For the beams and loadings shown, assume that is constant for each beam. (a) For the beam in Figure P11.31a, determine the concentrated downward force P required to make the total beam deflection at...

For the beams and loadings shown, assume that

is constant for each beam.

(a) For the beam in Figure P11.31a, determine the concentrated downward force P required to make the total beam deflection at B equal to zero (i.e., v_B
= 0).

(b) For the beam in Figure P11.31b, determine the concentrated moment M required to make the total beam slope at A equal to zero (i.e.,

_A
= 0).