## 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?

**Problem 641**

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

**Problem 638**

For the cantilever beam shown in Fig. P-638, determine the value of EIδ at the left end. Is this deflection upward or downward?

**Problem 631**

Determine the value of the couple M for the beam loaded as shown in Fig. P-631 so that the moment of area about A of the M diagram between A and B will be zero. What is the physical significance of this result?

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**Problem 629**

Solve Prob. 628 if the sense of **the couple is counterclockwise instead of clockwise** as shown in Fig. P-628.

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**Problem 628**

For the beam loaded with uniformly varying load and a couple as shown in Fig. P-628 compute the moment of area of the M diagrams between the reactions about both the left and the right reaction.

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**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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The moment-area method of finding the deflection of a beam will demand the accurate computation of the area of a moment diagram, as well as the moment of such area about any axis. To pave its way, this section will deal on how to draw moment diagram by parts and to calculate the moment of such diagrams about a specified axis.

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**Problem 619**

Determine the value of EIy midway between the supports for the beam loaded as shown in Fig. P-619.

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**Problem 618**

A simply supported beam carries a couple M applied as shown in Fig. P-618. Determine the equation of the elastic curve and the deflection at the point of application of the couple. Then letting a = L and a = 0, compare your solution of the elastic curve with cases 11 and 12 in the Summary of Beam Loadings.

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**Problem 617**

Replace the load P in Prob. 616 by a clockwise couple M applied at the right end and determine the slope and deflection at the right end.

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