# maximum deflection

## 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 661 | Deflections in Simply Supported Beams

**Problem 661**

Compute the midspan deflection of the symmetrically loaded beam shown in Fig. P-661. Check your answer by letting a = L/2 and comparing with the answer to Problem 609.

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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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## 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].

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## Solution to Problem 653 | Deflections in Simply Supported Beams

**Problem 653**

Compute the midspan value of EIδ for the beam shown in Fig. P-653. (Hint: Draw the M diagram by parts, starting from midspan toward the ends. Also take advantage of symmetry to note that the tangent drawn to the elastic curve at midspan is horizontal.)

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## Solution to Problem 647 | Deflection of Cantilever Beams

**Problem 647**

Find the maximum value of EIδ for the beam shown in Fig. P-647.

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## Solution to Problem 644 | Deflection of Cantilever Beams

**Problem 644**

Determine the maximum deflection for the beam loaded as shown in Fig. P-644.

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