The beam shown carries vertical loads as indicated. Calculate the reaction at each support...

Consider the moment equilibrium equation about point A.

Here, is the vertical component of reaction force at point B.

Therefore, the vertical component of reaction force at point B is

Consider the force equilibrium equation along x-direction.

Here, is the horizontal component of reaction force at point A.

Therefore, the horizontal component of reaction force at point A is.

Consider the force equilibrium equation along y-direction.

Here, is the vertical component of reaction force at point A.

Substitute for .

Therefore, the vertical component of reaction force at point A is.