## 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.

**Problem 686**

Determine the value of EIδ under each concentrated load in Fig. P-686.

**Problem 685**

Determine the midspan value of EIδ for the beam loaded as shown in Fig. P-685. Use the method of superposition.

**Problem 680**

Determine the midspan value of EIδ for the beam loaded as shown in Fig. P-680.

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**Problem 678**

Determine the midspan value of EIδ for the beam shown in Fig. P-678.

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**Problem 674**

Find the deflection midway between the supports for the overhanging beam shown in Fig. P-674.

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**Problem 673**

For the beam shown in Fig. P-673, show that the midspan deflection is δ = (Pb/48EI) (3L^{2} - 4b^{2}).

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**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?

**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.)

**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.

**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].