A force, F is applied to a lever -shaft assembly as shown in the figure. F = 534 N. Determine the scalar component of the moment at point 0 about line OB and the reaction at 0. A 1.4 Two rectangular...

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A force, F is applied to a lever -shaft assembly as shown in the figure. F = 534 N. Determine the scalar component of the moment at point 0 about line OB and the reaction at 0.
A
1.4 Two rectangular bars of 10-mm thickness are loaded as shown in the figure. If the average normal stress on plane AA is 150 MPa in compression determine a. The force F b. The average normal and shear stresses on plane BB.
,-.• 60 mm
65'
re B
1 • 3


Answered Same DayDec 29, 2021

Answer To: A force, F is applied to a lever -shaft assembly as shown in the figure. F = 534 N. Determine the...

David answered on Dec 29 2021
122 Votes
Microsoft Word - Solutions.docx
Problem 1
Free body diagram
The line of force is alone PA.
The
distance between the point P and A is
2 2
PAd 400 350 50 113 531.507mm= + = =
Given that F= 534N
Hence , the components of force F are given by
{ }
{ }
{ }
x x
y y
z z
F Fcos( ) 534 0 / 531.507 0 N
F Fcos( ) 534 350 / 531.507 351.6N
F Fcos( ) 534 400 / 531.507 401.9N
= θ = =
= θ = =
= θ = − = −

Therefore , the force F can be written in the vector form as
F 0i 351.6 j 401.9k N= + −
Now, the distance between the origin O and the point A which is on the line of the force F, is
OAr 275i 350j 0k mm= + +
The moment about the point O, is given by
o x y z
x y z
i j k
M r r r
F F F
=
Now, substituting the values, we get
o
o
i j k
M 275 350 0
0 351.6 401.9
[350*( 401.9) 0]i [275*( 401.9) 0]j [275*351.6 0]k
M 140.665 i...
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