# Uniformly Varying Load

## Solution to Problem 630 | Moment Diagrams by Parts

**Problem 630**

For the beam loaded as shown in Fig. P-630, compute the value of (Area_{AB})barred(X)_{A} . From the result determine whether the tangent drawn to the elastic curve at B slopes up or down to the right. (Hint: Refer to the deviation equations and rules of sign.)

## 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.

## Solution to Problem 620 | Double Integration Method

**Problem 620**

Find the midspan deflection δ for the beam shown in Fig. P-620, carrying two triangularly distributed loads. (*Hint:* For convenience, select the origin of the axes at the midspan position of the elastic curve.)

## Solution to Problem 503 | Flexure Formula

## Solution to Problem 445 | Relationship Between Load, Shear, and Moment

**Problem 445**

Beam carrying the loads shown in Fig. P-445.

## Solution to Problem 444 | Relationship Between Load, Shear, and Moment

## Solution to Problem 443 | Relationship Between Load, Shear, and Moment

**Problem 443**

Beam carrying the triangular loads shown in Fig. P-443.