The upper deck of a footballs stadium is supported by braces, each of which transfers a load P = 700 kN 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 (tf = 25 mm) through a pin (dp = 50 mm) to two gusset plates (tg = 38 mm) (see figure parts b and c). Determine the following quantities: The average shear stress in the pin. The average bearing stress between the flange plates and the pin, and also The average bearing stress between the gusset plates and the pin.

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter8: Applications Of Plane Stress (pressure Vessels, Beams, And Combined Loadings)
Section: Chapter Questions
Problem 8.3.5P: An inflatable structure used by a traveling circus has the shape of a half-circular cylinder with...
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  1. The upper deck of a footballs stadium is supported by braces, each of which transfers a load P = 700 kN 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 (tf = 25 mm) through a pin (dp = 50 mm) to two gusset plates (tg = 38 mm) (see figure parts b and c).

    Determine the following quantities:

    • The average shear stress in the pin.
    • The average bearing stress between the flange plates and the pin, and also
    • The average bearing stress between the gusset plates and the pin.
P = 700 KN
P/2
P/2
Cap plate
-Pin (d₂ = 50 mm)
Flange plate
(ty=25 mm)
-Gusset plate
(1₂=38 mm)
(c) Section through bottom of brace
Transcribed Image Text:P = 700 KN P/2 P/2 Cap plate -Pin (d₂ = 50 mm) Flange plate (ty=25 mm) -Gusset plate (1₂=38 mm) (c) Section through bottom of brace
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