Q.1 A structure is supported by braces each of which transfers P = 160 k a load P = 160 kips to the base of a column as shown in figure. A cap plate at the bottom of the brace distributes Cap plate the load P to four flange plates through a pin to two gusset plates. Diameter of Pin and thickness of flange - Pin (d, = 2 in.) plate and gusset plate are provided in figure. Determine -Flange plate (a) The average shear stress in the pin. (1y = 1 in.) (b) The average bearing stress between the flange plates and Gusset plate (tg = 1.5 in.) the pin. (c) The normal axial stress in gusset plate. Assume that P/2 P2 gusset plate is 4 inch wide.

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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Q.1 A structure is supported by braces each of which transfers
P = 160 k
a load P = 160 kips to the base of a column as shown in
figure. A cap plate at the bottom of the brace distributes
Cap plate
the load P to four flange plates through a pin to two
gusset plates. Diameter of Pin and thickness of flange
- Pin (d, = 2 in.)
plate and gusset plate are provided in figure. Determine
-Flange plate
(a) The average shear stress in the pin.
(1y = 1 in.)
(b) The average bearing stress between the flange plates and
Gusset plate
(tg = 1.5 in.)
the pin.
(c) The normal axial stress in gusset plate. Assume that
P/2
P2
gusset plate is 4 inch wide.
Transcribed Image Text:Q.1 A structure is supported by braces each of which transfers P = 160 k a load P = 160 kips to the base of a column as shown in figure. A cap plate at the bottom of the brace distributes Cap plate the load P to four flange plates through a pin to two gusset plates. Diameter of Pin and thickness of flange - Pin (d, = 2 in.) plate and gusset plate are provided in figure. Determine -Flange plate (a) The average shear stress in the pin. (1y = 1 in.) (b) The average bearing stress between the flange plates and Gusset plate (tg = 1.5 in.) the pin. (c) The normal axial stress in gusset plate. Assume that P/2 P2 gusset plate is 4 inch wide.
Expert Solution
Step 1

Write the given values along with suitable variables.

Mechanical Engineering homework question answer, step 1, image 1

Step 2

(a)

Write the expression for average shear stress in the pin and substitute the values from the previous step.

Mechanical Engineering homework question answer, step 2, image 1

Step 3

(b)

Now write the expression to find the value of average bearing stress between the flange plate and the pin and substitute the values from step 1.

Mechanical Engineering homework question answer, step 3, image 1

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