Solution to Problem 686 | Beam Deflection by Method of Superposition
Problem 686
Determine the value of EIδ under each concentrated load in Fig. P-686.
Solution to Problem 685 | Beam Deflection by Method of Superposition
Problem 685
Determine the midspan value of EIδ for the beam loaded as shown in Fig. P-685. Use the method of superposition.
Solution to Problem 680 | Midspan Deflection
Problem 680
Determine the midspan value of EIδ for the beam loaded as shown in Fig. P-680.
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Solution to Problem 678 | Midspan Deflection
Problem 678
Determine the midspan value of EIδ for the beam shown in Fig. P-678.
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Solution to Problem 674 | Midspan Deflection
Problem 674
Find the deflection midway between the supports for the overhanging beam shown in Fig. P-674.
![Overhang beam with point load at the free end](http://www.mathalino.com/sites/default/files/images/674-right-hand-overhang-beam.jpg)
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Solution to Problem 673 | Midspan Deflection
Problem 673
For the beam shown in Fig. P-673, show that the midspan deflection is δ = (Pb/48EI) (3L2 - 4b2).
![Simple beam with concentrated load](http://www.mathalino.com/sites/default/files/images/673-simple-beam-with-concentrated-load.jpg)
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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 R2 to be horizontal. What will then be the value of EIδ under the 100-lb load?
![Overhang beam with point load between supports and at the free end](http://www.mathalino.com/sites/default/files/images/668-overhang-beam-point-loads.jpg)
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.)
![Simple beam with different moment of inertia over the span](http://www.mathalino.com/sites/default/files/images/664-665-simple-beam-with-different-inertia.jpg)
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.
![Symmetrically Placed Point Loads over a Simple Beam](http://www.mathalino.com/sites/default/files/images/661-simple-beam-symmetric-point-loads.jpg)
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 = √[(L2 - b2)/3].
![Simple Beam with Load P at any Point](http://www.mathalino.com/sites/default/files/images/659-simple-beam-with-concentrated-load-at-any-point.jpg)