The supporting structure of the billboard is attached to the ground by a pin at B, and its rear leg rests on the ground at A. Friction may be neglected. Point G is the center of gravity of the billboard of the structure, which together has a mass of 14?. The wind load on the billboard is ? = 1500 ?⁄?. To prevent tipping over in high winds, a 1500 ?? mass is placed on the structure near A as shown in the figure. Determine the following: (a) the diameter of the pin at B for which the allowable shearing stress in the pin is 100 MPa, (b) the corresponding bearing stress in the bracket at B.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Question

The supporting structure of the billboard is attached to the ground by a pin at B, and its rear leg rests on the
ground at A. Friction may be neglected. Point G is the center of gravity of the billboard of the structure, which
together has a mass of 14?. The wind load on the billboard is ? = 1500 ?⁄?. To prevent tipping over in high
winds, a 1500 ?? mass is placed on the structure near A as shown in the figure. Determine the following: (a)
the diameter of the pin at B for which the allowable shearing stress in the pin is 100 MPa, (b) the corresponding
bearing stress in the bracket at B.

q N/m
5 m
// \\
9 mm
+ 0.75 m
4 m
1200 kg
В
Pin
B
0.75 m
-3.5 m-
5 mm
Bracket
Transcribed Image Text:q N/m 5 m // \\ 9 mm + 0.75 m 4 m 1200 kg В Pin B 0.75 m -3.5 m- 5 mm Bracket
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