# simple beam

## Solution to Problem 664 | Deflections in Simply Supported Beams

**Problem 664**

The middle half of the beam shown in Fig. P-664 has a moment of inertia 1.5 times that of the rest of the beam. Find the midspan deflection. (Hint: Convert the M diagram into an M/EI diagram.)

## 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 660 | Deflections in Simply Supported Beams

**Problem 660**

A simply supported beam is loaded by a couple M at its right end, as shown in Fig. P-660. Show that the maximum deflection occurs at x = 0.577L.

## Solution to Problem 659 | Deflections in Simply Supported Beams

**Problem 659**

A simple beam supports a concentrated load placed anywhere on the span, as shown in Fig. P-659. Measuring x from A, show that the maximum deflection occurs at x = √[(L^{2} - b^{2})/3].

## Solution to Problem 658 | Deflections in Simply Supported Beams

**Problem 658**

For the beam shown in Fig. P-658, find the value of EIδ at the point of application of the couple.

## 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.

## Solution to Problem 656 | Deflections in Simply Supported Beams

**Problem 656**

Find the value of EIδ at the point of application of the 200 N·m couple in Fig. P-656.

## Solution to Problem 655 | Deflections in Simply Supported Beams

**Problem 655**

Find the value of EIδ under each concentrated load of the beam shown in Fig. P-655.