Calculate reactions and draw the shear force & bending force moment diagram. Show how you solved the support forces and calculated the shear and moment diagram
Calculate reactions and draw the shear force & bending force moment diagram. Show how you solved the support forces and calculated the shear and moment diagram.
Answer
Separate the beam at internal hinge D as shown below and balance the force at hinge in a way that the beam remains stable.
Calculation of reactions
Calculate reactions from beam 2 first
Consider Moment equilibrium at D(Anticlockwise Moment about D = clockwise Moment about D)
Cy*2.5=5*1.5
Cy = 3 KN
Now Consider vertical equilibrium
Dy+Cy = 5
Dy = 3=5
DY = 2 KN
Now calculate reactions from beam 1
Since there is no horizontal force on beam 1 on considering horizontal equilibrium we get Ax =0
Consider Moment equilibrium at A
By*3 = 2*4*2+Dy*4
By*3 = 16+2*4
By = 8 KN
Now Consider vertical equilibrium
Ay+BY = 2*4+Dy
Ay+8 = 2*4+2
Ay = 2 KN
Step by step
Solved in 3 steps with 3 images
