# Symmetrical Load

## Solution to Problem 691 | Beam Deflection by Method of Superposition

**Problem 691**

Determine the midspan deflection for the beam shown in Fig. P-691. (Hint: Apply Case No. 7 and integrate.)

## Solution to Problem 674 | Midspan Deflection

**Problem 674**

Find the deflection midway between the supports for the overhanging beam shown in Fig. P-674.

## Solution to Problem 673 | Midspan Deflection

**Problem 673**

For the beam shown in Fig. P-673, show that the midspan deflection is δ = (Pb/48EI) (3L^{2} - 4b^{2}).

## Midspan Deflection | Deflections in Simply Supported Beams

In simply supported beams, the tangent drawn to the elastic curve at the point of maximum deflection is horizontal and parallel to the unloaded beam. It simply means that the deviation from unsettling supports to the horizontal tangent is equal to the maximum deflection. If the simple beam is symmetrically loaded, the maximum deflection will occur at the midspan.

## 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 662 | Deflections in Simply Supported Beams

**Problem 662**

Determine the maximum deflection of the beam shown in Fig. P-662. Check your result by letting a = L/2 and comparing with case 8 in Table 6-2. Also, use your result to check the answer to Prob. 653.

## Solution to Problem 661 | Deflections in Simply Supported Beams

**Problem 661**

Compute the midspan deflection of the symmetrically loaded beam shown in Fig. P-661. Check your answer by letting a = L/2 and comparing with the answer to Problem 609.

## 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 609 | Double Integration Method

**Problem 609**

As shown in Fig. P-609, a simply supported beam carries two symmetrically placed concentrated loads. Compute the maximum deflection δ.