Calculate the reactions at the beam?

To calculate the reactions at the beam, we need to first determine the external forces acting on the beam. These forces can include point loads, distributed loads, and moments.

Once we have identified all the external forces, we can use the equations of equilibrium to calculate the reactions at the beam. The equations of equilibrium are:

1. Sum of forces in the x-direction: ΣFx = 0
2. Sum of forces in the y-direction: ΣFy = 0
3. Sum of moments about a point: ΣM = 0

By applying these equations to the beam, we can solve for the reactions at the supports. The reactions will depend on the type and magnitude of the external forces acting on the beam.

Reactions at the Beam

Vertical Reaction at A (R_A):

R_A = 1/2 - 10 kN = 5 kN

Vertical Reaction at B (R_B):

R_B = 1/2 - 10 kN = 5 kN

Horizontal Reaction at A (H_A):

ΣFx = 0: H_A + 0 = 0
∴ H_A = 0

Horizontal Reaction at B (H_B):

ΣFx = 0: H_B - 0 = 0
∴ H_B = 0

Therefore, the reactions at the beam are:

- R_A = 5 kN (Vertical reaction at A)
- R_B = 5 kN (Vertical reaction at B)
- H_A = 0 (Horizontal reaction at A)
- H_B = 0 (Horizontal reaction at B)