#318 The upper deck of a football stadium

The upper deck of a football stadium - Mechanical Engineering

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Free Chegg Question

The upper deck of a football stadium is supported by braces, each of which transfers a load = 160 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_f = 1 in.) through a pin (d_p = 2 in.) to two gusset plates (t_g = 1.5 in.) (see figure parts b and c).

Determine the following quantities.

(a) The average shear stress τaver in the pin.

(b) The average bearing stress between the flange plates and the pin (σ_bf), and also between the gusset plates and the pin (σ_bg).

(Disregard friction between the plates.)

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Free Chegg Answer

 

 

1. Step 1 of 4

   Given that,

   Load transfer to the base of a column, 

   Force of each flange, 

   

   Thickness of the flange, 

   Diameter of a pin, 

   Thickness of the guest plate, 

2. Step 2 of 4

   (a) Average shear stress in the pin, 

   

   

   

   Average shear stress in the in pin 

3. Step 3 of 4

   (b) Average bearing stress between the flange plate and the pin, 

   

   

   

   

4. Step 4 of 4

   Average bearing stress between the gusset plate and the pin,