# Uniformly Distributed Load

## Solution to Problem 666 | Deflections in Simply Supported Beams

**Problem 666**

Determine the value of EIδ at the right end of the overhanging beam shown in Fig. P-666.

## Solution to Problem 665 | Deflections in Simply Supported Beams

**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.

## Solution to Problem 663 | Deflections in Simply Supported Beams

**Problem 663**

Determine the maximum deflection of the beam carrying a uniformly distributed load over the middle portion, as shown in Fig. P-663. Check your answer by letting 2b = L.

## Solution to Problem 654 | Deflections in Simply Supported Beams

**Problem 654**

For the beam in Fig. P-654, find the value of EIδ at 2 ft from R_{2}. (Hint: Draw the reference tangent to the elastic curve at R_{2}.)

## Solution to Problem 653 | Deflections in Simply Supported Beams

**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 to note that the tangent drawn to the elastic curve at midspan is horizontal.)

## Resultant of Parallel Force System

**Coplanar Parallel Force System**

Parallel forces can be in the same or in opposite directions. The sign of the direction can be chosen arbitrarily, meaning, taking one direction as positive makes the opposite direction negative. The complete definition of the resultant is according to its magnitude, direction, and line of action.

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## Solution to Problem 644 | Deflection of Cantilever Beams

**Problem 644**

Determine the maximum deflection for the beam loaded as shown in Fig. P-644.

## Solution to Problem 640 | Deflection of Cantilever Beams

**Problem 640**

Compute the value of δ at the concentrated load in Prob. 639. Is the deflection upward downward?

## Solution to Problem 639 | Deflection of Cantilever Beams

**Problem 639**

The downward distributed load and an upward concentrated force act on the cantilever beam in Fig. P-639. Find the amount the free end deflects upward or downward if E = 1.5 × 10^{6} psi and I = 60 in^{4}.

## Solution to Problem 637 | Deflection of Cantilever Beams

**Problem 637**

For the beam loaded as shown in Fig. P-637, determine the deflection 6 ft from the wall. Use E = 1.5 × 10^{6} psi and I = 40 in^{4}.