M/EI diagram

Problem 653
Compute the midspan value of EIδ for the beam shown in Fig. P-653. (Hint: Draw the M diagram by parts, starting from midspan toward the ends. Also take advantage of symmetry.
 

Properties of Conjugate Beam

Engr. Christian Otto Mohr

1. The length of a conjugate beam is always equal to the length of the actual beam.
2. The load on the conjugate beam is the M/EI diagram of the loads on the actual beam.

Problem 665
Replace the concentrated load in Prob. 664 by a uniformly distributed load of intensity w_o acting over the middle half of the beam. Find the maximum deflection.
 

Problem 664
The middle half of the beam shown in Fig. P-664 has a moment of inertia 1.5 times that of the rest of the beam. Find the midspan deflection. (Hint: Convert the M diagram into an M/EI diagram.)