plane
shear stress at point H for the following values of h:
(a) h = 4.0 in.
(b) h = 6.0 in.
(c) h = 8.0 in.
FIGURE P15.15a FIGURE P15.15b
P15.43 A solid steel shaft with an outside
diameter of 1.5 in. is supported in flexible
bearings at A and C as shown in Figure
P15.43/44. Two pulleys are keyed to the shaft at
B and D. Pulley B has a diameter of D B = 14 in.
and belt tensions of T 1 = 100 lb and T 2 = 220 lb.
Pulley D has a diameter of D D = 7 in. and belt
tensions of T 3 = 60 lb and T 4 = 300 lb. Length
dimensions of the shaft are x1 = 8 in., x2 = 4 in.,
x3 = 3 in., and x4 = 6 in. Determine the normal
and shear stresses at point K on the shaft. Show
the orientation of these stresses on an
appropriate sketch.
FIGURE P15.43/44
Transcribed Image Text:N
H
Н.
a
FIGURE P15.15a
Py
Pr
X
h
H
y
d
t (typ.)
FIGURE P15.15b
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