A metal plate is used to hold three 250kg blocks as shown. a) Determine the magnitude and point of...

Question

A metal plate is used to hold three 250kg blocks as shown. a) Determine the magnitude and point of application of a single force that is equivalent to the system of 3 blocks shown. b) The plate is supported by 3 vertical reaction forces acting at points A, B, and C. determine the magnitude of these reaction forces.
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005_j1y6a5o-clo0ilsm.doc

Robert · Accepted Answer

1. A)  (i,j,k) are unit vectors in the (X,Y,Z )direction  
 Block 1 at (7i+2j) acts 250(-k) X 9.81 weight downwards 
Block 2 at (7i+6j) acts 250(-k) X 9.81 weight downwards 
Block 3 at (3i+6j) acts 250(-k) X 9.81 weight downwards
Equating moments about B, 
(           (  ))  (     )  (         (  ))  (     )   
                                                                                      (         (  ))  (     )   
                                                                                       (         (  ))   (     )
    (  )      ( )      (  )      ( ) 
Equating both sides 
X=5.667      y=4.667 
Total weight of 750kg is acting at (5.667i+4.667j)
b) 
Taking moment about point of application of the force, 
  (  )  *(  )  (             )+    (  )  *  (             )+    (  )
 *(     )  (             )+
     2.33( ) 4.667( ) 5.667( ) 4.667( ) 1.667( ) 2.333( ) 0i 0 ja b cR j i R j i R j i          
2.333 5.667 1.667 0a b cR R R     
4.667 4.667 2.

A metal plate is used to hold three 250kg blocks as shown. a) Determine the magnitude and point of application of a single force that is equivalent to the system of 3 blocks shown. b) The plate is...

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