# Uniformly Varying Load

## Solution to Problem 679 | Midspan Deflection

## Solution to Problem 677 | Midspan Deflection

**Problem 677**

Determine the midspan deflection of the beam loaded as shown in Fig. P-677.

## Solution to Problem 670 | Deflections in Simply Supported Beams

**Problem 670**

Determine the value of EIδ at the left end of the overhanging beam shown in Fig. P-670.

## Solution to Problem 667 | Deflections in Simply Supported Beams

**Problem 667**

Determine the value of EIδ at the right end of the overhanging beam shown in Fig. P-667. Is the deflection up or down?

## Solution to Problem 657 | Deflections in Simply Supported Beams

**Problem 657**

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

## 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 648 | Deflection of Cantilever Beams

**Problem 648**

For the cantilever beam loaded as shown in Fig. P-648, determine the deflection at a distance x from the support.

## Solution to Problem 647 | Deflection of Cantilever Beams

**Problem 647**

Find the maximum value of EIδ for the beam shown in Fig. P-647.

## Solution to Problem 646 | Deflection of Cantilever Beams

**Problem 646**

For the beam shown in Fig. P-646, determine the value of I that will limit the maximum deflection to 0.50 in. Assume that E = 1.5 × 10^{6} psi.

## Solution to Problem 645 | Deflection of Cantilever Beams

**Problem 645**

Compute the deflection and slope at a section 3 m from the wall for the beam shown in Fig. P-645. Assume that E = 10 GPa and I = 30 × 10^{6} mm^{4}.