The upper deck of a football stadium is supported by braces, each of which transfers a load P=150 kips to the base of a column (see figure part a). A cap plate at the bottom of the brace distributes the load P to four flange plates (t=1 in.) through a pin (dp=2 in.) to two gusset plates (t = 1.5 in.) (see figure parts b and c). Determine the following quantities: (a) The average shear stress in the pin (b) The average bearing stress between the flange plates and the pin, and also between the gusset plates and the pin. Note: Disregard friction between the plates.

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter1: Tension, Compression, And Shear
Section: Chapter Questions
Problem 1.8.3P: The upper deck ala foothill stadium is supported by braces, each of which transfer a load P = 160...
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The upper deck of a football stadium is supported by braces, each of which
transfers a load P = 150 kips to the base of a column (see figure part a). A cap plate at the bottom
of the brace distributes the load P to four flange plates (t-1 in.) through a pin (d, = 2 in.) to two
gusset plates (t = 1.5 in.) (see figure parts b and c).
Determine the following quantities:
(a) The average shear stress in the pin
(b) The average bearing stress between the flange plates and the pin, and also between the gusset
plates and the pin
Note: Disregard friction between the plates.
(a) Stadium brace
元
(b) Detail at bottom of brace
P=150k
P12
P12
Cap plate
-Pin (dp-2 in.)
-Flange plate
(y=1 in.)
Gusset plate
(1g=1.5 in.)
(c) Section through bottom of brace
Cap plate
Flange plate
(y=1 in.)
Pin (dp-2 in.)
Gusset plate
(g-1.5 in.)
Transcribed Image Text:The upper deck of a football stadium is supported by braces, each of which transfers a load P = 150 kips to the base of a column (see figure part a). A cap plate at the bottom of the brace distributes the load P to four flange plates (t-1 in.) through a pin (d, = 2 in.) to two gusset plates (t = 1.5 in.) (see figure parts b and c). Determine the following quantities: (a) The average shear stress in the pin (b) The average bearing stress between the flange plates and the pin, and also between the gusset plates and the pin Note: Disregard friction between the plates. (a) Stadium brace 元 (b) Detail at bottom of brace P=150k P12 P12 Cap plate -Pin (dp-2 in.) -Flange plate (y=1 in.) Gusset plate (1g=1.5 in.) (c) Section through bottom of brace Cap plate Flange plate (y=1 in.) Pin (dp-2 in.) Gusset plate (g-1.5 in.)
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