Drawing not to scale Neglect the weight of the beam What is

Drawing not to scale. Neglect the weight of the beam.

What is the magnitude of the reaction force on the beam at A?

Solution

now balancing moment about point B,

(1.3 x 230) + (0.5 x 720 x sin76) - (1 x A ) = 0

A = 648.31 N .............Ans ( along -ve x axis)

balancing forces on beam in vertical direction.

-230 + (-720cos76) + By = 0

By = 404.18 N

now balancing forces in horizontal direction,

-A + Bx - 720sin76 = 0

-648.31 + Bx - 698.61 = 0

Bx = 1346.92 N

reaction at B = 1346.92i + 404.18j

magnitude = sqrt(Bx^2 + By^2) = 1406.26 N