## Problem 726 | Fully restrained beam with concentrated load at midspan

**Problem 726**

A beam of length L, perfectly restrained at both ends, supports a concentrated load P at midspan. Determine the end moment and maximum deflection.

**Problem 726**

A beam of length L, perfectly restrained at both ends, supports a concentrated load P at midspan. Determine the end moment and maximum deflection.

**Problem 710**

Two timber beams are mounted at right angles and in contact with each other at their midpoints. The upper beam A is 2 in wide by 4 in deep and simply supported on an 8-ft span; the lower beam B is 3 in wide by 8 in deep and simply supported on a 10-ft span. At their cross-over point, they jointly support a load P = 2000 lb. Determine the contact force between the beams.

**Problem 656**

Find the value of EIδ at the point of application of the 200 N·m couple in Fig. P-656.

**Problem 655**

Find the value of EIδ under each concentrated load of the beam shown in Fig. P-655.

**Problem 696**

In Fig. P-696, determine the value of P for which the deflection under P will be zero.

**Problem 694**

The frame shown in Fig. P-694 is of constant cross section and is perfectly restrained at its lower end. Compute the vertical deflection caused by the couple M.

**Problem 693**

Determine the value of EIδ at the left end of the overhanging beam in Fig. P-693.

**Problem 690**

The beam shown in Fig. P-690 has a rectangular cross section 50 mm wide. Determine the proper depth d of the beam if the midspan deflection of the beam is not to exceed 20 mm and the flexural stress is limited to 10 MPa. Use E = 10 GPa.

**Problem 689**

The beam shown in Fig. P-689 has a rectangular cross section 4 inches wide by 8 inches deep. Compute the value of P that will limit the midspan deflection to 0.5 inch. Use E = 1.5 × 10^{6} psi.

**Problem 687**

Determine the midspan deflection of the beam shown in Fig. P-687 if E = 10 GPa and I = 20 × 10^{6} mm^{4}.