Question

Determine the reactions at the supports A and B. EI is constant. (Figure 1)

Part A

Detemins the force of rosction ot A.

Part B

Determine the moment of reaction at A.

Part C

Determine the force of reaction at B.

Answer 1

Solution

The beam is simply support at B and fixed support at A so at Point A there are horizontal as well as vertical reaction force and at B there is only vertical support reaction.

Now the applied load is only in vertical direction therefore the horizontal reaction at A is zero.

And the sum of vertical reaction force is equal to the applied vertical load (WL)

R_A + R_B = WL

WL is act at the midpoint of the beam so the Reaction force at A and B both are same and equal to WL/2

R_A = R_B = WL/2

Moment of reaction force about A is

=WL/2*L

=WL²/2