A bracket is held in place by a pin joint A and slider joint

A bracket is held in place by a pin joint A and slider joint B. What is the reaction at B? 59.2 N 66.5 N 69.6 N 133.0 N 79.2 N Determine the reaction vertical force at A. 65 lb 50 lb 70 lb 60 lb 55 lb A force F = 450 N acts on the bracket. Determine the magnitude of the horizontal reaction at A.

Solution

>> Problem 6

Rax = Reaction at Pin A in horizontal direction

Ray = Reaction at Pin A in vertical direction

Rb = Rection at B in Vertical Direction (because it is a slider joint)

>> Now, in Equilibrium,

Net Horizontal Force = 0

=> Rax = 85*cos35 = 69.628 N

and, in vertical Direction,

=> Ray + Rb = 85*sin35 = 48.754 N

>> Now, Moment about A = 0

=> 1*85*sin35 + 1.3*85*cos35 + 2*Rb = 0

=>Rb = - 69.635 N

So, Ray = 118.389 N

>> Reaction at B = 69.6 N ...Option C .....

>> Problem 7

>> Now, Let F1 = Resultant of Traingular distributed load

and, F2 = Resultant of Uniform Distributed Load

=> F1 = (1/2)*20*6 = 60 lb

and, it will act at (6 - 6/3) = 4 ft from A

>> F2 = 10*6 = 60 lb

and it will act at (6 + 6/2) = 9 ft ftom A

>> Now, Let Ra and Rb are the vertical reaction force at A & B respectively.

As, Ra + Rb = F1 + F2 = 120 lb ...(1)....

Taking Moment about A,

=> 4*60 + 9*60 = 12*Rb

=> Rb = 65 lb

From (1),

Ra = Vertical Reaction force at A = 55 lb ........OPTION E ........