(b) Shear stress in pin B. The cross-sectional area of a 7-mm-diameter pin is: 4-7 mm' 38.485 mm Pin Bis a double shear connection; therefore, its average shear stress is 1,843.092 N Please explain why we divided by 2, and how we knew it is double shear 2(38.485 mm) 23.9 MPa
(b) Shear stress in pin B. The cross-sectional area of a 7-mm-diameter pin is: 4-7 mm' 38.485 mm Pin Bis a double shear connection; therefore, its average shear stress is 1,843.092 N Please explain why we divided by 2, and how we knew it is double shear 2(38.485 mm) 23.9 MPa
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Question
Please explain why we divided by 2, and how we knew it is double shear

Transcribed Image Text:PI30 Rigid bar ABC shown in Figure Pl.30 is
supported by a pin at bracket Aand by tie rod (1).
Tie rod (1) has a diameter of 5 mm, and it is
supported by double-shear pin connections at Band
D. The pin at bracket Ais a single-shear
connection. All pins are 7 mm in diameter.
Assume a - 600 mm, b-300 mm, h-450 mm, P
- 900 N, and e= 55. Determine the following:
(a) the normal stress in rod (1)
(b) the shear stress in pin B
(c) the shear stress in pin A
FIGURE PL30
Solution
Equilibrium: Using the FBD shown, calculate
the reaction forces that act on rigid bar ABC.
EM, = F, sin(36.87°)(600 mm)
-(00 N)sin (55 X900 mm) =0
F = L843.092 N
EF,=A-(1,843.092 N)cos(36.87)+(900 N)cos(55) 0
A =958.255 N
EF, A+(1.843.092 Njsin(36.87)-(900 N)sin(55) 0
A--368.618 N
The resultant force at Ais
14-J958.255 N) +(-368.618 Ny =1,026.709 N
(a) Normal stress in rod (1).
A-(5 mm) = 19.635 mm
1,843.092 N
19.635 mm
93.9 MPa
As.
(b) Shear stress in pin B. The cross-sectional arca of a 7-mm-diameter pin is:
4-7 mm) 38.485 mm
Pin Bis a double shear connection; therefore, its average shear stress is
Please explain why we divided by 2,
and how we knew it is double shear
1,843.092 N
23.9 MPa
2(38.485 mm)
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