Problem 658 | Beam Deflection by Conjugate Beam Method Jhun Vert Fri, 04/24/2020 - 02:17 pm

Problem 658
For the beam shown in Fig. P-658, find the value of EIδ at the point of application of the couple.
 

658-conjugate-beam-method.gif

 

Problem 657 | Beam Deflection by Conjugate Beam Method Jhun Vert Fri, 04/24/2020 - 02:14 pm

Problem 657
Determine the midspan value of EIδ for the beam shown in Fig. P-657.
 

657-conjugate-beam-method.gif

 

Problem 654 | Beam Deflection by Conjugate Beam Method Jhun Vert Fri, 04/24/2020 - 02:08 pm

Problem 654
For the beam in Fig. P-654, find the value of EIδ at 2 ft from R2.
 

654-conjugate-beam-method.gif

 

Problem 653 | Beam Deflection by Conjugate Beam Method Jhun Vert Fri, 04/24/2020 - 01:53 pm

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.
 

653-conjugate-beam-method.gif

 

Conjugate Beam Method | Beam Deflection Jhun Vert Thu, 04/23/2020 - 03:23 pm
Slope on real beam = Shear on conjugate beam
Deflection on real beam = Moment on conjugate beam

 

Properties of Conjugate Beam

Otto Mohr
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.
  3. A simple support for the real beam remains simple support for the conjugate beam.
  4. A fixed end for the real beam becomes free end for the conjugate beam.
  5. The point of zero shear for the conjugate beam corresponds to a point of zero slope for the real beam.
  6. The point of maximum moment for the conjugate beam corresponds to a point of maximum deflection for the real beam.