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

**Problem 723**

Find the reaction R and the moment at the wall for the propped beam shown in Fig. P-723.

**Problem 723**

Find the reaction R and the moment at the wall for the propped beam shown in Fig. P-723.

**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**

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

**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**

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

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

Rotation of beam from A to B

$\theta_{AB} = \dfrac{1}{EI}(\text{Area}_{AB})$

Deviation of B from a tangent line through A

$t_{B/A} = \dfrac{1}{EI} (Area_{AB}) \, \bar{X}_B$

**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.

**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.

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