For cantilever beam BD
From Case No. 1 of beam loading cases
, the maximum deflection at the end of cantilever beam due to concentrated force at the free end is given by
For the simple beam AC
The deflection at distance x from Case No. 7 of different beam loadings is
For , the deflection equation will become
For beam AC; P = RB, a = 8 ft, b = 4 ft, and L = 12 ft.
Solving for the contact force, RB
Determining the maximum moment
The maximum moment on cantilever beam will occur at D
The maximum moment on simple beam will occur at point B.
Maximum moment is at point B
Solving for maximum flexural stress
The bending stress of rectangular beam is given by