# simple beam

## Solution to Problem 686 | Beam Deflection by Method of Superposition

## Solution to Problem 685 | Beam Deflection by Method of Superposition

**Problem 685**

Determine the midspan value of EIδ for the beam loaded as shown in Fig. P-685. Use the method of superposition.

## Method of Superposition | Beam Deflection

The slope or deflection at any point on the beam is equal to the resultant of the slopes or deflections at that point caused by each of the load acting separately.

## Solution to Problem 681 | Midspan Deflection

**Problem 681**

Show that the midspan value of EIδ is (w_{o}b/48)(L^{3} - 2Lb^{2} + b^{3}) for the beam in part (a) of Fig. P-681. Then use this result to find the midspan EIδ of the loading in part (b) by assuming the loading to exceed over two separate intervals that start from midspan and adding the results.

## Solution to Problem 680 | Midspan Deflection

**Problem 680**

Determine the midspan value of EIδ for the beam loaded as shown in Fig. P-680.

## Solution to Problem 679 | Midspan Deflection

**Problem 679**

Determine the midspan value of EIδ for the beam shown in Fig. P-679 that carries a uniformly varying load over part of the span.

## Solution to Problem 678 | Midspan Deflection

**Problem 678**

Determine the midspan value of EIδ for the beam shown in Fig. P-678.

## Solution to Problem 677 | Midspan Deflection

**Problem 677**

Determine the midspan deflection of the beam loaded as shown in Fig. P-677.

## 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}).

## Solution to Problem 665 | Deflections in Simply Supported Beams

**Problem 665**

Replace the concentrated load in Prob. 664 by a uniformly distributed load of intensity w_{o} acting over the middle half of the beam. Find the maximum deflection.