# elastic curve

## Solution to Problem 632 | Moment Diagrams by Parts

**Problem 632**

For the beam loaded as shown in Fig. P-632, compute the value of (Area_{AB}) barred(X)_{A}. From this result, is the tangent drawn to the elastic curve at B directed up or down to the right? (Hint: Refer to the deviation equations and rules of sign.)

## 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 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 619 | Double Integration Method

**Problem 619**

Determine the value of EIy midway between the supports for the beam loaded as shown in Fig. P-619.

## Solution to Problem 618 | Double Integration Method

**Problem 618**

A simply supported beam carries a couple M applied as shown in Fig. P-618. Determine the equation of the elastic curve and the deflection at the point of application of the couple. Then letting a = L and a = 0, compare your solution of the elastic curve with cases 11 and 12 in the Summary of Beam Loadings.

## Solution to Problem 614 | Double Integration Method

**Problem 614**

For the beam loaded as shown in Fig. P-614, calculate the slope of the elastic curve over the right support.

## Solution to Problem 608 | Double Integration Method

**Problem 608**

Find the equation of the elastic curve for the cantilever beam shown in Fig. P-608; it carries a load that varies from zero at the wall to w_{o} at the free end. Take the origin at the wall.

## Solution to Problem 607 | Double Integration Method

**Problem 607**

Determine the maximum value of EIy for the cantilever beam loaded as shown in Fig. P-607. Take the origin at the wall.

## Solution to Problem 606 | Double Integration Method

**Problem 606**

Determine the maximum deflection δ in a simply supported beam of length L carrying a uniformly distributed load of intensity w_{o} applied over its entire length.