## Problem 658 | Beam Deflection by Conjugate Beam Method

**Problem 658**

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

**Problem 658**

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

**Problem 657**

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

**Problem 656**

Find the value of EIδ at the point of application of the 200 N·m couple in Fig. P-656.

**Problem 655**

Find the value of EIδ under each concentrated load of the beam shown in Fig. P-655.

**Problem 654**

For the beam in Fig. P-654, find the value of EIδ at 2 ft from R_{2}.

**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.

Slope on real beam = Shear on conjugate beam

Deflection on real beam = Moment on conjugate beam

Deflection on real beam = Moment on conjugate beam

Engr. Christian Otto Mohr

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

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**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.)