# point load

## 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 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.

## Solution to Problem 641 | Deflection of Cantilever Beams

**Problem 641**

For the cantilever beam shown in Fig. P-641, what will cause zero deflection at A?

## Solution to Problem 640 | Deflection of Cantilever Beams

**Problem 640**

Compute the value of δ at the concentrated load in Prob. 639. Is the deflection upward downward?

## Solution to Problem 636 | Deflection of Cantilever Beams

**Problem 636**

The cantilever beam shown in Fig. P-636 has a rectangular cross-section 50 mm wide by h mm high. Find the height h if the maximum deflection is not to exceed 10 mm. Use E = 10 GPa.

## Solution to Problem 632 | Moment Diagrams by Parts

**Problem 632**

For the beam loaded as shown in Fig. P-632, compute the value of (Area_{AB}) barred(X)_{A}. From this result, is the tangent drawn to the elastic curve at B directed up or down to the right? (Hint: Refer to the deviation equations and rules of sign.)

## Solution to Problem 630 | Moment Diagrams by Parts

**Problem 630**

For the beam loaded as shown in Fig. P-630, compute the value of (Area_{AB})barred(X)_{A} . From the result determine whether the tangent drawn to the elastic curve at B slopes up or down to the right. (Hint: Refer to the deviation equations and rules of sign.)

## Solution to Problem 624 | Moment Diagram by Parts

**Problem 624**

For the beam loaded as shown in Fig. P-624, compute the moment of area of the M diagrams between the reactions about both the left and the right reaction.

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