## Problem 856 | Continuous Beams with Fixed Ends

Problem 856
For the beam shown in Fig. P-856, determine the moments over the supports. Also draw the shear diagram and compute the maximum positive bending moment. ## Reactions of Continuous Beams | Shear Diagrams

Finding the Reactions of Continuous Beams
Isolate each span of the beam and consider each as simply supported carrying the original span loading and the computed end moments. Resolve further the simple span into simple beams, one carrying the given loads plus another beam carrying the end moments and couple reactions. With this method, the interior reaction was divided into parts which can be summed up find the total reaction. See example below.

General instruction
In the following problems, determine the reactions and sketch the shear diagrams. Then compute the values of maximum vertical shear V and maximum positive bending moment M. In solving the problems, use the moments determined in the reference problems unless otherwise instructed.

## Solution to Problem 420 | Shear and Moment Diagrams

Problem 420
A total distributed load of 30 kips supported by a uniformly distributed reaction as shown in Fig. P-420. 