# elastic diagram

## Solution to Problem 677 | Midspan Deflection

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## Solution to Problem 670 | Deflections in Simply Supported Beams

**Problem 670**

Determine the value of EIδ at the left end of the overhanging beam shown in Fig. P-670.

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## Solution to Problem 669 | Deflections in Simply Supported Beams

**Problem 669**

Compute the value of EIδ midway between the supports of the beam shown in Fig. P-669.

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## Solution to Problem 668 | Deflections in Simply Supported Beams

**Problem 668**

For the beam shown in Fig. P-668, compute the value of *P* that will cause the tangent to the elastic curve over support *R*_{2} to be horizontal. What will then be the value of *EI*δ under the 100-lb load?

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## Solution to Problem 667 | Deflections in Simply Supported Beams

**Problem 667**

Determine the value of EIδ at the right end of the overhanging beam shown in Fig. P-667. Is the deflection up or down?

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## 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.

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## Solution to Problem 664 | Deflections in Simply Supported Beams

**Problem 664**

The middle half of the beam shown in Fig. P-664 has a moment of inertia 1.5 times that of the rest of the beam. Find the midspan deflection. (Hint: Convert the M diagram into an M/EI diagram.)

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## Solution to Problem 663 | Deflections in Simply Supported Beams

**Problem 663**

Determine the maximum deflection of the beam carrying a uniformly distributed load over the middle portion, as shown in Fig. P-663. Check your answer by letting 2b = L.

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## Solution to Problem 662 | Deflections in Simply Supported Beams

**Problem 662**

Determine the maximum deflection of the beam shown in Fig. P-662. Check your result by letting a = L/2 and comparing with case 8 in Table 6-2. Also, use your result to check the answer to Prob. 653.

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## Solution to Problem 660 | Deflections in Simply Supported Beams

**Problem 660**

A simply supported beam is loaded by a couple M at its right end, as shown in Fig. P-660. Show that the maximum deflection occurs at x = 0.577L.

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