# Propped Beam

## Problem 723 | Propped beam with uniform load over half the span

## Problem 722 | Propped beam with moment load on the span by area-moment method

**Problem 722**

For the beam shown in Fig. P-722, compute the reaction R at the propped end and the moment at the wall. Check your results by letting b = L and comparing with the results in Problem 707.

**Solution**

## Problem 707 | Propped beam with moment load at simple support by moment-area method

**Problem 707**

For the propped beam shown in Fig. P-707, solved for vertical reaction R at the simple support.

## Problem 721 | Propped beam with decreasing load by moment-area method

**Problem 721**

By the use of moment-are method, determine the magnitude of the reaction force at the left support of the propped beam in Fig. P-706.

## Problem 720 | Propped beam with increasing load by moment-area method

**Problem 720**

Find the reaction at the simple support of the propped beam shown in Fig. P-705 by using moment-area method.

## Problem 704 | Propped beam with some uniform load by moment-area method

**Problem 704**

Find the reaction at the simple support of the propped beam shown in Figure PB-001 by using moment-area method.

## Application of Area-Moment Method to Restrained Beams

See deflection of beam by moment-area method for details.

Rotation of beam from A to B

Deviation of B from a tangent line through A

## Problem 712 | Propped beam with initial clearance at the roller support

**Problem 712**

There is a small initial clearance D between the left end of the beam shown in Fig. P-712 and the roller support. Determine the reaction at the roller support after the uniformly distributed load is applied.

## Problem 709 | Propped Beam with Spring Support

**Example 06**

The beam in Figure PB-006 is supported at the left by a spring that deflects 1 inch for each 300 lb. For the beam E = 1.5 × 10^{6} psi and I = 144 in^{4}. Compute the deflection of the spring.