# Triangular Load

## 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.

## 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 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}.

## Solution to Problem 629 | Moment Diagrams by Parts

**Problem 629**

Solve Prob. 628 if the sense of **the couple is counterclockwise instead of clockwise** as shown in Fig. P-628.

## Solution to Problem 628 | Moment Diagrams by Parts

**Problem 628**

For the beam loaded with uniformly varying load and a couple as shown in Fig. P-628 compute the moment of area of the M diagrams between the reactions about both the left and the right reaction.

## Solution to Problem 627 | Moment Diagram by Parts

**Problem 627**

For the beam loaded as shown in Fig. P-627compute the moment of area of the M diagrams between the reactions about both the left and the right reaction. (Hint: Resolve the trapezoidal loading into a uniformly distributed load and a uniformly varying load.)

## Moment Diagram by Parts

The moment-area method of finding the deflection of a beam will demand the accurate computation of the area of a moment diagram, as well as the moment of such area about any axis. To pave its way, this section will deal on how to draw moment diagram by parts and to calculate the moment of such diagrams about a specified axis.